G P Raja Sekhar

Prof. G P Raja Sekhar

  •    Indian Institute of Technology Kharagpur - 721302 (India)
  •    Professor in Department of Mathematics,

       Dean, Faculty of Sciences

  •    rajas @ iitkgp.ac.in
  •    +91 3222 - 283684
  •    +91 3222 - 255303

Specialization

  • PDE Theory and Applications
  • Fluid Mechanics
  • Boundary Integral Methods

Current Area of Research

  • Biphasic mixture theory to deformable porous media
  • Thermocapillary migration of viscous drops
  • Modeling flow through anisotropic porous media
  • Multiphase flows

  • Publications

  • Visits Abroad

  • Workshops / Conferences

  • Research

Publications

Research Publications

89Abyaya Dhar, P S Burada, Raja Sekhar, G. P. , Hydrodynamics of an inertial active droplet, Journal of Fluid Mechanics, Cambridge University Press, 2020
88Tufan Ghosh, Carina Bringedal, Rainer Helmig, Raja Sekhar, G P , Upscaled equations for two-phase flow in highly heterogeneous porous media: varying permeability and porosity, Advances in Water Resources , Elsevier, 2020
87Prakash Kumar, Raja Sekhar, G. P. , Elastohydrodynamics of a deformable porous packing in a channel competing under shear and pressure gradient, Physics of Fluids, American Institute of Physics, 32, 031904:, 2020
86Tufan Ghosh, Raja Sekhar, G. P., D Deb , Non-classical flow modeling of spontaneous imbibition in spatially heterogeneous reservoirs, Computational Geosciences, Springer, 24, 1445 -1461, 2020
85Abyaya Dhar, P S Burada, Raja Sekhar, G. P. , Dynamics of a spherical droplet driven by active slip and stress, International Journal of Multiphase Flow, Elsevier, 127, 103274, 1-13, 2020
84S M Sahoo, T.Raja Sekhar, Raja Sekhar, G. P. , Optimal classification, Exact solutions and Wave interactions of Euler system with large friction, Mathematical Methods in the Applied Sciences, Wiley, 43, 5744 - 5757, 2020
83Tufan Ghosh, Raja Sekhar, G. P. , A note on Mellin-Fourier integral transform technique to solve Stokes' problem analogue to flow through a composite layer of free flow and porous medium, Journal of Mathematical Analysis and Applications, Elsevier, 483, 123578, 1 - 12, 2020
82M Reza, Raja Sekhar, G. P. , Analysis and control of shear flow over a rotating plate in the presence of magnetic field, ZAMM - Journal of Applied Mathematics and Mechanics, Wiley, e201800044, 1-15, 2020
81Prakash Kumar, Raja Sekhar, G. P. , Analysis of elastohydrodynamics and nutrient transport through deformable porous scaffold inside a hollow fibre membrane, Physics of Fluids, American Institute of Physics, 32, 031904: 1- 23, 2020
80Timir Karmakar, M Reza, Raja Sekhar, G. P. , Forced convection in a fluid saturated anisotropic porous channel with isoflux boundaries, Physics of Fluids, American Institute of Physics, 31, 117109: 1 - 12, 2019
79Abyaya Dhar, P S Burada, Raja Sekhar, G. P. , Self-propulsion of a sticky sphere partially covered with a surface slip velocity, Physics of Fluids, American Institute of Physics, 31, 112004: 1-12, 2019
78Tufan Ghosh, Raja Sekhar, G. P., D Deb , Modeling of Co-current Spontaneous Imbibition Oil Recovery from Partially Covered Homogeneous Hydrocarbon Reservoir, Transport in Porous Media, Springer, 130, 947 - 968, 2019
77S M Sahoo, T.Raja Sekhar, Raja Sekhar, G. P. , Exact solutions of generalized Riemann problem for nonhomogeneous shallow water equations, Indian Journal of Pure & Applied Mathematics, Springer, 2019
76Jai Prakash, Raja Sekhar, G. P. , Effective viscosity of a concentrated suspension of composite porous spherical particles, Meccanica, Springer, 54, 799 - 813, 2019
75Chandra Shekhar Nishad, Timir Karmakar, Anirban Chandra, Raja Sekhar, G. P. , A non-primitive boundary integral formulation for modeling flow through composite porous channel, Engineering Analysis with Boundary Elements, Elsevier, 109, 94 - 105, 2019
74Minhajul, Raja Sekhar, T., Raja Sekhar, G. P. , Stability of solutions to the Riemann problem for a thin film model of a perfectly soluble anti-surfactant solution, Communications on Pure and Applied Analysis, American Institute of Mathematical Sciences, 18 (6), 3367 - 3386, 2019
73Tufan Ghosh, Raja Sekhar, G. P., D Deb , Mathematical modeling of co- current spontaneous imbibition in heterogeneous porous medium, European Journal of Mechanics - B Fluids, Elsevier, 76, 81 - 97, 2019
72Meraj Alam, Bibaswan Dey, Raja Sekhar, G. P. , Mathematical modeling and analysis of hydroelastodynamics inside a solid tumor containing deformable tissue, ZAMM - Journal of Applied Mathematics and Mechanics, Wiley, 99, e201800223, 1- 34, 2019
71V Sharanya, Raja Sekhar, G. P., Christian Rohde , Surfactant-induced migration of a spherical droplet in non-isothermal Stokes flow, Physics of Fluids, American Institute of Physics, 31, 012110: 1 - 24, 2019
70S M Sahoo, T.Raja Sekhar, Raja Sekhar, G. P., , Exact solutions of generalized Riemann problem for rate-type material ,, International Journal of Non-linear Mechanics, (Elsevier), 110, 16 - 20, 2019
69V. K. Narla, Dharmendra Tripathi, Raja Sekhar, G. P., , Time-dependent analysis of electroosmotic fluid flow in a microchannel,, Journal of Engineering Mathematics, (Springer), 114, 177–196, 2019
68Meraj Alam, Bibaswan Dey, Raja Sekhar, G. P., , Mathematical analysis of hydrodynamics and tissue deformation inside an isolated solid tumor,, Theoretical and Applied Mechanics Mechanics, (Serbian Society of Mechanics), 45, 253 - 278, 2018
67V Sharanya, Raja Sekhar, G. P., Christian Rohde, , The low surface Péclet number regime for surfactant-laden viscous droplets: Influence of surfactant concentration, interfacial slip effects and cross migration,, International Journal of Multiphase Flow, (Elsevier), 107, 82-103, 2018
66Timir Karmakar, Raja Sekhar, G. P., , Squeeze-film flow between a flat imper- meable bearing and an anisotropic porous bed,, Physics of Fluids, (American Institute of Physics), 30, 043604:1 - 17, 2018
65Bibaswan Dey, Raja Sekhar, G. P., Sourav Kanti Mukhopadhyay, , In-vivo Mimicking model for Solid Tumor towards Hydromechanics of Tissue Deformation and Creation of Necrosis ,, Journal of Biological Physics, (Springer), 44, 361-400, 2018
64B. Bira, T. Raja Sekhar, Raja Sekhar, G. P., , Collision of characteristic shock with weak discontinuity in non-ideal magnetogasdynamics,, Computers and Mathematics with Applications, (Elsevier), 75, 3873-3883, 2018
63Chandra Shekhar Nishad, Anirban Chandra, Timir Karmakar, Raja Sekhar, G. P., , A non-primitive boundary element technique for modeling flow through non-deformable porous medium using Brinkman equation, Meccanica, (Springer), 53, 2333-2352, 2018
62Prakash Kumar, Bibaswan Dey, Raja Sekhar, G. P., , Nutrient transport through deformable cylindrical scaffold inside a bioreactor: An application to tissue engineering ,, International Journal of Engineering Science, (Elsevier), 127, 201- 216, 2018
61Bibaswan Dey, Raja Sekhar, G. P. and Burada, P. S., , Electrophoresis of a soft charged particle in a sparsely packed bed ,, Chemical Engineering Communications, (Taylor-Francis), 205, 991 - 1010, 2018
60Raja Sekhar, G. P., , Tumor growth chemomechanical modeling existence theory ,, The Mathematics Student, (Indian Mathematical Society), 86, 21 - 28, 2017
59Chandra Shekhar Nishad, Anirban Chandra and Raja Sekhar, G. P., , Stokes flow inside topographically patterned microchannel using boundary element method ,, International Journal of Chemical Reactor Engineering, (De Gruyter ), 15, 5: 1-17, 2017
58Timir Karmakar, Raja Sekhar, G. P., , Effect of anisotropic permeability on convective flow through porous tube with viscous dissipation effect ,, Journal of Engineering Mathematics, (Springer), 110, 15- 37, 2017
57Timir Karmakar, Raja Sekhar, G. P., , A note on flow reversal in a wavy channel filled with anisotropic porous material ,, Proceedings of the Royal Society A - Mathematical and Physical Sciences, (The Royal Society Publishing), 473, 20170193: 1 - 18, 2017
56Jai Prakash, Raja Sekhar, G. P., , Slow motion of a porous spherical particle with a rigid core in a spherical fluid cavity,, Meccanica, (Springer), 52, 91 - 105, 2017
55Timir Karmakar, Raja Sekhar, G. P., , Lifting a large object from an anisotropic porous bed ,, Physics of Fluids, (American Institute of Physics), 28, 093601: 1- 22, 2016
54Chandra Shekhar Nishad, Anirban Chandra and Raja Sekhar, G. P., , Flows in slip-patterned micro-channels using boundary element methods ,, Engineering Analysis with Boundary Elements, (Elsevier), 73, 95 - 102, 2016
53V Sharanya, Raja Sekhar, G. P., Christian Rohde, , Bed of polydisperse vis- cous spherical drops under thermocapillary effects ,, ZAMP - Journal of Applied Mathematics and Physics, (Springer), 67, 101: 1 - 17, 2016
52Bibaswan Dey, Raja Sekhar, G. P., , A theoretical study on the elastic deformation of cellular phase and creation of necrosis due to the convection reaction process inside a spherical tumor ,, International Journal of Biomathematics, (World Scientific), 9, 1650095:1 - 34, 2016
51Bibaswan Dey, Raja Sekhar, G. P., , Hydrodynamics and convection enhanced macromolecular fluid transport in soft biological tissues: Application to solid tumor ,, Journal of Theoretical Biology, (Springer), 395, 62 - 86, 2016
50Timir Karmakar, Raja Sekhar, G. P., , Effect of anisotropic permeability on fluid flow through composite porous channels ,, Journal of Engineering Mathematics, (Springer), 100, 33 - 51, 2016
49Bibaswan Dey, Raja Sekhar, G. P., , An analytical study on hydrodynamics of an unsteady flow and mass transfer through a channel asymmetrically lined with deformable porous layer,, European Journal of Mechanics B/Fluids, (Elsevier), 55, 71 - 87, 2015
48Sharanya, V, Raja Sekhar, G. P., , Thermocapillary migration of a spherical drop in an arbitrary transient Stokes flow,, Physics of Fluids, (American Institute of Physics), 27, 06310:1-21, 2015
47Bibaswan Dey, Raja Sekhar, G. P., , Effect of axial vibration of boundary on wall shear stress and mass transfer in medium saturated with homogeneous rigid porous materials,, Journal of Engineering Mathematics, (Springer), 89,51-71, 2014
46Bibaswan Dey, Raja Sekhar, G. P., , Mass transfer and species separation due to oscillatory flow in a Brinkman medium,, International Journal of Engineering Science, (Elsevier), 74, 54-74, 2014
45Choudhuri, D., Raja Sekhar, G. P., , Thermocapillary drift on a spherical drop in a viscous fluid,, Physics of Fluids, (American Institute of Physics), 25, 043104:1-14, 2013
44Jai Prakash, Raja Sekhar, G. P., , Dynamic permeability of an assemblage of soft spherical particles,, Mathematical Methods in the Applied Sciences, (Wiley ), 36, 2174-2186, 2013
43Jai Prakash, Raja Sekhar, G. P., , Estimation of the dynamic permeability of an assembly of permeable spherical porous particles using the cell model, Journal of Engineering Mathematics, (Springer), 80, 63-73, 2013
42Debasis Deb, Kamal C. Das, Raja Sekhar, G. P., , Generalized Symmetric Formulation of Tangential Stiffness for Nonassociative Plasticity,, ASCE Transactions-Journal of Engineering Mechanics, (American Society of Civil Engineers), 139, 105-113, 2013
41Jai Prakash, Raja Sekhar, G. P., , Arbitrary oscillatory Stokes flow past a porous sphere using Brinkman model,, Meccanica, (Springer), 47, 1079-1095, 2012
40Mirela Kohr, Raja Sekhar, G.P., Elena M. Ului, Wolfgang L.Wendland, , Two- dimensional Stokes-Brinkman cell model - a boundary integral formulation,, Applicable Analysis, (Taylor - Francis), 91, 251-275, 2012
39Jai Prakash, Raja Sekhar, G. P., Mirela Kohr, , Faxen’s law for arbitrary oscillatory Stokes flow past a porous sphere,, Archives of Mechanics, (Polish Academy of Sciences), 64, 41-63, 2012
38Jai Prakash, Raja Sekhar, G. P., 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, (Springer), 3, 60-70, 2011
37Jai Prakash, Raja Sekhar, G. P., Mirela Kohr, , Stokes flow of an assemblage of porous particles-stress jump condition,, ZAMP-Journal of Applied Mathematics and Physics, (Springer), 62, 1027-1046, 2011
36Jai Prakash, Sirshendu De, Raja Sekhar, G. P., , Convection-diffusion- reaction inside a spherical porous pellet under oscillatory flow including ex- ternal mass transfer,, Fluid Dynamics Research, (Institute of Physics), 43, 015508-015527, 2011
35Jai Prakash, Raja Sekhar, G. P., Sirshendu De, , Dirichlet problem for convection-diffusion-reaction inside a permeable cylindrical porous pellet ,, International Journal of Engineering Science, (Elsevier), 49, 606-624, 2011
34Jai Prakash, Raja Sekhar, G. P., , Overall bed permeability for flow through beds of permeable porous particles using effective medium model-stress jump condition,, Chemical Engineering Communications, (Taylor - Francis), 198, 85-101, 2011
33Mirela Kohr, Raja Sekhar, G. P., Wolfgang L Wendland,, , Rigorous estimates for the 2D Oseen-Brinkman transmission problem in terms of the Stokes- Brinkman expansion,, Mathematical Methods in the Applied Sciences, (Wiley), 33, 2225-2239, 2010
32Jai Prakash, Raja Sekhar, G. P., Sirshendu De, Michael Bohm,, , Convection- diffusion-reaction inside a spherical porous pellet in the presence of oscillatory flow,, European Journal of Mechanics - B/Fluids, (Elsevier), 29, 483-493, 2010
31Raja Sekhar, G. P., , Effective medium model for flow through beds of porous cylindrical fibers,, Applicable Analysis, (Taylor - Francis), 89, 833-848, 2010
30Jai Prakash, Raja Sekhar, G. P., Sirshendu De, Michael Böhm, , A criterion to avoid starvation zones for convection-diffusion-reaction problem inside a porous biological pellet under oscillatory flow,, International Journal of Engineering Science, (Elsevier), 48, 693-707, 2010
29Anindita Bhattacharyya, Raja Sekhar, G. P, , Potential flow past a slightly deformed porous circular cylinder,, Transport in Porous Media, (Springer), 81, 367-389, 2010
28Jai Prakash, Mirela Kohr, Raja Sekhar, G. P., Wolfgang L Wendland, , Expansions at small Reynolds numbers for the flow past a porous circular cylinder,, Applicable Analysis, (Taylor - Francis), 88, 1093-1114, 2009
27Bhargavi, D., Satyamurty, V. V, Raja Sekhar, G. P., , Effect of interfacial stress jump on skin friction and Heat transfer in flow through a channel partially filled with porous material,, Journal of Porous Media, (Begell House), 12, 1065-1082,, 2009
26Mirela Kohr, Wolfgang L Wendland, Raja Sekhar, G. P, , Boundary integral equations for two-dimensional low Reynolds number flow past a porous body,, Mathematical Methods in the Applied Sciences, (Wiley Interscience), 32,932-962, 2009
25Raja Sekhar, G. P., Jai Prakash, Mirela Kohr, , Steady and oscillatory analysis of porous catalysts in fluidized beds,, PAMM: Proc. Applied Mathematics and Mechanics, (Wiley Interscience), 8, 10613-10614, 2008
24Mirela Kohr, Raja Sekhar, G. P., Wolfgang L Wendland, , Boundary integral equations for a three - dimensional Stokes - Brinkman cell model,, Mathematical Models and Methods in Applied Sciences, (World Scientific), 18, 2055-2085, 2008
23Mirela Kohr, Raja Sekhar, G. P., Wolfgang L Wendland, , Boundary integral method for Stokes flow past a porous body,, Mathematical Methods in the Applied Sciences, (Wiley - Interscience), 31, 1065-1097, 2008
22Mirela Kohr, Raja Sekhar, G. P., John Blake, , Green’s function of the Brinkman equation in a two dimensional anisotropic case,, IMA Journal of Applied Mathematics, (Oxford Univ. Press), 73, 374-392, 2008
21Raja Sekhar, G. P., Anindita Bhattacharyya, , Potential flow past a slightly deformed porous circular cylinder embedded in a porous bed,, Journal of Porous Media, (Begell House), 11, 193-204, 2008
20Mirela Kohr, Raja Sekhar, G. P, , Existence and uniqueness result for the problem of viscous flow in a granular material with a void,, Quarterly of Applied Mathematics, (The American Mathematical Society-Brown University), 65, 683-704,, 2007
19Mirela Kohr, Raja Sekhar, G. P, , Existence and uniqueness result for two - dimensional porous media flows with porous inclusions based on Brinkman equation,, Journal of Engineering Analysis with Boundary Element Methods, (Elsevier), 31, 604-613,, 2007
18Raja Sekhar, G. P., Partha, M. K., Murthy, P. V. S. N, , Viscous flow past a spherical void in porous media - effect of stress jump boundary condition,, Journal of Porous Media, (Begell House), 9, 745-767, 2006
17Partha, M. K., Murthy, P. V. S. N., Raja Sekhar, G. P, , Soret and Dufour effects in a non - Darcy porous medium,, ASME Transcations - Journal of Heat Transfer, (American Society of Mechanical Engineers), 128, 605-610, 2006
16Anindita Bhattacharyya, Raja Sekhar, G. P, , Stokes flow inside a porous spherical shell - stress jump boundary condition,, ZAMP - Journal of Applied Mathematics and Physics, (Springer), 56, 475-496, 2005
15Partha, M. K., Murthy, P. V. S. N., Raja Sekhar, G. P, , Viscous flow past a porous spherical shell effect of a stress jump boundary condition,, ASCE Transactions- Journal of Engineering Mechanics, (American Society of Civil Engineers), 31, 1291-1301, 2005
14Murthy, P. V. S. N., Partha, M. K., Raja Sekhar, G. P, , Mixed convection heat and mass transfer with thermal radiation in a non-Darcy porous medium,, Journal of Porous Media, (Begell House), 8, 541-549, 2005
13Partha, M. K., Murthy, P. V. S. N., Raja Sekhar, G. P, , Effect of viscous dissi- pation on the mixed convection heat transfer from an exponentially stretching surface,, Heat and Mass Transfer, (Springer), 41, 360-366, 2005
12Anindita Bhattacharyya, Raja Sekhar, G. P, , Effect of stress jump condition-viscous flow past a porous sphere with an impermeable core,, Chemical Enineering Science, (Elsevier), 59, 4481-4492, 2004
11Raja Sekhar, G. P., Sano, Osamu, , Two - dimensional viscous flow in a granular material with a void of arbitrary shape,, Physics of Fluids, (American Institute of Physics), 15, 554-567, 2003
10Raja Sekhar, G. P., Sano, Osamu, , Two-dimensional viscous flow past a slightly deformed circular cavity in porous media,, Fluid Dynamics Research, (Elsevier), 28, 281-293, 2001
9Padmavathi, B. S., Raja Sekhar, G. P., S.D.Nigam, Amaranath, T, , Group structure in circle and sphere theorems,, ZAMM - Journal of Applied Mathematics & Mechanics, (Wiley Interscience), 8, 570-575, 2001
8Padmavathi, B. S., Raja Sekhar, G. P., Nigam, S. D., Amaranath, T, , Group structure in circle theorem,, Studies in Applied Mathematics, (Blackwell), 06, 407-417, 2001
7Raja Sekhar, G. P., Sano, Osamu, , Viscous flow past a circular / spherical void in porous media - an application to the measurement of the groundwater velocity through single boring method,, Journal of Physical Society of Japan, (Physical Society of Japan), 69, 2479-2484, 2000
6Raja Sekhar, G. P., Amaranath, T, , Stokes flow inside a porous spherical shell,, ZAMP - Journal of Applied Mathematics and Physics, (Springer), 51, 1-10, 2000
5Padmavathi, B. S., Raja Sekhar, G. P., Amaranath, T, , A note on general solutions of Stokes equations,, Quarterly Journal of Mechanics & Applied Mathematics, (Oxford Journals), 51, 383-388, 1998
4Raja Sekhar, G. P., Padmavathi, B. S., Amaranath, T, , Complete general solutions of the Brinkman equations,, ZAMM - Journal of Applied Mathematics & Mechanics, (Wiley Interscience), 77, 555-556, 1997
3Raja Sekhar, G. P., Nigam, S. D., Amaranath, T, , Dirichlet problem for non- axisymmetric irrotational flows,, Indian Journal of Pure & Applied Mathematics, (INSA, now Springer), 28, 423-427, 1997
2Raja Sekhar, G. P., Amaranath, T, , Stokes flow past a porous sphere with an impermeable core,, Mechanics Research Communications, (Elsevier), 23, 449-460, 1996
1Raja Sekhar, G. P., Tejeswara Rao, K., Padmavathi, B. S., Amaranath, T, , Two-dimensional Stokes flows with slip-stick boundary conditions,, Mechanics Research Communications, (Elsevier), 22, 491-501, 1995

Conference Publications

10Kamal Ch. Das , Debasis Deb , G. P. Raja Sekhar , Analytical Model for Fully Grouted Rock Bolts with Consideration of Rock Joints Movements, Third Indian Rock Conference: INDOROCK-2011, IIT Roorkee, (2011).
9Mirela Kohr, Raja Sekhar, G.P., Wolfgang L Wendland , Boundary integral equations for a three-dimensional Stokes-Brinkman cell model 80th Annual Meeting of International Association of Applied Mathematics and Mechanics (GAMM09), Gdansk University of Technology, Poland, (2009).
8Raja Sekhar, G. P., Jai Prakash, Mirela Kohr , Arbitrary oscillatory Stokes flow past a porous sphere : Faxen’s laws International Congress of Theoretical and Applied Mechanics (ICTAM), Adelaide, Australia, (2008).
7Debasis Deb, G. P. Raja Sekhar, Kamal Ch. Das , Extended Finite Element Method: A Novel Technique for the Analysis of Joints and Fractures, 53rd Congress of ISTAM, Osmania University, India, (2008).
6Raja Sekhar, G. P., Jai Prakash, Mirela Kohr , Steady and oscillatory analysis of porous catalysts in fluidized beds 79th Annual Meeting of International Association of Applied Mathematics and Mechanics (GAMM08), University of Bremen, Germany, (2008).
5Sano, O., Kaneko, Y. and Raja Sekhar, G. P , Collapse, Growth and Merging of Cavity regions in a granular material due to viscous flow International Congress of Theoretical and Applied Mechanics (ICTAM), Warsaw, Poland, (2004).
4Sano, O. and Raja Sekhar, G. P , Collapse of void region and network formation of water in a granular material due to viscous fluid, Asian Congress of Fluid Mechanics, Isfahan, Iran, (2002).
3Raja Sekhar, G. P., Sano, O., Idera, R., and Maki, K , Collapse of a Void and Water-way Formation in a Granular Material due to Viscous Flow, STATPHYS 21, Cancun, Mexico, (2001).
2Raja Sekhar, G. P., and Sano, Osamu, , Fundamental Process of the Self- Organization of Waterway Network in Granular Material Workshop on Complex Fluids, Kyoto University, Kyoto, (2000).
1Raja Sekhar, G. P., and Sano, Osamu , Fundamental Process of the Self- Organization of Waterway Network in Granular Material Workshop on Complex Fluids, Kyoto University, Kyoto, (2000).