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 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
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
S. B. Kulkarni
Defence Scientific Information and Documentation Centre
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 After attaining the steady state, the pressure gradient is suddenly withdrawn and the resulting fluid motion between the parallel plates under the influence of magnetic field is then to be investigated.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
Sanjay Kulkarni
Begell House
Ch. V. Ramana Murthy, S.B. Kulkarni, and B.B. Singh
Defence Scientific Information and Documentation Centre
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.
Ch. V. Ramana Murthy and S.B. Kulkarni
Defence Scientific Information and Documentation Centre
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 .