Faculty

Lecturer in Economics in Sri Niranjana Swamy College, Sunkadakatte from 1994 to 1996.

Lecturer in Economics in S.D.P.T College, Kateel from 1996 to 2005.

Founder Principal of Sri Ramakrishna Degree College, Mangalore from 2005 to 2017 (May)

Director and Principal – Mahesh PU College, Mangalore from 2017 to 2019

25 years of teaching experience as a lecturer in Economics for Pre-University College and Degree College. 15 years of experience as a Principal of Degree and P U College.

Graduation from St. Aloysius College, Mangalore (1990).

Post Graduation in Economics from Mangalore University (1993).

Post Graduate Diploma in Human Resource Management from Mysore University (1999)

Completed Post Graduate Diploma in Computer Applications (2002).

Completed Ph.D in Human Resource Development from Mangalore University (2012)

Physics

Commerce

Statistics

Hindi

Mathematics

Computer Sc.

Commerce

Chemistry

Mathematics

Physics

English

• Non- linear Differential Equations

• Funded Projects Carried out   in MAHE Manipal     :   01
• No. of Books Published by MAHE, MANIPAL with details:  03                                    Basic Mathematics for UG students                                                                Statistics   for UG students                                                                        Mathematics - for UG students

• Teaching / administrative  :  ( From 1.8.1987)  37 years in the Dept of Mathematics,    ( Professor from  5.9. 2001).
• Research                           :  MIT, MAHE, Manipal.   Collaborative Work with  I.I.T.Delhi and    I.I.Sc.Bangalore. 
• Teaching Experience :  Subjects Taught at Under Graduate Level   :All semesters (                                            Engg.Maths)                                                                                                                 Post Graduate Level           : M.Tech and M.Sc (Applied                                                                 Mathematics & Computing)  MIT, MAHE, Manipal

• Non- linear Differential Equations

• Computer extended series for squeezing flow between two plates in "Fluid Dynamics Research (Japan) 16, (1995), P173-187.
• Computer extended series solution to the viscous flow between rotating discs in "Proc, Indian Academy of sciences". Vol. 05, No: 3, Aug.1995 P: 353-369.
• Computer extended series solution for unsteady flows in "Proc. of National conference" , Dharwad, 1995, vol.1, p30-40.
• A semi-analytic approach to stagnant point flow between porous plates with mass transfer in "Indian Journal of Pure and Applied Mathematics. (Journal of Indian National Science Academy) 1995 26(4) 373-389.
• Series solution for unsteady flow in a contracting or expanding pipe in I.M.A. Journal of Applied Mathematics (U.K., Oxford press) 1998, 60 p: 151-165.
• Dirichlet series solution of problems arising in boundary layer theory in Journal of Mathematical and Computer Modeling, (U.S.A) Pergman Press, 1999, 57,P:178-195.
• Analytic continuation of series solution representing flow between plates, in Indian Journal of Pure & Applied Mathematics in May, 2007, 587 - 598. 
• Electohydronamic Kelvin - Helmhoilz Instability in a Fluid Layer Bounded Above by a Porous Layer and below a rigid surface.in Int Journal of Tech Sci U S A, 2011, 2,281-288.
• Semi Numerical solution of Boundary value problems in "American Journal of computational Mathematics", USA, 2013,3,43-47.
• A Semi-analytical approach to coupled boundary value problem in "American Journal of computational Mathematics", 2014, 4,311-316,.
• A semi-numerical solution to problem of flow between two discs in "British Journal of Mathematics and computer science", 2015,10(5), 1-7.
• Dirichlet series solution approach to coupled equations arising in boundary in boundary value problems,in "International Journal of pure and applied Mathematics", 2016,9(2), 265-272.
• A semi-numerical approach to unsteady squeezing flow of casson fluid between parallel plates, in "Malaysian Journal of Mathematical sciences",2018, 12(1), 35-47.
• Analysis of elliptical porous slider through semi-analytical technique, in "Journal of Advanced research in fluid mechanics and thermal sciences", 2018.
• Semi-analytical approach to heat transfer in squeezing flow between two parallel discs with and without velocity slip and temperature jump in "JMERD",2018,41(1), 51-61.
• Suction and injection effect on the flow between two plates with reference to the casson fluid model, in the "Journal Multidiscipline Model in material and Structures" 2018.
• Analysis of fluid flow between two rotating disks, "Journal of Advanced  research in fluid mechanics and thermal sciences"2019, 58(2), pp. 161-172
• Flow of Casson fluid through circular porous bearings, "CFD letters ", 2020, 12(7), pp. 48-56
• Analysis of mhd flow and heat transfer of laminar flow between porous   disks,in "Frontiers in Heat and Mass transfer", 2021, 16, 3. 
• Analysis of MHD Flow and Heat Transfer of Casson fluid Flow Between  Porous Disks, 2"Journal of Advanced Research in fluid mechanics and Thermal  Sciences"2021, 83(1), pp. 46-60.
•  Analysis of Casson flow through parallel and uniform porous walls of different Permeability in "IAENG Journal of Applied Mathematics ", 2023, 50(1).
• Heat transfer analysis of MHD Casson fluid flow between two porous plates with   Different permeability, Frontiers in Heat and mass transfer 2023,50,1.
• HEAT TRANSFER ANALYSIS OF MHD CASSON FLUID FLOW  BETWEEN TWO POROUS PLATES WITH DIFFERENT  PERMEABILITY, Frontiers in Heat and Mass  Transfer, 2023, 20, 30
• RADIATION EFFECT ON MHD CASSON FLUID FLOW  BETWEEN PARALLEL PLATES OF DIFFERENTPERMEABILITY   Global and Stochastic Analysis., 2023, 10(2), pp. 135-149.
•  ANALYSIS OF CASSON FLUID FLOW BETWEEN TWO POROUS  DISKS WITH STRETCHING MOTION A MASS TRANSPIRATION  Global and Stochastic Analysis, 2023, 10(2), pp. 61-70. 
•  Analysis of Casson Flow Through Parallel and Uniformly Porous Walls  of Different Permeability IAENG International Journal of Applied Mathematics., 2023, 53(1),        
• Analysis of MHD and Heat Transfer Characteristics of Thermally   Radiative Upper-Convected Maxwell Fluid Flow between Moving Plates: Semi-Analytical and Numerical Solution, CFD Letters, 2024, 16(4), pp. 39-53.
• Analysis of Magnetic Effect on UCM Fluid Flow between a Stationary and a Moving Plate,Engineering Letters, 2024, 32(4), pp. 792-799
• Radiation Effect on Heat Transfer Analysis of MHD Flow of Upper Convected Maxwell Fluid between a Porous and a Moving Plate,Frontiers in Heat and Mass transfer, 2024, 22(2), pp. 655-673
• Analysis of fow and heat transfer characteristics of ethylene glycol‑based magnetite nanoparticles squeezed between parallel disks with magnetic efect in  Journal of Thermal Analysis and Calorimetry (2024)                                      https://doi.org/10.1007/s10973-024-13481-1

• Funded Projects Carried out   in MAHE Manipal     :   01
• No. of Books Published by MAHE, MANIPAL with details:  03                                    Basic Mathematics for UG students                                                                Statistics   for UG students                                                                        Mathematics - for UG students

• Non- linear Differential Equations

• Funded Projects Carried out   in MAHE Manipal     :   01
• No. of Books Published by MAHE, MANIPAL with details:  03                                    Basic Mathematics for UG students                                                                Statistics   for UG students                                                                        Mathematics - for UG students

• Teaching / administrative  :  ( From 1.8.1987)  37 years in the Dept of Mathematics,    ( Professor from  5.9. 2001).
• Research                           :  MIT, MAHE, Manipal.   Collaborative Work with  I.I.T.Delhi and    I.I.Sc.Bangalore. 
• Teaching Experience :  Subjects Taught at Under Graduate Level   :All semesters (                                            Engg.Maths)                                                                                                                 Post Graduate Level           : M.Tech and M.Sc (Applied                                                                 Mathematics & Computing)  MIT, MAHE, Manipal

• Non- linear Differential Equations

• Computer extended series for squeezing flow between two plates in "Fluid Dynamics Research (Japan) 16, (1995), P173-187.
• Computer extended series solution to the viscous flow between rotating discs in "Proc, Indian Academy of sciences". Vol. 05, No: 3, Aug.1995 P: 353-369.
• Computer extended series solution for unsteady flows in "Proc. of National conference" , Dharwad, 1995, vol.1, p30-40.
• A semi-analytic approach to stagnant point flow between porous plates with mass transfer in "Indian Journal of Pure and Applied Mathematics. (Journal of Indian National Science Academy) 1995 26(4) 373-389.
• Series solution for unsteady flow in a contracting or expanding pipe in I.M.A. Journal of Applied Mathematics (U.K., Oxford press) 1998, 60 p: 151-165.
• Dirichlet series solution of problems arising in boundary layer theory in Journal of Mathematical and Computer Modeling, (U.S.A) Pergman Press, 1999, 57,P:178-195.
• Analytic continuation of series solution representing flow between plates, in Indian Journal of Pure & Applied Mathematics in May, 2007, 587 - 598. 
• Electohydronamic Kelvin - Helmhoilz Instability in a Fluid Layer Bounded Above by a Porous Layer and below a rigid surface.in Int Journal of Tech Sci U S A, 2011, 2,281-288.
• Semi Numerical solution of Boundary value problems in "American Journal of computational Mathematics", USA, 2013,3,43-47.
• A Semi-analytical approach to coupled boundary value problem in "American Journal of computational Mathematics", 2014, 4,311-316,.
• A semi-numerical solution to problem of flow between two discs in "British Journal of Mathematics and computer science", 2015,10(5), 1-7.
• Dirichlet series solution approach to coupled equations arising in boundary in boundary value problems,in "International Journal of pure and applied Mathematics", 2016,9(2), 265-272.
• A semi-numerical approach to unsteady squeezing flow of casson fluid between parallel plates, in "Malaysian Journal of Mathematical sciences",2018, 12(1), 35-47.
• Analysis of elliptical porous slider through semi-analytical technique, in "Journal of Advanced research in fluid mechanics and thermal sciences", 2018.
• Semi-analytical approach to heat transfer in squeezing flow between two parallel discs with and without velocity slip and temperature jump in "JMERD",2018,41(1), 51-61.
• Suction and injection effect on the flow between two plates with reference to the casson fluid model, in the "Journal Multidiscipline Model in material and Structures" 2018.
• Analysis of fluid flow between two rotating disks, "Journal of Advanced  research in fluid mechanics and thermal sciences"2019, 58(2), pp. 161-172
• Flow of Casson fluid through circular porous bearings, "CFD letters ", 2020, 12(7), pp. 48-56
• Analysis of mhd flow and heat transfer of laminar flow between porous   disks,in "Frontiers in Heat and Mass transfer", 2021, 16, 3. 
• Analysis of MHD Flow and Heat Transfer of Casson fluid Flow Between  Porous Disks, 2"Journal of Advanced Research in fluid mechanics and Thermal  Sciences"2021, 83(1), pp. 46-60.
•  Analysis of Casson flow through parallel and uniform porous walls of different Permeability in "IAENG Journal of Applied Mathematics ", 2023, 50(1).
• Heat transfer analysis of MHD Casson fluid flow between two porous plates with   Different permeability, Frontiers in Heat and mass transfer 2023,50,1.
• HEAT TRANSFER ANALYSIS OF MHD CASSON FLUID FLOW  BETWEEN TWO POROUS PLATES WITH DIFFERENT  PERMEABILITY, Frontiers in Heat and Mass  Transfer, 2023, 20, 30
• RADIATION EFFECT ON MHD CASSON FLUID FLOW  BETWEEN PARALLEL PLATES OF DIFFERENTPERMEABILITY   Global and Stochastic Analysis., 2023, 10(2), pp. 135-149.
•  ANALYSIS OF CASSON FLUID FLOW BETWEEN TWO POROUS  DISKS WITH STRETCHING MOTION A MASS TRANSPIRATION  Global and Stochastic Analysis, 2023, 10(2), pp. 61-70. 
•  Analysis of Casson Flow Through Parallel and Uniformly Porous Walls  of Different Permeability IAENG International Journal of Applied Mathematics., 2023, 53(1),        
• Analysis of MHD and Heat Transfer Characteristics of Thermally   Radiative Upper-Convected Maxwell Fluid Flow between Moving Plates: Semi-Analytical and Numerical Solution, CFD Letters, 2024, 16(4), pp. 39-53.
• Analysis of Magnetic Effect on UCM Fluid Flow between a Stationary and a Moving Plate,Engineering Letters, 2024, 32(4), pp. 792-799
• Radiation Effect on Heat Transfer Analysis of MHD Flow of Upper Convected Maxwell Fluid between a Porous and a Moving Plate,Frontiers in Heat and Mass transfer, 2024, 22(2), pp. 655-673
• Analysis of fow and heat transfer characteristics of ethylene glycol‑based magnetite nanoparticles squeezed between parallel disks with magnetic efect in  Journal of Thermal Analysis and Calorimetry (2024)                                      https://doi.org/10.1007/s10973-024-13481-1

• Funded Projects Carried out   in MAHE Manipal     :   01
• No. of Books Published by MAHE, MANIPAL with details:  03                                    Basic Mathematics for UG students                                                                Statistics   for UG students                                                                        Mathematics - for UG students

• Teaching / administrative  :  ( From 1.8.1987)  37 years in the Dept of Mathematics,    ( Professor from  5.9. 2001).
• Research                           :  MIT, MAHE, Manipal.   Collaborative Work with  I.I.T.Delhi and    I.I.Sc.Bangalore. 
• Teaching Experience :  Subjects Taught at Under Graduate Level   :All semesters (                                            Engg.Maths)                                                                                                                 Post Graduate Level           : M.Tech and M.Sc (Applied                                                                 Mathematics & Computing)  MIT, MAHE, Manipal

• Non- linear Differential Equations

• Computer extended series for squeezing flow between two plates in "Fluid Dynamics Research (Japan) 16, (1995), P173-187.
• Computer extended series solution to the viscous flow between rotating discs in "Proc, Indian Academy of sciences". Vol. 05, No: 3, Aug.1995 P: 353-369.
• Computer extended series solution for unsteady flows in "Proc. of National conference" , Dharwad, 1995, vol.1, p30-40.
• A semi-analytic approach to stagnant point flow between porous plates with mass transfer in "Indian Journal of Pure and Applied Mathematics. (Journal of Indian National Science Academy) 1995 26(4) 373-389.
• Series solution for unsteady flow in a contracting or expanding pipe in I.M.A. Journal of Applied Mathematics (U.K., Oxford press) 1998, 60 p: 151-165.
• Dirichlet series solution of problems arising in boundary layer theory in Journal of Mathematical and Computer Modeling, (U.S.A) Pergman Press, 1999, 57,P:178-195.
• Analytic continuation of series solution representing flow between plates, in Indian Journal of Pure & Applied Mathematics in May, 2007, 587 - 598. 
• Electohydronamic Kelvin - Helmhoilz Instability in a Fluid Layer Bounded Above by a Porous Layer and below a rigid surface.in Int Journal of Tech Sci U S A, 2011, 2,281-288.
• Semi Numerical solution of Boundary value problems in "American Journal of computational Mathematics", USA, 2013,3,43-47.
• A Semi-analytical approach to coupled boundary value problem in "American Journal of computational Mathematics", 2014, 4,311-316,.
• A semi-numerical solution to problem of flow between two discs in "British Journal of Mathematics and computer science", 2015,10(5), 1-7.
• Dirichlet series solution approach to coupled equations arising in boundary in boundary value problems,in "International Journal of pure and applied Mathematics", 2016,9(2), 265-272.
• A semi-numerical approach to unsteady squeezing flow of casson fluid between parallel plates, in "Malaysian Journal of Mathematical sciences",2018, 12(1), 35-47.
• Analysis of elliptical porous slider through semi-analytical technique, in "Journal of Advanced research in fluid mechanics and thermal sciences", 2018.
• Semi-analytical approach to heat transfer in squeezing flow between two parallel discs with and without velocity slip and temperature jump in "JMERD",2018,41(1), 51-61.
• Suction and injection effect on the flow between two plates with reference to the casson fluid model, in the "Journal Multidiscipline Model in material and Structures" 2018.
• Analysis of fluid flow between two rotating disks, "Journal of Advanced  research in fluid mechanics and thermal sciences"2019, 58(2), pp. 161-172
• Flow of Casson fluid through circular porous bearings, "CFD letters ", 2020, 12(7), pp. 48-56
• Analysis of mhd flow and heat transfer of laminar flow between porous   disks,in "Frontiers in Heat and Mass transfer", 2021, 16, 3. 
• Analysis of MHD Flow and Heat Transfer of Casson fluid Flow Between  Porous Disks, 2"Journal of Advanced Research in fluid mechanics and Thermal  Sciences"2021, 83(1), pp. 46-60.
•  Analysis of Casson flow through parallel and uniform porous walls of different Permeability in "IAENG Journal of Applied Mathematics ", 2023, 50(1).
• Heat transfer analysis of MHD Casson fluid flow between two porous plates with   Different permeability, Frontiers in Heat and mass transfer 2023,50,1.
• HEAT TRANSFER ANALYSIS OF MHD CASSON FLUID FLOW  BETWEEN TWO POROUS PLATES WITH DIFFERENT  PERMEABILITY, Frontiers in Heat and Mass  Transfer, 2023, 20, 30
• RADIATION EFFECT ON MHD CASSON FLUID FLOW  BETWEEN PARALLEL PLATES OF DIFFERENTPERMEABILITY   Global and Stochastic Analysis., 2023, 10(2), pp. 135-149.
•  ANALYSIS OF CASSON FLUID FLOW BETWEEN TWO POROUS  DISKS WITH STRETCHING MOTION A MASS TRANSPIRATION  Global and Stochastic Analysis, 2023, 10(2), pp. 61-70. 
•  Analysis of Casson Flow Through Parallel and Uniformly Porous Walls  of Different Permeability IAENG International Journal of Applied Mathematics., 2023, 53(1),        
• Analysis of MHD and Heat Transfer Characteristics of Thermally   Radiative Upper-Convected Maxwell Fluid Flow between Moving Plates: Semi-Analytical and Numerical Solution, CFD Letters, 2024, 16(4), pp. 39-53.
• Analysis of Magnetic Effect on UCM Fluid Flow between a Stationary and a Moving Plate,Engineering Letters, 2024, 32(4), pp. 792-799
• Radiation Effect on Heat Transfer Analysis of MHD Flow of Upper Convected Maxwell Fluid between a Porous and a Moving Plate,Frontiers in Heat and Mass transfer, 2024, 22(2), pp. 655-673
• Analysis of fow and heat transfer characteristics of ethylene glycol‑based magnetite nanoparticles squeezed between parallel disks with magnetic efect in  Journal of Thermal Analysis and Calorimetry (2024)                                      https://doi.org/10.1007/s10973-024-13481-1

• Funded Projects Carried out   in MAHE Manipal     :   01
• No. of Books Published by MAHE, MANIPAL with details:  03                                    Basic Mathematics for UG students                                                                Statistics   for UG students                                                                        Mathematics - for UG students

• Teaching / administrative  :  ( From 1.8.1987)  37 years in the Dept of Mathematics,    ( Professor from  5.9. 2001).
• Research                           :  MIT, MAHE, Manipal.   Collaborative Work with  I.I.T.Delhi and    I.I.Sc.Bangalore. 
• Teaching Experience :  Subjects Taught at Under Graduate Level   :All semesters (                                            Engg.Maths)                                                                                                                 Post Graduate Level           : M.Tech and M.Sc (Applied                                                                 Mathematics & Computing)  MIT, MAHE, Manipal

• Non- linear Differential Equations

• Computer extended series for squeezing flow between two plates in "Fluid Dynamics Research (Japan) 16, (1995), P173-187.
• Computer extended series solution to the viscous flow between rotating discs in "Proc, Indian Academy of sciences". Vol. 05, No: 3, Aug.1995 P: 353-369.
• Computer extended series solution for unsteady flows in "Proc. of National conference" , Dharwad, 1995, vol.1, p30-40.
• A semi-analytic approach to stagnant point flow between porous plates with mass transfer in "Indian Journal of Pure and Applied Mathematics. (Journal of Indian National Science Academy) 1995 26(4) 373-389.
• Series solution for unsteady flow in a contracting or expanding pipe in I.M.A. Journal of Applied Mathematics (U.K., Oxford press) 1998, 60 p: 151-165.
• Dirichlet series solution of problems arising in boundary layer theory in Journal of Mathematical and Computer Modeling, (U.S.A) Pergman Press, 1999, 57,P:178-195.
• Analytic continuation of series solution representing flow between plates, in Indian Journal of Pure & Applied Mathematics in May, 2007, 587 - 598. 
• Electohydronamic Kelvin - Helmhoilz Instability in a Fluid Layer Bounded Above by a Porous Layer and below a rigid surface.in Int Journal of Tech Sci U S A, 2011, 2,281-288.
• Semi Numerical solution of Boundary value problems in "American Journal of computational Mathematics", USA, 2013,3,43-47.
• A Semi-analytical approach to coupled boundary value problem in "American Journal of computational Mathematics", 2014, 4,311-316,.
• A semi-numerical solution to problem of flow between two discs in "British Journal of Mathematics and computer science", 2015,10(5), 1-7.
• Dirichlet series solution approach to coupled equations arising in boundary in boundary value problems,in "International Journal of pure and applied Mathematics", 2016,9(2), 265-272.
• A semi-numerical approach to unsteady squeezing flow of casson fluid between parallel plates, in "Malaysian Journal of Mathematical sciences",2018, 12(1), 35-47.
• Analysis of elliptical porous slider through semi-analytical technique, in "Journal of Advanced research in fluid mechanics and thermal sciences", 2018.
• Semi-analytical approach to heat transfer in squeezing flow between two parallel discs with and without velocity slip and temperature jump in "JMERD",2018,41(1), 51-61.
• Suction and injection effect on the flow between two plates with reference to the casson fluid model, in the "Journal Multidiscipline Model in material and Structures" 2018.
• Analysis of fluid flow between two rotating disks, "Journal of Advanced  research in fluid mechanics and thermal sciences"2019, 58(2), pp. 161-172
• Flow of Casson fluid through circular porous bearings, "CFD letters ", 2020, 12(7), pp. 48-56
• Analysis of mhd flow and heat transfer of laminar flow between porous   disks,in "Frontiers in Heat and Mass transfer", 2021, 16, 3. 
• Analysis of MHD Flow and Heat Transfer of Casson fluid Flow Between  Porous Disks, 2"Journal of Advanced Research in fluid mechanics and Thermal  Sciences"2021, 83(1), pp. 46-60.
•  Analysis of Casson flow through parallel and uniform porous walls of different Permeability in "IAENG Journal of Applied Mathematics ", 2023, 50(1).
• Heat transfer analysis of MHD Casson fluid flow between two porous plates with   Different permeability, Frontiers in Heat and mass transfer 2023,50,1.
• HEAT TRANSFER ANALYSIS OF MHD CASSON FLUID FLOW  BETWEEN TWO POROUS PLATES WITH DIFFERENT  PERMEABILITY, Frontiers in Heat and Mass  Transfer, 2023, 20, 30
• RADIATION EFFECT ON MHD CASSON FLUID FLOW  BETWEEN PARALLEL PLATES OF DIFFERENTPERMEABILITY   Global and Stochastic Analysis., 2023, 10(2), pp. 135-149.
•  ANALYSIS OF CASSON FLUID FLOW BETWEEN TWO POROUS  DISKS WITH STRETCHING MOTION A MASS TRANSPIRATION  Global and Stochastic Analysis, 2023, 10(2), pp. 61-70. 
•  Analysis of Casson Flow Through Parallel and Uniformly Porous Walls  of Different Permeability IAENG International Journal of Applied Mathematics., 2023, 53(1),        
• Analysis of MHD and Heat Transfer Characteristics of Thermally   Radiative Upper-Convected Maxwell Fluid Flow between Moving Plates: Semi-Analytical and Numerical Solution, CFD Letters, 2024, 16(4), pp. 39-53.
• Analysis of Magnetic Effect on UCM Fluid Flow between a Stationary and a Moving Plate,Engineering Letters, 2024, 32(4), pp. 792-799
• Radiation Effect on Heat Transfer Analysis of MHD Flow of Upper Convected Maxwell Fluid between a Porous and a Moving Plate,Frontiers in Heat and Mass transfer, 2024, 22(2), pp. 655-673
• Analysis of fow and heat transfer characteristics of ethylene glycol‑based magnetite nanoparticles squeezed between parallel disks with magnetic efect in  Journal of Thermal Analysis and Calorimetry (2024)                                      https://doi.org/10.1007/s10973-024-13481-1

• Funded Projects Carried out   in MAHE Manipal     :   01
• No. of Books Published by MAHE, MANIPAL with details:  03                                    Basic Mathematics for UG students                                                                Statistics   for UG students                                                                        Mathematics - for UG students

• Non- linear Differential Equations

• Funded Projects Carried out   in MAHE Manipal     :   01
• No. of Books Published by MAHE, MANIPAL with details:  03                                    Basic Mathematics for UG students                                                                Statistics   for UG students                                                                        Mathematics - for UG students

• Non- linear Differential Equations

• Funded Projects Carried out   in MAHE Manipal     :   01
• No. of Books Published by MAHE, MANIPAL with details:  03                                    Basic Mathematics for UG students                                                                Statistics   for UG students                                                                        Mathematics - for UG students

• Teaching / administrative  :  ( From 1.8.1987)  37 years in the Dept of Mathematics,    ( Professor from  5.9. 2001).
• Research                           :  MIT, MAHE, Manipal.   Collaborative Work with  I.I.T.Delhi and    I.I.Sc.Bangalore. 
• Teaching Experience :  Subjects Taught at Under Graduate Level   :All semesters (                                            Engg.Maths)                                                                                                                 Post Graduate Level           : M.Tech and M.Sc (Applied                                                                 Mathematics & Computing)  MIT, MAHE, Manipal

• Computer extended series for squeezing flow between two plates in "Fluid Dynamics Research (Japan) 16, (1995), P173-187.
• Computer extended series solution to the viscous flow between rotating discs in "Proc, Indian Academy of sciences". Vol. 05, No: 3, Aug.1995 P: 353-369.
• Computer extended series solution for unsteady flows in "Proc. of National conference" , Dharwad, 1995, vol.1, p30-40.
• A semi-analytic approach to stagnant point flow between porous plates with mass transfer in "Indian Journal of Pure and Applied Mathematics. (Journal of Indian National Science Academy) 1995 26(4) 373-389.
• Series solution for unsteady flow in a contracting or expanding pipe in I.M.A. Journal of Applied Mathematics (U.K., Oxford press) 1998, 60 p: 151-165.
• Dirichlet series solution of problems arising in boundary layer theory in Journal of Mathematical and Computer Modeling, (U.S.A) Pergman Press, 1999, 57,P:178-195.
• Analytic continuation of series solution representing flow between plates, in Indian Journal of Pure & Applied Mathematics in May, 2007, 587 - 598. 
• Electohydronamic Kelvin - Helmhoilz Instability in a Fluid Layer Bounded Above by a Porous Layer and below a rigid surface.in Int Journal of Tech Sci U S A, 2011, 2,281-288.
• Semi Numerical solution of Boundary value problems in "American Journal of computational Mathematics", USA, 2013,3,43-47.
• A Semi-analytical approach to coupled boundary value problem in "American Journal of computational Mathematics", 2014, 4,311-316,.
• A semi-numerical solution to problem of flow between two discs in "British Journal of Mathematics and computer science", 2015,10(5), 1-7.
• Dirichlet series solution approach to coupled equations arising in boundary in boundary value problems,in "International Journal of pure and applied Mathematics", 2016,9(2), 265-272.
• A semi-numerical approach to unsteady squeezing flow of casson fluid between parallel plates, in "Malaysian Journal of Mathematical sciences",2018, 12(1), 35-47.
• Analysis of elliptical porous slider through semi-analytical technique, in "Journal of Advanced research in fluid mechanics and thermal sciences", 2018.
• Semi-analytical approach to heat transfer in squeezing flow between two parallel discs with and without velocity slip and temperature jump in "JMERD",2018,41(1), 51-61.
• Suction and injection effect on the flow between two plates with reference to the casson fluid model, in the "Journal Multidiscipline Model in material and Structures" 2018.
• Analysis of fluid flow between two rotating disks, "Journal of Advanced  research in fluid mechanics and thermal sciences"2019, 58(2), pp. 161-172
• Flow of Casson fluid through circular porous bearings, "CFD letters ", 2020, 12(7), pp. 48-56
• Analysis of mhd flow and heat transfer of laminar flow between porous   disks,in "Frontiers in Heat and Mass transfer", 2021, 16, 3. 
• Analysis of MHD Flow and Heat Transfer of Casson fluid Flow Between  Porous Disks, 2"Journal of Advanced Research in fluid mechanics and Thermal  Sciences"2021, 83(1), pp. 46-60.
•  Analysis of Casson flow through parallel and uniform porous walls of different Permeability in "IAENG Journal of Applied Mathematics ", 2023, 50(1).
• Heat transfer analysis of MHD Casson fluid flow between two porous plates with   Different permeability, Frontiers in Heat and mass transfer 2023,50,1.
• HEAT TRANSFER ANALYSIS OF MHD CASSON FLUID FLOW  BETWEEN TWO POROUS PLATES WITH DIFFERENT  PERMEABILITY, Frontiers in Heat and Mass  Transfer, 2023, 20, 30
• RADIATION EFFECT ON MHD CASSON FLUID FLOW  BETWEEN PARALLEL PLATES OF DIFFERENTPERMEABILITY   Global and Stochastic Analysis., 2023, 10(2), pp. 135-149.
•  ANALYSIS OF CASSON FLUID FLOW BETWEEN TWO POROUS  DISKS WITH STRETCHING MOTION A MASS TRANSPIRATION  Global and Stochastic Analysis, 2023, 10(2), pp. 61-70. 
•  Analysis of Casson Flow Through Parallel and Uniformly Porous Walls  of Different Permeability IAENG International Journal of Applied Mathematics., 2023, 53(1),        
• Analysis of MHD and Heat Transfer Characteristics of Thermally   Radiative Upper-Convected Maxwell Fluid Flow between Moving Plates: Semi-Analytical and Numerical Solution, CFD Letters, 2024, 16(4), pp. 39-53.
• Analysis of Magnetic Effect on UCM Fluid Flow between a Stationary and a Moving Plate,Engineering Letters, 2024, 32(4), pp. 792-799
• Radiation Effect on Heat Transfer Analysis of MHD Flow of Upper Convected Maxwell Fluid between a Porous and a Moving Plate,Frontiers in Heat and Mass transfer, 2024, 22(2), pp. 655-673
• Analysis of fow and heat transfer characteristics of ethylene glycol‑based magnetite nanoparticles squeezed between parallel disks with magnetic efect in  Journal of Thermal Analysis and Calorimetry (2024)                                      https://doi.org/10.1007/s10973-024-13481-1

• Teaching / administrative  :  ( From 1.8.1987)  37 years in the Dept of Mathematics,    ( Professor from  5.9. 2001).
• Research                           :  MIT, MAHE, Manipal.   Collaborative Work with  I.I.T.Delhi and    I.I.Sc.Bangalore. 
• Teaching Experience :  Subjects Taught at Under Graduate Level   :All semesters (                                            Engg.Maths)                                                                                                                 Post Graduate Level           : M.Tech and M.Sc (Applied                                                                 Mathematics & Computing)  MIT, MAHE, Manipal

• Computer extended series for squeezing flow between two plates in "Fluid Dynamics Research (Japan) 16, (1995), P173-187.
• Computer extended series solution to the viscous flow between rotating discs in "Proc, Indian Academy of sciences". Vol. 05, No: 3, Aug.1995 P: 353-369.
• Computer extended series solution for unsteady flows in "Proc. of National conference" , Dharwad, 1995, vol.1, p30-40.
• A semi-analytic approach to stagnant point flow between porous plates with mass transfer in "Indian Journal of Pure and Applied Mathematics. (Journal of Indian National Science Academy) 1995 26(4) 373-389.
• Series solution for unsteady flow in a contracting or expanding pipe in I.M.A. Journal of Applied Mathematics (U.K., Oxford press) 1998, 60 p: 151-165.
• Dirichlet series solution of problems arising in boundary layer theory in Journal of Mathematical and Computer Modeling, (U.S.A) Pergman Press, 1999, 57,P:178-195.
• Analytic continuation of series solution representing flow between plates, in Indian Journal of Pure & Applied Mathematics in May, 2007, 587 - 598. 
• Electohydronamic Kelvin - Helmhoilz Instability in a Fluid Layer Bounded Above by a Porous Layer and below a rigid surface.in Int Journal of Tech Sci U S A, 2011, 2,281-288.
• Semi Numerical solution of Boundary value problems in "American Journal of computational Mathematics", USA, 2013,3,43-47.
• A Semi-analytical approach to coupled boundary value problem in "American Journal of computational Mathematics", 2014, 4,311-316,.
• A semi-numerical solution to problem of flow between two discs in "British Journal of Mathematics and computer science", 2015,10(5), 1-7.
• Dirichlet series solution approach to coupled equations arising in boundary in boundary value problems,in "International Journal of pure and applied Mathematics", 2016,9(2), 265-272.
• A semi-numerical approach to unsteady squeezing flow of casson fluid between parallel plates, in "Malaysian Journal of Mathematical sciences",2018, 12(1), 35-47.
• Analysis of elliptical porous slider through semi-analytical technique, in "Journal of Advanced research in fluid mechanics and thermal sciences", 2018.
• Semi-analytical approach to heat transfer in squeezing flow between two parallel discs with and without velocity slip and temperature jump in "JMERD",2018,41(1), 51-61.
• Suction and injection effect on the flow between two plates with reference to the casson fluid model, in the "Journal Multidiscipline Model in material and Structures" 2018.
• Analysis of fluid flow between two rotating disks, "Journal of Advanced  research in fluid mechanics and thermal sciences"2019, 58(2), pp. 161-172
• Flow of Casson fluid through circular porous bearings, "CFD letters ", 2020, 12(7), pp. 48-56
• Analysis of mhd flow and heat transfer of laminar flow between porous   disks,in "Frontiers in Heat and Mass transfer", 2021, 16, 3. 
• Analysis of MHD Flow and Heat Transfer of Casson fluid Flow Between  Porous Disks, 2"Journal of Advanced Research in fluid mechanics and Thermal  Sciences"2021, 83(1), pp. 46-60.
•  Analysis of Casson flow through parallel and uniform porous walls of different Permeability in "IAENG Journal of Applied Mathematics ", 2023, 50(1).
• Heat transfer analysis of MHD Casson fluid flow between two porous plates with   Different permeability, Frontiers in Heat and mass transfer 2023,50,1.
• HEAT TRANSFER ANALYSIS OF MHD CASSON FLUID FLOW  BETWEEN TWO POROUS PLATES WITH DIFFERENT  PERMEABILITY, Frontiers in Heat and Mass  Transfer, 2023, 20, 30
• RADIATION EFFECT ON MHD CASSON FLUID FLOW  BETWEEN PARALLEL PLATES OF DIFFERENTPERMEABILITY   Global and Stochastic Analysis., 2023, 10(2), pp. 135-149.
•  ANALYSIS OF CASSON FLUID FLOW BETWEEN TWO POROUS  DISKS WITH STRETCHING MOTION A MASS TRANSPIRATION  Global and Stochastic Analysis, 2023, 10(2), pp. 61-70. 
•  Analysis of Casson Flow Through Parallel and Uniformly Porous Walls  of Different Permeability IAENG International Journal of Applied Mathematics., 2023, 53(1),        
• Analysis of MHD and Heat Transfer Characteristics of Thermally   Radiative Upper-Convected Maxwell Fluid Flow between Moving Plates: Semi-Analytical and Numerical Solution, CFD Letters, 2024, 16(4), pp. 39-53.
• Analysis of Magnetic Effect on UCM Fluid Flow between a Stationary and a Moving Plate,Engineering Letters, 2024, 32(4), pp. 792-799
• Radiation Effect on Heat Transfer Analysis of MHD Flow of Upper Convected Maxwell Fluid between a Porous and a Moving Plate,Frontiers in Heat and Mass transfer, 2024, 22(2), pp. 655-673
• Analysis of fow and heat transfer characteristics of ethylene glycol‑based magnetite nanoparticles squeezed between parallel disks with magnetic efect in  Journal of Thermal Analysis and Calorimetry (2024)                                      https://doi.org/10.1007/s10973-024-13481-1

• Teaching / administrative  :  ( From 1.8.1987)  37 years in the Dept of Mathematics,    ( Professor from  5.9. 2001).
• Research                           :  MIT, MAHE, Manipal.   Collaborative Work with  I.I.T.Delhi and    I.I.Sc.Bangalore. 
• Teaching Experience :  Subjects Taught at Under Graduate Level   :All semesters (                                            Engg.Maths)                                                                                                                 Post Graduate Level           : M.Tech and M.Sc (Applied                                                                 Mathematics & Computing)  MIT, MAHE, Manipal

• Computer extended series for squeezing flow between two plates in "Fluid Dynamics Research (Japan) 16, (1995), P173-187.
• Computer extended series solution to the viscous flow between rotating discs in "Proc, Indian Academy of sciences". Vol. 05, No: 3, Aug.1995 P: 353-369.
• Computer extended series solution for unsteady flows in "Proc. of National conference" , Dharwad, 1995, vol.1, p30-40.
• A semi-analytic approach to stagnant point flow between porous plates with mass transfer in "Indian Journal of Pure and Applied Mathematics. (Journal of Indian National Science Academy) 1995 26(4) 373-389.
• Series solution for unsteady flow in a contracting or expanding pipe in I.M.A. Journal of Applied Mathematics (U.K., Oxford press) 1998, 60 p: 151-165.
• Dirichlet series solution of problems arising in boundary layer theory in Journal of Mathematical and Computer Modeling, (U.S.A) Pergman Press, 1999, 57,P:178-195.
• Analytic continuation of series solution representing flow between plates, in Indian Journal of Pure & Applied Mathematics in May, 2007, 587 - 598. 
• Electohydronamic Kelvin - Helmhoilz Instability in a Fluid Layer Bounded Above by a Porous Layer and below a rigid surface.in Int Journal of Tech Sci U S A, 2011, 2,281-288.
• Semi Numerical solution of Boundary value problems in "American Journal of computational Mathematics", USA, 2013,3,43-47.
• A Semi-analytical approach to coupled boundary value problem in "American Journal of computational Mathematics", 2014, 4,311-316,.
• A semi-numerical solution to problem of flow between two discs in "British Journal of Mathematics and computer science", 2015,10(5), 1-7.
• Dirichlet series solution approach to coupled equations arising in boundary in boundary value problems,in "International Journal of pure and applied Mathematics", 2016,9(2), 265-272.
• A semi-numerical approach to unsteady squeezing flow of casson fluid between parallel plates, in "Malaysian Journal of Mathematical sciences",2018, 12(1), 35-47.
• Analysis of elliptical porous slider through semi-analytical technique, in "Journal of Advanced research in fluid mechanics and thermal sciences", 2018.
• Semi-analytical approach to heat transfer in squeezing flow between two parallel discs with and without velocity slip and temperature jump in "JMERD",2018,41(1), 51-61.
• Suction and injection effect on the flow between two plates with reference to the casson fluid model, in the "Journal Multidiscipline Model in material and Structures" 2018.
• Analysis of fluid flow between two rotating disks, "Journal of Advanced  research in fluid mechanics and thermal sciences"2019, 58(2), pp. 161-172
• Flow of Casson fluid through circular porous bearings, "CFD letters ", 2020, 12(7), pp. 48-56
• Analysis of mhd flow and heat transfer of laminar flow between porous   disks,in "Frontiers in Heat and Mass transfer", 2021, 16, 3. 
• Analysis of MHD Flow and Heat Transfer of Casson fluid Flow Between  Porous Disks, 2"Journal of Advanced Research in fluid mechanics and Thermal  Sciences"2021, 83(1), pp. 46-60.
•  Analysis of Casson flow through parallel and uniform porous walls of different Permeability in "IAENG Journal of Applied Mathematics ", 2023, 50(1).
• Heat transfer analysis of MHD Casson fluid flow between two porous plates with   Different permeability, Frontiers in Heat and mass transfer 2023,50,1.
• HEAT TRANSFER ANALYSIS OF MHD CASSON FLUID FLOW  BETWEEN TWO POROUS PLATES WITH DIFFERENT  PERMEABILITY, Frontiers in Heat and Mass  Transfer, 2023, 20, 30
• RADIATION EFFECT ON MHD CASSON FLUID FLOW  BETWEEN PARALLEL PLATES OF DIFFERENTPERMEABILITY   Global and Stochastic Analysis., 2023, 10(2), pp. 135-149.
•  ANALYSIS OF CASSON FLUID FLOW BETWEEN TWO POROUS  DISKS WITH STRETCHING MOTION A MASS TRANSPIRATION  Global and Stochastic Analysis, 2023, 10(2), pp. 61-70. 
•  Analysis of Casson Flow Through Parallel and Uniformly Porous Walls  of Different Permeability IAENG International Journal of Applied Mathematics., 2023, 53(1),        
• Analysis of MHD and Heat Transfer Characteristics of Thermally   Radiative Upper-Convected Maxwell Fluid Flow between Moving Plates: Semi-Analytical and Numerical Solution, CFD Letters, 2024, 16(4), pp. 39-53.
• Analysis of Magnetic Effect on UCM Fluid Flow between a Stationary and a Moving Plate,Engineering Letters, 2024, 32(4), pp. 792-799
• Radiation Effect on Heat Transfer Analysis of MHD Flow of Upper Convected Maxwell Fluid between a Porous and a Moving Plate,Frontiers in Heat and Mass transfer, 2024, 22(2), pp. 655-673
• Analysis of fow and heat transfer characteristics of ethylene glycol‑based magnetite nanoparticles squeezed between parallel disks with magnetic efect in  Journal of Thermal Analysis and Calorimetry (2024)                                      https://doi.org/10.1007/s10973-024-13481-1

• Teaching / administrative  :  ( From 1.8.1987)  37 years in the Dept of Mathematics,    ( Professor from  5.9. 2001).
• Research                           :  MIT, MAHE, Manipal.   Collaborative Work with  I.I.T.Delhi and    I.I.Sc.Bangalore. 
• Teaching Experience :  Subjects Taught at Under Graduate Level   :All semesters (                                            Engg.Maths)                                                                                                                 Post Graduate Level           : M.Tech and M.Sc (Applied                                                                 Mathematics & Computing)  MIT, MAHE, Manipal

• Computer extended series for squeezing flow between two plates in "Fluid Dynamics Research (Japan) 16, (1995), P173-187.
• Computer extended series solution to the viscous flow between rotating discs in "Proc, Indian Academy of sciences". Vol. 05, No: 3, Aug.1995 P: 353-369.
• Computer extended series solution for unsteady flows in "Proc. of National conference" , Dharwad, 1995, vol.1, p30-40.
• A semi-analytic approach to stagnant point flow between porous plates with mass transfer in "Indian Journal of Pure and Applied Mathematics. (Journal of Indian National Science Academy) 1995 26(4) 373-389.
• Series solution for unsteady flow in a contracting or expanding pipe in I.M.A. Journal of Applied Mathematics (U.K., Oxford press) 1998, 60 p: 151-165.
• Dirichlet series solution of problems arising in boundary layer theory in Journal of Mathematical and Computer Modeling, (U.S.A) Pergman Press, 1999, 57,P:178-195.
• Analytic continuation of series solution representing flow between plates, in Indian Journal of Pure & Applied Mathematics in May, 2007, 587 - 598. 
• Electohydronamic Kelvin - Helmhoilz Instability in a Fluid Layer Bounded Above by a Porous Layer and below a rigid surface.in Int Journal of Tech Sci U S A, 2011, 2,281-288.
• Semi Numerical solution of Boundary value problems in "American Journal of computational Mathematics", USA, 2013,3,43-47.
• A Semi-analytical approach to coupled boundary value problem in "American Journal of computational Mathematics", 2014, 4,311-316,.
• A semi-numerical solution to problem of flow between two discs in "British Journal of Mathematics and computer science", 2015,10(5), 1-7.
• Dirichlet series solution approach to coupled equations arising in boundary in boundary value problems,in "International Journal of pure and applied Mathematics", 2016,9(2), 265-272.
• A semi-numerical approach to unsteady squeezing flow of casson fluid between parallel plates, in "Malaysian Journal of Mathematical sciences",2018, 12(1), 35-47.
• Analysis of elliptical porous slider through semi-analytical technique, in "Journal of Advanced research in fluid mechanics and thermal sciences", 2018.
• Semi-analytical approach to heat transfer in squeezing flow between two parallel discs with and without velocity slip and temperature jump in "JMERD",2018,41(1), 51-61.
• Suction and injection effect on the flow between two plates with reference to the casson fluid model, in the "Journal Multidiscipline Model in material and Structures" 2018.
• Analysis of fluid flow between two rotating disks, "Journal of Advanced  research in fluid mechanics and thermal sciences"2019, 58(2), pp. 161-172
• Flow of Casson fluid through circular porous bearings, "CFD letters ", 2020, 12(7), pp. 48-56
• Analysis of mhd flow and heat transfer of laminar flow between porous   disks,in "Frontiers in Heat and Mass transfer", 2021, 16, 3. 
• Analysis of MHD Flow and Heat Transfer of Casson fluid Flow Between  Porous Disks, 2"Journal of Advanced Research in fluid mechanics and Thermal  Sciences"2021, 83(1), pp. 46-60.
•  Analysis of Casson flow through parallel and uniform porous walls of different Permeability in "IAENG Journal of Applied Mathematics ", 2023, 50(1).
• Heat transfer analysis of MHD Casson fluid flow between two porous plates with   Different permeability, Frontiers in Heat and mass transfer 2023,50,1.
• HEAT TRANSFER ANALYSIS OF MHD CASSON FLUID FLOW  BETWEEN TWO POROUS PLATES WITH DIFFERENT  PERMEABILITY, Frontiers in Heat and Mass  Transfer, 2023, 20, 30
• RADIATION EFFECT ON MHD CASSON FLUID FLOW  BETWEEN PARALLEL PLATES OF DIFFERENTPERMEABILITY   Global and Stochastic Analysis., 2023, 10(2), pp. 135-149.
•  ANALYSIS OF CASSON FLUID FLOW BETWEEN TWO POROUS  DISKS WITH STRETCHING MOTION A MASS TRANSPIRATION  Global and Stochastic Analysis, 2023, 10(2), pp. 61-70. 
•  Analysis of Casson Flow Through Parallel and Uniformly Porous Walls  of Different Permeability IAENG International Journal of Applied Mathematics., 2023, 53(1),        
• Analysis of MHD and Heat Transfer Characteristics of Thermally   Radiative Upper-Convected Maxwell Fluid Flow between Moving Plates: Semi-Analytical and Numerical Solution, CFD Letters, 2024, 16(4), pp. 39-53.
• Analysis of Magnetic Effect on UCM Fluid Flow between a Stationary and a Moving Plate,Engineering Letters, 2024, 32(4), pp. 792-799
• Radiation Effect on Heat Transfer Analysis of MHD Flow of Upper Convected Maxwell Fluid between a Porous and a Moving Plate,Frontiers in Heat and Mass transfer, 2024, 22(2), pp. 655-673
• Analysis of fow and heat transfer characteristics of ethylene glycol‑based magnetite nanoparticles squeezed between parallel disks with magnetic efect in  Journal of Thermal Analysis and Calorimetry (2024)                                      https://doi.org/10.1007/s10973-024-13481-1