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UNSTEADY MHD CASSON FLUID FLOW AND HEAT TRANSFER WITH SLIP AND THERMAL RADIATION OVER AN EXPONENTIALLY STRETCHING SHEET: A HAM-BASED STUDY
Keywords:
Casson fluid, MHD, slip conditions, thermal radiation, HAM methodDOI:
https://doi.org/10.17654/0973576325047Abstract
We investigate the time-dependent boundary layer flow and heat transfer behavior of a Casson fluid over an exponentially stretching surface embedded in a porous medium. The model integrates essential physical effects, including Joule heating, thermal radiation, velocity and thermal slip conditions, to enhance the physical realism of the system. The governing partial differential equations are transformed into a system of nonlinear ordinary differential equations using appropriate similarity transformations. These transformed equations are then analytically solved using the homotopy analysis method (HAM), which offers series solutions with controllable convergence. A detailed parametric analysis is carried out to explore the influence of magnetic field strength, porous medium permeability, Prandtl number, Eckert number, and thermal radiation on the velocity and temperature distributions. The findings reveal that magnetic effects and porous resistance markedly reduce the fluid velocity, whereas Joule heating and thermal radiation enhance the overall heat transfer process. Furthermore, expressions for the skin friction coefficient and Nusselt number are derived and analyzed. This study offers valuable insights applicable to advanced thermal systems, polymer extrusion, and biomedical fluid engineering involving non-Newtonian fluids.
Received: August 18, 2025
Accepted: November 6, 2025
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