A SEMI-ANALYTICAL APPROACH FOR MAGNETOHYDRODYNAMIC NANOFLUID FLOW OVER A POROUS WEDGE WITH VARIABLE VISCOSITY AND CONVECTIVE BOUNDARY CONDITION
Keywords:
nanofluid, variable viscosity, magnetohydrodynamics, convective boundary condition, differential transform methodDOI:
https://doi.org/10.17654/0973468625010Abstract
This study applies the Adaptive Multi-step Differential Transform Method (AMsDTM) to analyze magnetohydrodynamic (MHD) boundary layer flow and heat transfer of an $\mathrm{Al_2O_3}$-water nanofluid over a porous wedge with variable viscosity under a convective surface boundary condition. Using similarity transformations, the governing nonlinear partial differential equations are reduced to ordinary differential equations, which are then solved approximately through AMsDTM coupled with Newton’s iteration. The effects of the variable viscosity parameter, magnetic field strength, Biot number, buoyancy parameter, nanoparticle volume fraction, and suction parameter on the velocity and temperature profiles are examined in detail. Results are illustrated graphically to demonstrate the influence of these parameters on the flow and thermal fields. A comparison with existing numerical findings shows excellent agreement, confirming the accuracy and robustness of the present method.
Received: August 3, 2025
Accepted: September 16, 2025
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