Study of Casson nanofluid flow over a wedge with variable magnetic effect, thermal radiation, and melting effects

Abstract

In this article, we investigated the flow of a Casson nanofluid on a wedge considering the external effects of magnetic effects, thermal radiation, and melting effects. Also, thermophoretic and Brownian effects were being considered in our study. Similarity transformations were implemented to the governing set of nonlinear PDE’s to obtain coupled nonlinear set of ordinary differential equations. A fourth-order accurate MATLAB bvp4c routine was applied for solving the given boundary value problem. An excellent agreement to previously published results was found, which validates our study. Graphically, the consequences of pertinent parameters on dimensionless velocity, temperature, and nanoparticle concentration have been presented along with streamline visualizations for some of the parameters while the values for local skin friction, heat transfer, and mass transfer rates are presented in a tabular form. An augmentation in melting parameter augments momentum, thermal and concentration boundary layer thickness while skin friction, heat and mass transfer rates report a decrease. Wedge angle parameter, radiation, and Casson nanofluid parameters also enhance fluid velocity though the effects of magnetic field and permeability of the medium shows a reverse trend to their usual behavior.