Dr. Prabir Barman

Academic Qualifications

• Ph.D. in Mathematics and Computing, IIT (ISM) Dhanbad, 2022

• M.Sc. in Applied Mathematics, National Institute of Technology, Warangal, 2018

• B.Sc. in Mathematics (Hons.), University of North Bengal, 2016

Professional Experience

• Assistant Professor, ABV-IIITM Gwalior from November 2024 to Present (Teaching & Research)
• Post-doc fellow, IIT Kanpur from April 2023 to November 2024 (Research & Teaching)
• Ad-hoc faculty, NIT Warangal from January 2023 to April 2023 (Teaching)

Teaching Interests and Courses Taught

Modelling and simulation, Modern Cryptography, Complex Analysis, Differential Equation and Integral Transformation

Research Areas and Interests

Dr. Barman's research focuses on solving convective heat transfer problems using advanced computational methods. Additionally, he is pioneering AI-driven approaches for modeling heat transfer and fluid flow. His work aims to bridge the gap between traditional numerical techniques and cutting-edge AI applications, striving to make computational modeling more efficient and accessible.

Doctoral Students and Research Projects

Doctoral Students

1. Prabhat Kumar (Ongoing, Jointly with Dr. Kapil Kant).
2. Debasmita Debnath (Ongoing, under project head).
3. Rashi Tripathi (Ongoing).

Ongoing Research projects

• Micro-organism Physics Driven Neural Networks (MOPD-NNs) for Thermo-bioconvection in Porous Cavities, Sponsored by ANRF, Principal Investigator, From 2025-2028,  Amount: 33.5₹ Lakhs
• Discontinuous Galerkin Investigations of Natural Convection in a Porous Cavity, Sponsored by ABV-IIITM Gwalior (FIG), Principal Investigator, From 2025-2027, Amount:  9.0₹ Lakhs 

Outreach and Extension Activities

Outreach and Extension Activities:

1. Workshop on Physics-Driven Machine Learning for Fluid Dynamics with Special Reference to Weather Prediction (PDMF-WP 2025), sponsored by ANRF, during May 02-06, 2025, ABV IIITM Gwalior.

Invited Talks:

1. Delivered an invited talk on “Basics of the Finite Element Method and computational technique” at One-Day Workshop on “Recent Trends in Mathematical Research (RTMR-2025), Organized by the Department of Engineering Sciences, ABV-IIITM Gwalior (07/05/2025).

Journal Publications

1. Rahul, A. K., Barman, P.*, and Rao, P. S. (2026). Parametric physics informed neural networks with nonlinear factor parameterization for non-Newtonian lubrication. Tribology International, 112513, DOI: doi.org/10.1016/j.triboint.2026.112513.

2. Debnath, D., Sen, R., Kairi, R. R., and Barman, P.* (2026). Physics-informed deep learning modeling of magnetohydrodynamic-driven electroosmotic thermal transport in tangent hyperbolic fluids within a microchannel. Physics of Fluids, 38 (6): 062022, DOI: doi.org/10.1063/5.0320454.

3. Barman, P.*, and Kumar, B. V. R. (2025). FEA of entropy generation due to free convection of hybrid-nanofluid in a partially heated tilted porous enclosure with wavy wall. International Journal of Numerical Methods for Heat & Fluid Flow, DOI: 10.1108/HFF-09-2024-0723.

4. Rao, P. S. and Barman P.* (2024). Natural convection in an open and wavy porous cavity submitted to a partial heat source. International Journal of Applied and Computational Mathematics, 10(5), 153, 2349-5103, DOI: 10.1007/s40819-024-01782-w.

5. Barman, P., Rao, P. S., & Kumar, B. V. R. (2024). Entropy generation in a partially heated hybrid nanofluid saturated wavy porous cavity. International Journal of Numerical Methods for Heat & Fluid Flow, 34(2), 1060-1086, DOI: 10.1108/HFF-08-2023-0457.

6. Barman, P., & Rao, P. S. (2024). Numerical analysis of local thermal nonequilibrium free convection in a porous enclosure with a wavy cold side wall. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 238(1), 372 - 382. DOI: 10.1177/09544089231154363.

7. Barman, P., Rao, P. S., & Chowdhury, S. (2023). Numerical computation of natural convection of nanofluid in an open wavy porous cavity heated partially. Journal of Nanofluids, 12(7), 1773-1781(9), DOI: doi.org/10.1166/jon.2023.2050.

8. Barman, P., & Rao, P. S. (2023). Corrigendum to "Natural convection of nanofluids in a wavy porous cavity". Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. DOI: 10.1177/09544062231173216.

9. Prakash, O., Barman, P., Rao, P. S., & Sharma, R. P. (2023). MHD free convection in a partially open wavy porous cavity filled with nanofluid, Numerical Heat Transfer, Part A: Applications, 84(5), 449-463. DOI: 10.1080/10407782.2022.2132330.

10. Barman, P., & Rao, P. S. (2022). Natural convection of nanofluids in a wavy porous cavity. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 236(7), 3847-3863. DOI: 10.1177/09544062211042652.

11. Barman, P., & Rao, P. S. (2021). Natural convection inside a heat source embedded wavy porous cavity containing an insulated obstacle. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 235(5), 1694-1704. DOI: 10.1177/09544089211016212.

12. Barman, P., & Rao, P. S. (2021). Effect of aspect ratio on natural convection in a wavy porous cavity submitted to a partial heat source. International Communications in Heat and Mass Transfer, 126, 105453. DOI: 10.1016/j.icheatmasstransfer.2021.105453.

13. Rao, P. S., & Barman, P. (2021). Natural convection in a wavy porous cavity subjected to a partial heat source. International Communications in Heat and Mass Transfer, 120, 105007. DOI: 10.1016/j.icheatmasstransfer.2020.105007.