An Improved Residual Power Series Method for Radiative MHD CuO-Water Nanofluid Convection in a Semi-Porous Stretching Channel
Keywords:
MHD nanofluid flow, wall suction, magnetic field, thermal radiation, joule heating, differential transform method.Abstract
This study considers radiative magnetohydrodynamic forced convection of a CuO–water nanofluid in a
semi-porous channel with a stretching wall, with Joule heating included in the energy equation. By applying
suitable similarity transformations, the governing continuity, momentum, and energy equations are reduced
to a coupled system of nonlinear ordinary differential equations. The resulting boundary value problem is
solved using the Improved Residual Power Series Method (IRPSM). The validity of the proposed approach
is confirmed through comparison with available benchmark results, showing close agreement. The effects
of the Reynolds number, Hartmann number, suction parameter, and nanoparticle shape on the velocity and
temperature distributions are examined. The results indicate that the magnetic field suppresses the flow,
suction significantly alters the thermal and momentum boundary layers, and platelet-shaped nanoparticles
yield the highest local Nusselt number among the considered shapes. The study demonstrates that IRPSM is
an effective and accurate semi-analytical tool for this class of nonlinear transport problems.
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