Unsteady MHD Casson nanofluid transport over an inclined permeable cylinder in an anisotropic porous medium: effects of nonlinear radiation and Joule heating
Résumé
The present study investigates the coupled momentum, thermal, solutal, and magnetic transport characteristics of unsteady induced magnetohydrodynamic (MHD) Casson nanofluid flow over an inclined permeable cylindrical surface embedded in an anisotropic porous medium. The model incorporates several important physical mechanisms, including nonlinear thermal radiation, Joule heating, viscous dissipation, Brownian motion, thermophoresis, and higher-order chemical reaction kinetics. The governing nonlinear partial differential equations describing the conservation of mass, momentum, energy, nanoparticle concentration, and magnetic induction are transformed into a system of nonlinear ordinary differential equations through suitable similarity transformations derived using Lie group analysis. The resulting equations are solved using the semi-analytical homotopy perturbation method (HPM). The influence of key physical parameters on the velocity, temperature, nanoparticle concentration, and magnetic field profiles is analyzed through graphical and tabular results. The results indicate that increasing the magnetic parameter suppresses fluid motion due to the resistive Lorentz force while enhancing the thermal boundary layer thickness. The Casson parameter is found to significantly influence the velocity distribution, reflecting the non-Newtonian characteristics of the fluid. Thermal radiation and viscous dissipation increase the temperature field, whereas Brownian motion and thermophoresis strongly affect nanoparticle concentration profiles. Furthermore, anisotropic porous medium parameters and chemical reaction kinetics play important roles in controlling mass transfer rates. The study provides useful insights into magnetically controlled nanofluid transport in porous cylindrical geometries, which may assist in the design of advanced thermal systems in engineering applications.
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