Dr. Sanjay B. Kulkarni

@famt.ac.in

Professor in Applied Mathematics Department of First Year Engineering
Hope Foundation's Finolex Academy of Management and Technology, Ratnagiri

Dr. Sanjay B. Kulkarni


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https://researchid.co/sanjaykulkarni
Dr. Sanjay Baburao Kulkarni obtained his MSc (Applied Mathematics) and PGDCA, both from the Gulbarga University, Gulbarga in 1995 and 1996 respectively, and Ph.D. from Dr. Babasaheb Ambedkar Technological University, Lonere, in 2010. Currently, he is the Professor of Applied Mathematics at Finolex Academy of Management and Technology, Ratnagiri. He has published 30+ research papers in national and international journals and a book on elastico-viscous fluid flows. He has attended 20+ conferences. His area of interest includes applied mathematics, elastico-viscous fluid flow problems, and operation research, etc.,

EDUCATION

Educational Qualifications: M.SC., P.G.D.C.A., Ph.D.

1.) M.Sc. (Mathematics) First Class from Gulbarga University Gulbarga.

2.) Post Graduate Diploma in Computer Applications (P.G.D.C.A.) First Class from Gulbarga University Gulbarga.

3.) Ph.D. from Dr. Babasaheb Ambedkar Technological University, Lonere.

RESEARCH, TEACHING, or OTHER INTERESTS

Computational Mathematics, Mathematics, Applied Mathematics, Control and Optimization
6

Scopus Publications

67

Scholar Citations

5

Scholar h-index

3

Scholar i10-index

Scopus Publications

  • Unsteady MHD flow of elastico-viscous incompressible fluid through a porous medium between two parallel plates under the influence of a magnetic field
    S. B. Kulkarni
    Defence Science Journal, 2015
    An unsteady flow of elastico-viscous incompressible and electrically conducting fluid through a porous medium between two parallel plates under the influence of transverse magnetic field is examined. Initially, the flow is generated by a constant pressure gradient parallel to the bounding fluids. After attaining the steady state, the pressure gradient is suddenly withdrawn and the resulting fluid motion between the parallel plates under the influence of magnetic field is then to be investigated. The problem is solved in two stages: the first stage is a steady motion between the parallel plates under the influence of a constant pressure gradient and the magnetic parameter. The momentum equation of steady state does not involve the elastic-viscosity parameter; however, the influence Darcian friction would appear in it. The solution of the momentum equation at this stage will be the initial condition for the subsequent flow. The second stage concerns with an unsteady motion for which the initial value for the velocity will be that obtained in stage one together with the no-slip condition on the boundary plates. The problem was solved employing Laplace transformation technique. It was found that the effect of the applied transverse magnetic field has significant contribution on the velocity profiles. Defence Science Journal, Vol. 65, No. 2, March 2015, pp.119-125, DOI:http://dx.doi.org/10.14429/dsj.65.7958
  • Unsteady poiseuille flow of second-order fluid in a tube of elliptical cross section on a porous boundary
    Sanjay Kulkarni
    Special Topics and Reviews in Porous Media, 2014
    The exact solution of an unsteady flow of elastico-viscous fluid through a porous media in a tube of elliptical cross section under the influence of a constant pressure gradient has been obtained in this paper. Initially, the flow is generated by a constant pressure gradient. After attaining steady state, the pressure gradient is suddenly withdrawn and the resulting fluid motion in the tube of elliptical cross section is investigated by taking into account the porosity factor of the bounding surface. The problem is solved in two stages. The first stage is the steady motion in the tube under the influence of the constant pressure gradient and the second stage is concerned with unsteady motion. The problem is solved by employing the separation of variables technique. The results are expressed in terms of the non-dimensional porosity (K) and elastico-viscosity (β) parameters, which depend on the non-Newtonian coefficient. The flow parameters are found to be identical with that of the Newtonian case as β → 0 and K →∞. It is seen that the effects of elastico-viscosity (β) and porosity (K) parameters of the bounding surface have a significant effect on the velocity parameter.
  • Flow of an elastico-viscous fluid past an infinite plate with variable suction
    Defence Science Journal, 2007
  • Exact solutions of an incompressible fluid flow of second order by forced oscillations on the porous boundary
    Ch. V. Ramana Murthy, S.B. Kulkarni, B.B. Singh
    Defence Science Journal, 2007
    Exact solution of an incompressible fluid of second-order type by causing forced oscillationsin the liquid of finite depth bounded by a porous bottom has been obtained. The results presentedare in terms of nondimensional elastico-viscosity parameter () which depends on the non-Newtonian coefficient and the frequency of excitation () of the external disturbance whileconsidering the porosity (K) of the medium. The flow parameters are found to be identical withthat of Newtonian case as and K. It is seen that the effect of and the porosityof the bounding surface has significant effect on the velocity parameter. Further, the nature ofthe paths of the fluid particles have also been studied with reference to and the porosity ofthe bounding surface.
  • On the class of exact solutions of an incompressible second-order fluid flow by creating sinusoidal disturbances
    Ch. V. Ramana Murthy, S.B. Kulkarni
    Defence Science Journal, 2006
    Exact solution of an incompressible fluid of second-order by causing disturbances in the liquid, which is initially at rest due to bottom oscillating sinusoidally, has been obtained in this study. The results presented are in terms of nondimensional elasticoviscosity parameter ( ) which depends on the non-Newtonian coefficient and the frequency of excitation of the external disturbance while considering the porosity (K) of the medium. The flow parameters are found to be identical with that of Newtonian case as 0 and K .
  • Unsteady laminar flow of visco-elastic fluid of second order type between two parallel plates
    Indian Journal of Engineering and Materials Sciences, 2005

RECENT SCHOLAR PUBLICATIONS

  • The Analysis of the Value of π by Simulation Approach and Non – Parametric Statistical Testing Hypothesis
    SK Sanjay B Kulkarni
    International Journal of Applied Computational Mathematics, 201 - 211 , 2025
    2025
  • The Study of the Value of π Probability Sampling by Testing Hypothesis and Experimentally
    SK Sanjay B Kulkarni
    Journal of Computers, Mechanical and Management 3 (1), 22 - 29 , 2024
    2024
    Citations: 2
  • EXACT SOLUTIONS OF AN MHD LAYER ELASTIC O VISCOUS FLUID FLOW OF SECOND ORDER TYPE WITH ANGLE OF INCLINATION ON THE POROUS BOUNDARY
    SB Kulkarni
    International Journal of Advances in Engineering Research 23, 32 , 2022
    2022
  • Design and Implementation of Microcontroller based Low Cost Control and Data Acquisition System for Electric Drives
    SS Kulkarni, JJ Mane, SB Kulkarni
    i-Manager's Journal on Instrumentation & Control Engineering 7 (2), 26 , 2019
    2019
  • Forced Oscillations of Electrically Conducting Fluid with Angle of Inclination on the Porous Boundary
    SSK S B Kulkarni
    INTERNATIONAL JOURNAL OF RESEARCH IN ELECTRONICS AND COMPUTER ENGINEERING 6 … , 2018
    2018
  • Effect of Frequency of Excitation and Angle of Inclination on MHD Flow of Elastic-Viscous Fluid Creating Sinusoidal Disturbances on the Porous Boundary
    SB Kulkarni
    2017
  • Unsteady MHD elastico-viscous fluid flow of second order type in a tube of hyperbolic cross section on the porous boundary
    SB Kulkarni
    2016
  • On the class of exact solutions of MHD fluid flow of second order type by creating forced oscillations on the porous boundary
    GSK S. B. Kulkarni, G. G. Bhide
    International Journal of Recent Advances in Engineering & Technology 4 (8 … , 2016
    2016
  • FLOW OF AN ELASTICO-VISCOUS FLUID PAST AN INFINITE PLATE WITH VARIABLE SUCTION UNDER THE INFLUENCE OF MAGNETIC FIELD
    SB Kulkarni
    Journal of Innovative Research and Development 1 (2), 84 - 95 , 2016
    2016
  • Forced Oscillations of Electrical Conducting Fluid Under the Influence of Applied Magnetic Field on the Porous Boundary
    SB Kulkarni
    American Journal of Software Engineering and Applications 5 (5), 33-39 , 2016
    2016
  • Unsteady mhd flow of elastico-viscous incompressible fluid through a porous medium between two parallel plates under the influence of a magnetic field
    SB Kulkarni
    Defence Science Journal 65 (2), 119-125 , 2015
    2015
    Citations: 15
  • Effect of Mass Flow Rate on Unsteady Fluid Flow in a Tube of Hyperbolic Cross Section
    SB Kulkarni
    Journal of Innovative Research and Development 1 (1), 8 - 15 , 2015
    2015
  • UNSTEADY MHD FLOW OF AN INCOMPREESIBLE ELASTICO-VISCOUS FLUID IN A TUBE OF SPHERICAL CROSS SECTION WITH ANGLE OF INCLINATION ON A POROUS BOUNDARY
    SB Kulkarni
    International Journal of Latest Research in Science and Technology 4 (6), 1 - 7 , 2015
    2015
  • On the Class of Exact Solutions of MHD Layer Fluid Flow of Second Order Type by Creating Sinusoidal Disturbances on the Porous Boundary
    SB Kulkarni
    J Appl Computat Math 4 (246), 2 , 2015
    2015
    Citations: 1
  • Unsteady poiseuille flow of an incompressible viscous fluid in a tube of spherical cross section on a porous boundary
    SB Kulkarni
    International Journal of Mechanical Aero Space Industrial and Mechatronics … , 2015
    2015
    Citations: 9
  • Unsteady flow of an incompressible viscous electrically conducting fluid in tub of elliptical cross section under the influence of magnetic field
    SB Kulkarni
    International Journal of Mathematical, Computational, Physical and Quantum … , 2014
    2014
    Citations: 9
  • UNSTEADY POISEUILLE FLOW OF SECOND-ORDER FLUID IN A TUBE OF ELLIPTICAL CROSS SECTION ON A POROUS BOUNDARY
    S Kulkarni
    Special Topics & Reviews in Porous Media: An International Journal 5 (3) , 2014
    2014
    Citations: 11
  • Flow of an Elastico-viscous Fluid Past an Infinite Platewith Variable Suction
    CVR Murthy, SB Kulkarni, BB Singh
    Defence Science Journal 57 (4), 403-410 , 2007
    2007
  • Exact Solutions of an Incompressible Fluid Flow of Second Order byForced Oscillations on the Porous Boundary
    CVR Murthy, SB Kulkarni, BB Singh
    Defence Science Journal 57 (2), 197-209 , 2007
    2007
    Citations: 1
  • On the class of exact solutions of an incompressible second-order fluid flow by creating sinusoidal disturbances
    CVR Murthy, SB Kulkarni
    Defence Science Journal 56 (5), 733-741 , 2006
    2006
    Citations: 18

MOST CITED SCHOLAR PUBLICATIONS

  • On the class of exact solutions of an incompressible second-order fluid flow by creating sinusoidal disturbances
    CVR Murthy, SB Kulkarni
    Defence Science Journal 56 (5), 733-741 , 2006
    2006
    Citations: 18
  • Unsteady mhd flow of elastico-viscous incompressible fluid through a porous medium between two parallel plates under the influence of a magnetic field
    SB Kulkarni
    Defence Science Journal 65 (2), 119-125 , 2015
    2015
    Citations: 15
  • UNSTEADY POISEUILLE FLOW OF SECOND-ORDER FLUID IN A TUBE OF ELLIPTICAL CROSS SECTION ON A POROUS BOUNDARY
    S Kulkarni
    Special Topics & Reviews in Porous Media: An International Journal 5 (3) , 2014
    2014
    Citations: 11
  • Unsteady poiseuille flow of an incompressible viscous fluid in a tube of spherical cross section on a porous boundary
    SB Kulkarni
    International Journal of Mechanical Aero Space Industrial and Mechatronics … , 2015
    2015
    Citations: 9
  • Unsteady flow of an incompressible viscous electrically conducting fluid in tub of elliptical cross section under the influence of magnetic field
    SB Kulkarni
    International Journal of Mathematical, Computational, Physical and Quantum … , 2014
    2014
    Citations: 9
  • The Study of the Value of π Probability Sampling by Testing Hypothesis and Experimentally
    SK Sanjay B Kulkarni
    Journal of Computers, Mechanical and Management 3 (1), 22 - 29 , 2024
    2024
    Citations: 2
  • On the Class of Exact Solutions of MHD Layer Fluid Flow of Second Order Type by Creating Sinusoidal Disturbances on the Porous Boundary
    SB Kulkarni
    J Appl Computat Math 4 (246), 2 , 2015
    2015
    Citations: 1
  • Exact Solutions of an Incompressible Fluid Flow of Second Order byForced Oscillations on the Porous Boundary
    CVR Murthy, SB Kulkarni, BB Singh
    Defence Science Journal 57 (2), 197-209 , 2007
    2007
    Citations: 1
  • Unsteady laminar flow of visco-elastic fluid of second order type between two parallel plates
    EAA UU
    Indian journal of engineering & materials sciences 12, 51-57 , 2005
    2005
    Citations: 1
  • The Analysis of the Value of π by Simulation Approach and Non – Parametric Statistical Testing Hypothesis
    SK Sanjay B Kulkarni
    International Journal of Applied Computational Mathematics, 201 - 211 , 2025
    2025
  • EXACT SOLUTIONS OF AN MHD LAYER ELASTIC O VISCOUS FLUID FLOW OF SECOND ORDER TYPE WITH ANGLE OF INCLINATION ON THE POROUS BOUNDARY
    SB Kulkarni
    International Journal of Advances in Engineering Research 23, 32 , 2022
    2022
  • Design and Implementation of Microcontroller based Low Cost Control and Data Acquisition System for Electric Drives
    SS Kulkarni, JJ Mane, SB Kulkarni
    i-Manager's Journal on Instrumentation & Control Engineering 7 (2), 26 , 2019
    2019
  • Forced Oscillations of Electrically Conducting Fluid with Angle of Inclination on the Porous Boundary
    SSK S B Kulkarni
    INTERNATIONAL JOURNAL OF RESEARCH IN ELECTRONICS AND COMPUTER ENGINEERING 6 … , 2018
    2018
  • Effect of Frequency of Excitation and Angle of Inclination on MHD Flow of Elastic-Viscous Fluid Creating Sinusoidal Disturbances on the Porous Boundary
    SB Kulkarni
    2017
  • Unsteady MHD elastico-viscous fluid flow of second order type in a tube of hyperbolic cross section on the porous boundary
    SB Kulkarni
    2016
  • On the class of exact solutions of MHD fluid flow of second order type by creating forced oscillations on the porous boundary
    GSK S. B. Kulkarni, G. G. Bhide
    International Journal of Recent Advances in Engineering & Technology 4 (8 … , 2016
    2016
  • FLOW OF AN ELASTICO-VISCOUS FLUID PAST AN INFINITE PLATE WITH VARIABLE SUCTION UNDER THE INFLUENCE OF MAGNETIC FIELD
    SB Kulkarni
    Journal of Innovative Research and Development 1 (2), 84 - 95 , 2016
    2016
  • Forced Oscillations of Electrical Conducting Fluid Under the Influence of Applied Magnetic Field on the Porous Boundary
    SB Kulkarni
    American Journal of Software Engineering and Applications 5 (5), 33-39 , 2016
    2016
  • Effect of Mass Flow Rate on Unsteady Fluid Flow in a Tube of Hyperbolic Cross Section
    SB Kulkarni
    Journal of Innovative Research and Development 1 (1), 8 - 15 , 2015
    2015
  • UNSTEADY MHD FLOW OF AN INCOMPREESIBLE ELASTICO-VISCOUS FLUID IN A TUBE OF SPHERICAL CROSS SECTION WITH ANGLE OF INCLINATION ON A POROUS BOUNDARY
    SB Kulkarni
    International Journal of Latest Research in Science and Technology 4 (6), 1 - 7 , 2015
    2015