Dr. Anil Kumar – Assistant Professor | SR University

Dr. Anil Kumar

Assistant Professor • Department of Computer Science & Artificial Intelligence

PhD from

National Institute of Technology Warangal

Years of Experience

3 Years

Web Pages

Contact Details

anilkumar@sru.edu.in

Availability

Mon- Fri, Room n. 8203

I am Dr. Anil Kumar, currently serving as an Assistant Professor at SR University, Warangal. I earned my Ph.D. in Mathematics from the National Institute of Technology (NIT) Warangal under the supervision of Dr. D. Bhargavi. My doctoral research focused on Fluid Dynamics and Hydrodynamic Stability, with particular emphasis on linear and nonlinear stability analysis, magnetohydrodynamics, and fluid flows through porous media. My academic interests lie in applied mathematics, mathematical modeling, and computational methods. I am passionate about teaching, advancing scientific research, and contributing to the development of innovative mathematical solutions to real-world problems.

Interests

particularly linear and nonlinear stability analysis magnetohydrodynamics and fluid flows through porous media. including Computational Fluid Dynamics Mathematical Modeling Numerical Analysis Artificial Intelligence Machine Learning particularly Engineering Mathematics Differential Equations Numerical Methods Linear Algebra

Research Areas

Fluid Dynamics Porous Medium Heat transfer Artificial Neural Network Hydrodynamic Stability

B.Sc. in Mathematics (Hons)

2017

Banaras Hindu University

M.Sc. in Mathematics and Scientific Computing

2019

NIT Warangal

Ph.D. in Mathematics

2026

NIT Warangal

No work experience added.

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Key Publications

Kumar, A., Bhargavi, D., 2026. Investigation of Casson Fluid's Thermal and Hydrodynamical Linear Stability in an Anisotropic Porous Medium. Journal of Porous Media. DOI: 10.1615/JPorMedia.2026060486 , Q2
Kumar, A., Bhargavi, D., Ragoju, R. and Laroze, D., 2026. Artificial neural network-based stability analysis of magnetoconvective instability in thermally affected inclined porous channel. International Communications in Heat and Mass Transfer, 172, p.110317.DOI: 10.1016/j.icheatmasstransfer.2025.110317, Q1
Kumar, A. and Bhargavi, D., 2026. Stability characteristics of variable-gravity channel flows with partial porous filling: A dual linear–nonlinear study. Chaos, Solitons & Fractals, 202, p.117455. DOI: https://doi.org/10.1016/j.chaos.2025.117455 , Q1
Kumar, A., Bhargavi, D., Mourya, P.K., and Siddheshwar, P.G., 2025. Viscosity dissipation and Brinkman–Bénard convection with thermal anisotropy: stability studies in both linear and nonlinear. The European Physical Journal Plus, 140(9), p.833.DOI: https://doi.org/10.1140/epjp/s13360-025-06788-x, Q2
Kumar, A., Bhargavi, D., and Vajravelu, K., 2025. Anisotropic thermal conductivity and Péclet number in the stability analysis of Casson fluid flow in a porous medium channel. Physics of Fluids, 37(2). DOI: https://doi.org/10.1063/5.0256367, Q1
Kumar, A., Bhargavi, D., and Siddheshwar, P.G., 2024. Magnetohydro-convective instability in a saturated Darcy–Brinkman medium with viscous dissipation. The European Physical Journal B, 97(7), p.107.DOI: https://doi.org/10.1140/epjb/s10051-024-00738-9, Q2
Bhargavi, D., Kumar, A., Anantha Lakshmi Narayana, P. and Gupta, N., 2024. An analytical study of fluid flow through a porous filled channel with permeable wall: Suction/injection wall conditions. Journal of Nanofluids, 13(2), pp.371-380. DOI: https://doi.org/10.1166/jon.2024.2151, Scopus
Kumar, A., Bhargavi, D., Magnetic Field-Induced Stability Characteristics in Channel Flow Overlying Anisotropic Porous Media, Journal of Thermal Analysis and Calorimetry (Accepted), Q2
Kumar, A. and Bhargavi, D., Stability Analysis of Magnetoconvection in a Fluid-Porous System with Thermal Effects. In Proceedings of the 12th International Conference on Fluid Flow, Heat and Mass Transfer (FFHMT 2025), July 15, 2025 - July 17, 2025, Imperial College London Conference, London, United Kingdom, Paper No. 175. DOI: 10.11159/ffhmt25.175
Kumar, A. and Bhargavi, D., 2025. Magneto-thermal convection in an inclined porous channel with anisotropic thermal conductivity: A linear stability analysis. In Proceedings of the 28th National and 6th International ISHMT-ASTFE Heat and Mass Transfer Conference December 9-12, 2025, IIT Jodhpur, Karwar-342030, Jodhpur (Rajasthan), India. Begel House Inc. DOI: 10.1615/IHMTC-2025.1390