Personal Information

Dr. Anand Kumar

Associate Professor and Head
Department of Mathematics

M.Sc. (B.H.U.), Ph.D. (B.H.U.)

anand@curaj.ac.in
  • Fluid Dynamics
  • Magnetohydrodynamics
  • Boundary Layer Theory
  • M.Sc. (B.H.U.)
  • Ph.D. (B.H.U.)
  • Fluid Dynamics
  • Magnetohydrodynamics
  • Boundary Layer Theory
S. No. Authors Title of Article Journal/Conference Details Journal/Conference Publication Year
1 Anupama Singh, Anand Kumar An Analytical Study of Mass Transport in Viscoelastic Fluid Under the Influence of Gravity Modulation International Journal of Applied and Computational Mathematics, Vol. 12, Issue Number 4 Journal 2026
2 Anupama Singh, Anand Kumar, Vinod K. Gupta Insight into effect of internal heating on natural convection of Rivlin–Ericksen fluid with highly permeable porous medium: Dynamical system approach International Journal of Heat and Fluid Flow, Vol. 118, Article Number 110212 Journal 2026
  1.  Anand Kumar and A. K. Singh, Transient Magnetohydrodynamic Couette Flow with Ramped Velocity, International Journal of Fluid Mechanics Research, Vol. 37, pp. 435 - 446, 2010.
  2.  Anand Kumar and A. K. Singh, Transient MHD Natural Convection past a vertical Cone having Ramped Temperature on the Curved Surface, International Journal Energy & Technology, Vol. 3 (34), pp.1 – 6, 2011.
  3.  S. K. Ravi, A. K. Singh and Anand Kumar, Analytical Treatment of Transient Free Convective Flow of Elastico Viscous Fluid between Two Vertical Walls, International Journal Energy & Technology, Vol. 3 (28), pp.1 – 6, 2011.
  4.  Anand Kumar and A. K. Singh, Effect of Induced Magnetic Field on Natural Convection in Vertical Concentric Annuli Heated/Cooled Asymmetrically, Journal of Applied Fluid Mechanics, Vol. 6, pp. 15-26, 2013.
  5.  Anand Kumar and A. K. Singh, Unsteady MHD free convective flow past a semi-infinite vertical wall with induced magnetic field, Applied Mathematics and Computation, Vol. 222, pp. 462-471, 2013.
  6.  Anand Kumar, A.K. Singh, P. Chandran, N.C. Sacheti, Effect of Perpendicular Magnetic Field on Free Convection in a Rectangular Cavity, SQU Journal for Science, Vol. 20, pp. 49-59, 2015.
  7.  Vanita and Anand Kumar, Numerical study of effect of induced magnetic field on transient natural convection over a vertical cone, Alexandria Engineering Journal, Vol. 55, pp. 1211-1223, 2016.
  8.  Vanita and Anand Kumar, Effect of Radial Magnetic Field on Free Convective Flow over Ramped Velocity Moving Vertical Cylinder with Ramped type Temperature and Concentration, Journal of Applied Fluid Mechanics, Vol. 9, pp. 2855-2864, 2016.
  9.  Vanita and Anand Kumar, Effect of radial magnetic field on natural convection flow in alternate conducting vertical concentric annuli with ramped temperature, Engineering Science and Technology, an International Journal, Vol. 19, pp. 1436-1451, 2016.   
  10.  V K Gupta, Anand Kumar, A K Singh, Analytical study of weakly nonlinear mass transfer in rotating fluid layer under time-periodic concentration/gravity modulation, International Journal of Non-Linear Mechanics, Vol. 97, pp. 22-29, 2017.
  11.  Vanita, Anand Kumar, Effect of velocity of applied magnetic field on natural convection over ramped type moving inner cylinder with ramped type temperature, International Journal of Mechanical Sciences, Vol. 131-132, pp. 625-632, 2017.
  12.  Anand Kumar, Vanita and Vinod Gupta, Study of heat and mass transport in Couple-Stress liquid under G-jitter effect, Ain Shams Engineering Journal, Vol. 9, pp. 973-984, 2018.
  13.  O.P. Keshri, Anand Kumar, V.K. Gupta, Magneto-solutal convection in Newtonian fluid layer with solutal modulated boundaries, International Journal of Non-Linear Mechanics, Vol. 107, pp. 86-93, 2018.  https://doi.org/10.1016/j.ijnonlinmec.2018.09.006.
  14.  O.P. Keshri, V.K. Gupta, Anand Kumar, Study of weakly nonlinear mass transport in Newtonian fluid with applied magnetic field under concentration/gravity modulation, Nonlinear Engineering – Modeling and Application, Vol. 8, pp. 513-522, 2019.
  15.  O.P. Keshri, Anand Kumar, V.K. Gupta, Effect of internal heat source on magneto-stationary convection of couple stress fluid under magnetic field modulation, Chinese Journal of Physics, Vol. 57, pp. 105-115, 2019.
  16.  Vanita, Anand Kumar, Study of MHD convection between two rotating cylinders filled with casson fluid and viscous dissipation effect, Heat Transfer-Asian Research, Vol. 48, pp. 1204-1224, 2019.
  17.  N. Dwivedi, A.K. Singh, Anand Kumar, Natural convection between vertical walls due to point/line heat source/sink, International Journal of Applied and Computational Mathematics, Vol. 5, AID75, pp. 1-11, 2019.
  18.  Anand Kumar, V.K. Gupta, N. Meena, I. Hashim, Effect of rotational speed modulation on the weakly nonlinear heat transfer in Walter-B viscoelastic fluid in highly permeable porous medium, Mathematics, Vol. 8, Article ID 1448, pp. 1-14, 2020.
  19.  R. Rajora, Anand Kumar, A numerical study of magneto-double-diffusive-convection of Casson fluid over a vertical cone under nonuniform heating at surface of cone, Heat Transfer-Asian Research, Vol. 50, pp. 2303-2320, 2021. https://doi.org/10.1002/htj.21979.
  20.  Anand Kumar, O.P. Kesari, V.K. Gupta, G-jitter effect on mass transport in electrically conducting Newtonian fluid, Chinese Journal of Physics, Vol. 71, pp. 224-234, 2021. https://doi.org/10.1016/j.cjph.2020.09.001.
  21.  Anand Kumar, I. Hasim, A.K. Singh, V.K. Gupta, N. Saini, Combined effect of internal heating and g-jitter on Walter-B viscoelastic fluid in highly permeable porous media, Journal of Porous Media, Vol. 24(3), pp. 21-33, 2021.
  22.  V.K. Gupta, O.P. Kesari, Anand Kumar, Effect of rotational speed modulation on weakly nonlinear magneto convective heat transfer with temperature-dependent viscosity, Chinese Journal of Physics, Vol. 72, pp. 487-598, 2021.
  23.  A.K. Singh, Anand Kumar, A.K. Singh, Effect of non-uniform heating and viscous dissipation on natural convective flow of Casson fluid over a vertical cone, Indian Journal of Physics, Vol. 96(2), pp. 481-489, 2022. https://doi.org/10.1007/s12648-020-01984-0.
  24.  Anurag, Anand Kumar,  A.K. Singh, Exact Solution for transient natural convective flow through a vertical concentric cylinder filled with porous medium, Journal of Porous Media, Vol. 25(8), pp. 89-104, 2022.
  25.  A. Jakhar, Anand Kumar, Instability analysis of double-diffusive convection under time dependent solute boundary conditions in the presence of internal heat generator, Physics of Fluids, Vol. 35, Article ID: 77101, 2023. https://doi.org/10.1063/5.0155264
  26.  A. Jakhar, Anand Kumar, V. K. Gupta, Study of weakly nonlinear double-diffusive magnetoconvection under concentration modulation, Heat Transfer, Vol. 52, pp. 5500-5519, 2023. doi:10.1002/htj.22939
  27.  A. Jakhar, Anand Kumar, V. K. Gupta, Weakly nonlinear instability analysis of triple diffusive convection under internal heat generator and modulated boundaries, Physics of Fluids, Vol. 35, Article ID: 104105, 2023. https://doi.org/10.1063/5.0169618
  28.  A. Jakhar, Anand Kumar, P. Joshi, Study of weakly nonlinear double-diffusive magnetoconvection with throughflow under concentration modulation, Nonlinear Engineering, Vol. 13, Article ID 20240013, 2024. https://doi.org/10.1515/nleng-2024-0013
  29.  A. Singh, A. Jakhar, Anand Kumar, Effect of modulated boundary on heat and mass transport of Walter-B viscoelastic fluid saturated in porous medium, Nonlinear Engineering, Vol. 13, Article ID 20240014, 2024. https://doi.org/10.1515/nleng-2024-00134.
  30.  V.K. Sukariya, Anurag, A. Jakhar, Anand Kumar, Effect of Hall current generated by radial magnetic field on transient natural convection between vertical annuli, The European Physical Journal Plus, Vol. 139, Article ID 996, 2024. https://doi.org/10.1140/epjp/s13360-024-05786-9.
  31.  A. Singh, V.K. Gupta, Anand Kumar, Chaotic convection in Rivlin-Ericksen fluid flowing through highly permeable porous medium, Physics of Fluids, Vol. 36, Article ID 114117, 2024. https://doi.org/10.1063/5.0231562.
  32.  A. Jakhar, Anurag, Anand Kumar, Weakly nonlinear instability analysis in triple-diffusive convection under gravity modulation in the presence of an internal heat generator, Heat Transfer, Vol. 54, 167-183, 2025, Download The file ( bytes) 23170 Icon .
  33.  A. Jakhar, V.K. Sukariya, S. Kumar, Anand Kumar, Anurag, Study of MHD Williamson fluid flow over a stretched cylinder with Hall, thermal dynamics, and chemical reactions effects, Journal of Thermal Analysis and Calorimetry, Vol. 150, 673-690, 2025, https://doi.org/10.1007/s10973-024-13851-9.
  34.  V.K. Sukariya, A. Jakhar, P. Sharma, Anand Kumar, Numerical exploration of heat source/sink and mixed convection effects on thermally stratified Cu-Al2O3/ H2O hybrid nanofluid flow over a vertical stretching cylinder subjected to a radial magnetic field, ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 105, Article ID e202400963, 2025. https://doi.org/10.1002/zamm.202400963.
  35.  V. K. Sukariya, Anurag, Anand Kumar, Significance of radial magnetic field and Hall current on magnetic nanoparticle-assisted drug delivery and therapeutics in cylindrical vessels with bioconvection effects, Journal of Applied Physics, Vol. 137, Article ID 074703, 2025. https://doi.org/10.1063/5.0252999.  
  36.  P. Singh, V. K. Gupta, Anand Kumar, I. L. Animasaun, T. Muhammad, N. M. Chadha, Significance of modulated gravity on triple‐diffusive convection of liquids through permeable media: Ginzburg–Landau analysis of heat and mass transfer, ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 105 (3), Article ID e202400535, 2025. https://doi.org/10.1002/zamm.202400535 .
  37.  Anurag, V. K. Sukariya, J. Lata, Anand Kumar, A. Jakhar, Effect of hall current and radial magnetic field on MoS 2-SiO 2/H 2 O hybrid nanofluid flow over a vertical stretching cylinder, Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 47(4), Article ID 187, 2025. https://doi.org/10.1007/s40430-025-05504-1
  38.  Anurag, A. Singh, Anand Kumar, A. Jakhar, Investigating the nonlinear behavior of microorganisms in buoyant fluids, Multiscale and Multidisciplinary Modeling, Experiments and Design, Vol. 8(5), Article Number 226, 2025. https://doi.org/10.1007/s41939-025-00825-z .
  39.  R. Rajora and Anand Kumar, Analysis of Hall current and nonuniform heating effects on magneto-convection between vertically aligned plates under the influence of electric and magnetic fields, Nonlinear Engineering, Vol. 14, Article ID 20240083, 2025. https://doi.org/10.1515/nleng-2024-0083 .
  40.  A. Jakhar, Anand Kumar, V. K. Sukariya, Anurag, Study of Heat and Mass Transfer of Transient Free Convection Through Vertical Annuli in Presence of Heat Source, Chemical Reaction, and Newtonian Heating, Heat Transfer, Vol.  54, 2293-2304, 2025. https://doi.org/10.1002/htj.23283
  41.  V. K. Sukariya, Anurag, Anand Kumar, Numerical study of Hall currents induced by radial magnetic fields on free convective flow through asymmetrically heated/cooled vertical annuli, European Journal of Mechanics-B/Fluids, Vol. 113, Article ID 204279, 2025, https://doi.org/10.1016/j.euromechflu.2025.204279
  42.  Anand Kumar, R. Rajora, V. K. Sukariya, A. K. Singh, Effects of nonuniform heating and viscosity variation on transient natural convection around a vertical plate in a porous medium, International Journal of Fluid Engineering, Vol. 2 (4), Article ID 043901, 2025, https://doi.org/10.1063/5.0250473
  43.  V. K. Sukariya, Anurag, Anand Kumar, Deep learning-driven physics-informed neural networks for rotating fluid flow over a vertical cylinder with Hall currents and thermal effects, Physics of Fluids, Vol. 37, Article ID 063613, 2025. https://doi.org/10.1063/5.0275514.
  44.  V. K. Sukariya, Anurag, Anand Kumar, Synergistic thermal and magnetic influences on non-Newtonian hybrid Casson nanoblood flow in arterioles, Applied Physics Letters, Vol. 126 (26), Article ID 263702, 2025. https://doi.org/10.1063/5.0274485.
  45.  A. Jakhar, A. Shukla, V. K. Sukariya, Anand Kumar, Weakly linear/nonlinear analysis of bio-convection dynamics influenced under time-varying concentration modulated gradient, Chinese Journal of Physics, 2025. https://doi.org/10.1016/j.cjph.2025.04.031.
  46.  Anurag, Anand Kumar, A. K. Singh, A. Jakhar, Influence of chemical reaction on transient natural convective flow in an infinite vertical cylinder packed with porous material, Numerical Heat Transfer, Part A: Application, 2024. https://doi.org/10.1080/10407782.2024.2388244.
  47.  A. Singh, Anand Kumar, An Analytical Study of Mass Transport in Viscoelastic Fluid Under the Influence of Gravity Modulation, International Journal of Applied and Computational Mathematics, Vol. 12 (4), 2026. https://doi.org/10.1007/s40819-025-02078-3.
  48.  A. Singh, Anand Kumar, V. K. Gupta, Insight into effect of internal heating on natural convection of Rivlin–Ericksen fluid with highly permeable porous medium: Dynamical system approach, International Journal of Heat and Fluid Flow, Vol. 118, Article Number: 110212, 2026. https://doi.org/10.1016/j.ijheatfluidflow.2025.110212.

Attended

Conference Attended:

  1.  Attended 24th Annual Conference of The Mathematical Society-B.H.U., 30/12/08 to 31/12/08.
  2.  Attended National Conference and Workshop on “High Performance Computing and Applications”, held at B.H.U., 09/02/09 to 11/02/09.
  3.  Attended National Conference on “Analysis and Its Applications”, held at B.H.U., 19/03/09 to 21/03/09.
  4.  Attended International Conference on “Optimization and Its Applications”, held at B.H.U., 16/02/10 to 18/02/10.
  5.  Attended National Workshop on “Research Methodology in Management”, held at Central University of Rajasthan, 14/02/11 to 15/02/11.
  6.  Attended International Symposium on “Game Theory: Teaching and Applications”, held at Central University of Rajasthan, Ajmer, 16/12/2011.

Workshops:

  1.  Attended “Training Program on LATEX and other Open Source Software” held at BHU, 01/04/09 to 09/04/09.
  2.  Attended National Workshop cum Training Programme on “Advanced Numerical Techniques and Applications” held at BHU, 29/06/09 to 11/07/09.
  3.  Attended National Workshop cum Training Programme on “Dynamical System:  Analysis and Applications” held at BHU, 22/10/09 to 31/10/09.
  4.  Attended National Workshop on “Mathematical Models for Bio-fluid flows and applications” held at Sri Venkateswara University Tirupati, A.P., 22/01/10 to 26/01/10.
  5.  Attended National Workshop cum Training Programme on “Recent Trends in Fluid Mechanics” held at BHU, 06/07/10 to 12/07/10.
  6.  Attended Advanced Training School for Lecturers on “Ordinary Differential Equations” held at Maharaja Sayajirao University of Baroda, 02/06/11 to 15/06/11.
  7.  Attended UGC-Sponsored Orientation Programme held at Central University of Rajasthan, 16/12/2013 to 11/01/2014.
  8.  Attended DST-SERC school on “Nonlinear Dynamics”, held at Department of Physics, Central University of Rajasthan, 01/12/2014 to 20/12/2014.
  9.  Attended the workshop on “Mathematical Modelling and Computational Techniques in Nanofluids” during September 21-25, 2015 held at Department of Mathematics, N.I.T. Kurukshetra.
  10.  Attended “Instructional School for Teachers on Analysis and Differential Equations” during December 07-19, 2015 held at TIER-CENTRE FOR APPLICABLE MATHEMATICS, BANGLORE.
  11.  Attended “Five Day Workshop on Teaching-Learning – Evaluation for Faculty Members of HEIs” during August 05-09, 2019 held at Teaching Learning Centre, Central University of Rajasthan.
  12.  Attended “One week TEQIP-III sponsored STC on CFD for solving engineering problems” during August 7-11, 2020 held at Department of Mechanical Engineering, Malaviya National Institute of Technology, Jaipur. 
  13. Attended Virtual International Workshop on “Pandemic and Socio-Economic Determinants: The uses, Mathematics and Computations behind the modeling to inform decision makers” during February 8-12, 2021 held at National Institute of Technology, Uttarakhand.
  14. Attended "Five days teacher's training program on Research Methodology and Ethics in Research Publications" during July 29, 2024 to August 02, 2024 held at Central University of Rajasthan. 

Invited Talks/Paper Presented:

  1.  Presented a paper in national Conference on “Mathematical Modeling and Simulation” at Jiwaji University Gwalior, 09/01/09 to 11/01/09.
  2.  Presented a paper in Silver Jubilee Conference of the Mathematical Society- B.H.U., Mathematical Modeling of Real Life Problems, 22/12/09 to 24/12/09
  3.  Presented a paper in 26th Annual Conference of the Mathematical Society- B.H.U., Recent Trends in Analysis and Modeling, 28/11/10 to 29/11/10.
  4.  Presented a paper in 27th Annual Conference of the Mathematical Society- B.H.U., 26/11/11 to 27/11/11.
  5.   Presented a paper in 28th Annual Conference of the Mathematical Society- B.H.U., 02/12/12 to 03/12/12.
  6.  Presented a paper in 30th Annual Conference of the Mathematical Society- B.H.U., on “Mathematical Analysis and Applications” during 30/01/15 to 31/01/15 on the topic Effect of radial magnetic field on natural convective flow in vertical conducting concentric annuli heated/cooled asymmetrically.
  7.  Invited Talk in International workshop on “Optimization, Computing and Business Analysis for Sustainable Development” during February 20-22, 2015 held at Department of Mathematics, Central University of Rajasthan” on the topic How to solve parabolic PDE by MATLAB.
  8.  Presented a paper in 31st Annual Conference of the Mathematical Society- B.H.U., on “Mathematical and Statistical Techniques and their Application to Science and Engineering.” During 20/11/15 to 21/11/15 on the topic Effect of perpendicular magnetic field on free convection in a square cavity.
  9.  Delivered a lecture in the one week National Workshop on “Mathematical Modelling and Simulation” during 14/03/2016 to 18/03/2016 at Central University of Rajasthan.
  10.  Presented a paper in 32nd Annual Conference of the Mathematical Society- B.H.U., on “Recent trends in mathematical analysis and its applications” During 17/02/2017 to 18/02/2017 on the topic Numerical study of effect of induced magnetic field on transient natural convection over a vertical cone.
  11.  Invited Talk in Workshop on “Celestial Mechanics and Dynamical Astronomy” during January 07-11, 2019 held at Department of Mathematics, Central University of Rajasthan” on the topic Stability of Autonomous System and Bifurcation.
  12.  Invited Talk in National Conference on “Recent Trends in Mathematics with Applications” during February 21-22, 2019 held at Shri Ramswaroop Memorial University, Lucknow on the topic Autonomous Systems and Stability. 
  13. Invited Talk in Interbational Conference on "Advances in Mathematical Science" during March 19-20, 2024 held at Department of Mathematics, MGCU, Champaran, Bhihar on Effect of velocity of applied magnetic field on natural convection over ramped type moving inner cylinder with ramped type temperature.
  14. Invited Talk in five days national workshop on "Mathematical Modelling and Analysis in Solid and Fluid Mechanics" during March 03-07, 2025 held at Department of Mathematics, MGCU, Champaran, Bhihar on A Study of BVP4C and PDEPE Methods for Solving Boundary Value Problems.
  15. Invited Talk in one week short term training program under Continuing Education Cell  on "Knowledge Discovery through Mathematics Modeling, Rough Sets, and Machine Learning" during November 17-21, 2025 held at Department of Mathematics, Natitonal Institute of Technology Raipur, on significance of radial magnetic field and Hall current on magnetic nanoparticale-assisted drug devivery with bioconvection effects.
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