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Vijñāna Parishad of India

Jñānābha‎, Vol. 56 (1) (2026), (159-169)

HALL CURRENT AND VISCOUS DISSIPATION ON MHD NATURAL CONVECTION FLOW WITH THERMAL STRATIFICATION


By

Nidhi Pandya and Shikha Rawat 

Department of Mathematics and Astronomy, University of Lucknow, Lucknow, Uttar Pradesh, India-226007 

Email: dr.nidh23@gmail.com, rawatshikha05@gmail.com 

(Received: March 25, 2025; In format: May 07, 2026; Revised: June 08, 2026; Accepted: June 27, 2026) 


DOI: https://doi.org/10.58250/jnanabha.2026.56116



Abstract


The study’s unsteady MHD free convective flow traverses a porous material that is influenced by thermal radiation, heat absorption, the hall effect and thermal stratification as it passes over a vertically inclined temperature-varying flat plate. The governing equations are transformed into a dimensionless form by applying the appropriate transformation and solved by using CrankNicolson method, numerically. The graphical results have been achieved using Mathematica. The results demonstrate that radiation and heat absorption have a significant effect on the velocity and temperature profiles on thermally stratified fluid. 


2020 Mathematical Sciences Classification: 76W05, 76D10, 76S05, 80A20, 65M06. 

Keywords and Phrases: MHD, Thermally stratification, Viscous dissipation, Hall current, Crank-Nicolson method.

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