About
Dr. Gomathy G. is an Assistant Professor in the Department of Mathematics, Science & Humanities at PES University, RR Campus. Her research interests lie in applied mathematics, fluid dynamics, thin film flow, porous media, heat and mass transfer, nanofluids, and mathematical modeling. Her doctoral research focused on the modeling and analysis of thin film flow in porous media, employing analytical and numerical techniques to investigate complex transport phenomena. She has published research articles in reputed peer-reviewed journals and continues to work on advanced computational and mathematical models for fluid flow and heat transfer.
Research Areas
1Research Interest
- Fluid Dynamics, Computational Fluid Dynamics, Thin film flow, Heat and Mass transfer, Nanofluids, Nanoparticle Shape Effects and Mathematical Modeling
Publications
10Conferences
- Gomathy G, and B. Rushi Kumar, Soret and Dufour Effects on Thin Film Micropolar Fluid Flow Through Permeable Media, Nonlinear Dynamics and Applications: Proceedings of the ICNDA 2022, Springer, 429-441, 2022
- Gomathy G, A. Sabarmathi, Pankaj Shukla, Creeping Flow of Non-Newtonian Fluid past a Fluid Sphere with Non-Zero Spin Boundary Condition, Advances in Mathematics: Scientific Journal, 9(8), pp.5979-5986, 2020.
Journals
- Gomathy G, B. Rushi Kumar, Ghulam Rasool, Rasan Sarbast Faisal, Faiza Benabdallah, Manish Gupta, M. Ijaz Khan, Impact of nanoparticle shapes and thermodynamics on MHD alumina-water thin film flow over an inclined porous surface, Special Topics & Reviews in Porous Media: An International Journal, 17(1), Pp. 37–55, 2026.
- B. Rushi Kumar, Gomathy, G., Sunitha Nagarathnam, Viswanathan, K. K. Unsteady Thin Film Flow And Heat Transfer In Fe3o4 Nanofluid Over An Inclined Stretching Sheet In A Porous Medium, Numerical Heat Transfer; Part A: Applications, 87(1), 2544909, 2026.
- Gomathy, G., B. Rushi Kumar, Heat And Mass Transfer In Thin Film Flow Of Casson Nanofluid Over An Unsteady Stretching Sheet, Proceedings Of The Institution Of Mechanical Engineers, Part E: Journal Of Process Mechanical Engineering, 239(3), Pp. 1116–1125, 2025.
- Gomathy, G., B. Rushi Kumar, Thin Film Flow Dynamics And Heat Transfer Enhancement In Porous Media: Shape-Dependent Behavior Of Al2O3 Nanoparticles, Numerical Heat Transfer; Part A: Applications, 86(11), Pp. 3774–3791, 2025.
- Gomathy, G., B. Rushi Kumar, Unsteady MHD-Radiative Thin Film Flow With Heat Transfer Over A Stretching Surface In Porous Media, Heat Transfer, 53(8), Pp. 4017–4035, 2024.
- Gomathy, G., B. Rushi Kumar, Thermal Analysis Of MHD Unsteady Darcy-Forchheimer Thin Film Flow In A Porous System, Zamm Zeitschrift Fur Angewandte Mathematik Und Mechanik, 104(10), E202300935, 2024.
- Gomathy, G., B. Rushi Kumar, Impacts Of Nanoparticle Shapes On Ag-Water Nanofluid Thin Film Flow Through A Porous Medium With Thermal Radiation And Ohmic Heating, Journal Of Thermal Analysis And Calorimetry, 149(13), Pp. 6877–6895, 2024.
- Gomathy, G., B. Rushi Kumar, Variable Thermal Conductivity And Viscosity Effects On Thin Film Flow Over An Unsteady Porous Stretching Sheet, Special Topics And Reviews In Porous Media, 14(2), Pp. 77–94, 2023.
Teaching
2Education
4-
Ph.D. in MathematicsVellore Institute of Technology, Vellore2024
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M.Phil in MathematicsAuxilium College (Autonomous), affiliated to Thirvalluvar University2020
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M.Sc. in MathematicsAuxilium College (Autonomous), affiliated to Thirvalluvar University2019
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B.Sc. in MathematicsAuxilium College (Autonomous), affiliated to Thirvalluvar University2017
Experience
3-
Assistant ProfessorPES University2025 – Till date
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Assistant ProfessorChennai Institute of Technology2024 – 2024
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Assistant Professor (Junior)Vellore Institute of Technology, Vellore2021 – 2024
Achievements
1- Received the Raman Research Award (RRA) four times from Vellore Institute of Technology (VIT) for research paper publications during my doctoral studies.
Responsibilities
2- Faculty Advisor
- MATLAB Co-ordinator
Additional Info
1
Life Member of the Indian Mathematical Society (IMS) and the Ramanujan Mathematical Society (RMS)
Campus
RR Campus