Jai Prakash Associate Professor Department of Mathematics

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.

  • Education

    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

    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.

  • Awards
    • PBC Post Doctoral Fellowship of Israel, 2012.
    • NBHM Post Doctoral Fellowship (December, 2010).
    • Senior Research Fellowship in Mathematical Sciences from Council of Scientific and Industrial Research (CSIR), India (August 2007-July 2010).
    • Junior Research Fellowship in Mathematical Sciences from Council of Scientific and Industrial Research (CSIR), India (August 2005-July2007).
    • Qualified Graduate Aptitude Test in Engineering (GATE) in Mathematics (2005) AIR-184.
  • Publications
    1. Jai Prakash, G. P. Raja Sekhar, Effective viscosity of a concentrated suspension of composite porous spherical particles, Meccanica, 54, 799-813, (2019).
    2. Jai Prakash, G. P. Raja Sekhar, Slow motion of a porous spherical particle with a rigid core in a spherical fluid cavity, Meccanica, 52, 92-105, (2017).
    3. Olga M. Lavrenteva, Jai Prakash, Avinoam Nir, Effect of added mass on the interaction of bubbles in a low Reynolds number shear flow, Physical Review E, 93, 023105, (2016).
    4. Jai Prakash, Olga M. Lavrenteva, & Avinoam Nir, Application of Clebsch variables to fluid-body interaction in presence of non-uniform vorticity, Physics of Fluids, 26 (2014), 077102.
    5. Jai Prakash, Olga M. Lavrenteva, & Avinoam Nir, Interaction of bubbles in inviscid and low viscosity shear flow, Physical Review E, 88 (2013), 023021.
    6. Jai Prakash, Olga M. Lavrenteva, Leonid Byk, & Avinoam Nir, Interaction of equal size bubbles in shear flow, Physical Review E, 87 (2013), 043002.
    7. Jai Prakash, G. P. Raja Sekhar, Dynamic permeability of an assemblage of soft spherical particles, Mathematical Methods in the Applied Sciences, 36 (2013), 2174-2186.
    8. Jai Prakash, G. P. Raja Sekhar, Estimation of dynamic permeability of an assembly of permeable spherical porous particles using the cell model, Journal of Engineering Mathematics, 80 (2013), 63-73.
    9. Jai Prakash, G. P. Raja Sekhar, Arbitrary oscillatory Stokes flow past a porous sphere using Brinkman model, Meccanica, 47 (2012), 1079-1095.
    10. Jai Prakash, G. P. Raja Sekhar, Mirela Kohr, Fax'en's law for arbitrary oscillatory Stokes flow past a porous sphere, Archives of Mechanics, 64 (2012), 41-63.
    11. Jai Prakash, G. P. Raja Sekhar, Sirshendu De, Convection-diffusion-reaction inside a permeable cylindrical porous pellet under oscillatory flow - the effect of Robin boundary condition, International Journal of Advances in Engineering Sciences and Applied Mathematics, 3(2011), 60-70.
    12. Jai Prakash, G. P. Raja Sekhar, Mirela Kohr, Stokes flow of an assemblage of porous particles -stress jump condition, ZAMP, 62(2011), 1027-1046.
    13. Jai Prakash, G. P. Raja Sekhar, Sirshendu De, Dirichlet problem for convection-diffusion-reaction inside a permeable cylindrical porous pellet, International Journal of Engineering Science, 49 (2011), 606-624.
    14. Jai Prakash, Sirshendu De, G. P. Raja Sekhar, Convection-diffusion-reaction inside a porous sphere under oscillatory flow including external mass transfer, Fluid Dynamics Research, 43 (2011), 015508.
    15. Jai Prakash, G. P. Raja Sekhar, Overall bed permeability for flow through beds of permeable porous particles using effective medium modelstress jump condition, Chemical Engineering Communications, 198 (2011), 85-101.
    16. Jai Prakash, G. P. Raja Sekhar, Sirshendu De, Michael B'ohm, Convection, diffusion and reaction inside a spherical porous pellet in presence of oscillatory flow, European Journal of Mechanics B/ Fluids, 29 (2010), 483-493.
    17. Jai Prakash, G. P. Raja Sekhar, Sirshendu De, Michael B'ohm, A criterion to avoid starvation zones for convection-diffusion-reaction problem inside a porous biological pellet under oscillatory flow, International Journal of Engineering Science, 48 (2010), 693-707.
    18. Mirela Kohr, Jai Prakash, G. P. Raja Sekhar, and Wolfgang L Wendland, Expansions at small Reynolds numbers for the flow past a porous circular cylinder, Applicable Analysis, 88 (2009), 1093-1114.
    19. G. P. Raja Sekhar, Jai Prakash, and Mirela Kohr, Steady and oscillatory analysis of porous catalysts in fluidized beds, PAMM: Proc. Applied Mathematics and Mechanics, 8 (2009), 10613-10614.

    Conference Papers

    1. Jai Prakash, Kamalesh Acharya, and G. P. Raja Sekhar, Reflection theorem for Stokes flow in presence of a partial-slip interface, Proceedings of ISTAM 2011, 175-184.
    2. Jai Prakash, G. P. Raja Sekhar, Motility of a cell in viscous fluid flow, Proceedings of ISTAM 2006, 31-35.
  • Experience
    • July 2019 - Present, Associate Professor - Mahindra École Centrale, Hyderabad.
    • July 2014 - July 2019, Assistant Professor - Mahindra École Centrale, Hyderabad.
    • Oct. 2011- July 2014, Post Doctoral Fellow - Department of Chemical Engineering Technion- Israel Institute of Technology, Israel
    • Jan. 2011- Sep. 2011, NBHM Post Doctoral Fellow Department of Mathematics, IIT Kharagpur
    • Sep. 2010- Nov. 2010, Worked in a CSIR project titled "Singularity methods for Stokes flow in presence of planar interface ".
    • 2006-2009, Teaching Assistant for B.Tech. First Year (5 Semesters)