Dr. Jai Prakash is presently working as an Associate Professor in the Department of Mathematics at Mahindra École Centrale, Hyderabad. He finished his undergraduate studies from Ewing Christian College, Allahabad, India in 2002 and completed Master of Science in Mathematics from Banaras Hindu University, Varanasi in 2004. He earned his Ph.D. from Indian Institute of Technology Kharagpur in the year 2010.
Dr. Prakash's research area is primarily focused in the field of Flow through porous media, Mass transfer in porous media. He has worked on the problems related to Stokes flow and also the convection-diffusion-reaction system inside porous bodies of spherical and cylindrical geometries. He also has experience on dealing with singular problems which requires use of the matched asymptotic expansions. After his Ph.D. Dr. Prakash moved to Technion, Israel for his postdoctoral studies. He spent three years at the Technion. During his stint at Technion he studied motion of bubbles and drops in Shear flow and developed a theory based on experimental observation where mono size bubbles form a nice ring where the bubbles are positioned equidistant. He also studied the bubble dynamics and evolution of the separation between bubbles.
2010 Ph.D. in Mathematics Indian Institute of Technology Kharagpur Kharagpur-721302, India.
Dissertation Topic: Hydrodynamics and Intraparticle Nutrient Transport Inside Porous Pellets.
2004 Master of Science (M.Sc.) in Mathematics, 78.20%, Banaras Hindu University Varanasi-221005, India.
2002 Bachelor of Science (B.Sc.) in Physics and Mathematics, 71.05%, University of Allahabad Allahabad-211002, India.
Research Interests : Fluid Mechanics, Flow Through Porous Media
Current Research : Problems concerning the motion of bubbles and drops in viscous fluid is of great importance in numerous natural and industrial processes. In practical applications of low Reynolds number motion, drops are not isolated. Therefore it is important to determine if the presence of neighboring drops or boundaries significantly affect the migration of a drop. Typical processes of enhanced oil recovery involve the flow of oil in water or water in oil microemulsion in underground oil reserviors. The system of a spherical drop within a spherical cavity can be viewd as an idealized model for oil or water droplets in the rock of the oil containing formation composed of connecting spherical pores. Therefore it is imporatnt to understand the hydrodynamics of particles inside a spherical cavity.
Sponsored Research : Hydrodynamics of Bubbles/ Drops/ Soft Particles in Porous Media- Volume Averaging Approach, Funded by SERb- DST under MATRICS Scheme.