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EFFECTS OF RADIATION AND HEAT GENERATION ON MHD CASSON FLUID FLOWING IN A POROUS MEDIUM ROTATING ON AN INCLINED OSCILLATING VERTICAL PLATE
Keywords:
MHD Casson fluid, porous medium, radiation effects, heat generation, inclined vertical plate, oscillating boundaryDOI:
https://doi.org/10.17654/0973576325016Abstract
A mathematical model of the unstable natural convective magnetohydrodynamic boundary layer flow of Casson fluid near an inclined oscillating perpendicular plate in a rotating porous medium has been studied. The field is uniformly transverse. The study incorporates heat production, absorption, and thermal emission and aims to accurately solve the prevailing non-dimensional partial differential equations using the Laplace transform method. The analysis focuses on key parameters like the magnetic field heat absorption $(Q)$, permeability $(K)$, Prandtl number $(P_r$), Schmidt number $(S_c)$, thermal radiation $(R)$, Casson fluid parameter, Grashof numbers $(G_r and G_c)$, permeation time $(t)$, and porous medium parameter $(K)$. These attributes encompass the influence of quickness, thermal conditions, and concentration profiles. An increase in the Casson fluid parameter and other Grashof parameters results in elevated velocity values. Regarding the magnetic field characteristic, a reversal in the trend has been noted. Results would ideally be optimally configured for application specific needs such as oil recovery and industrial cooling. It can be sensible to work with complex geometries, non-linear effects, and transient behavior to arrive at simulations that more accurately reflect real-life scenarios in these applications.
Received: September 29, 2024
Revised: January 28, 2025
Accepted: April 10, 2025
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