Numerical calculation of thermally radiative fluid flow with the energy and mass transmission across a stretching wavy surface

The current study revealed a comprehensive assessment of three-dimensional Jeffery fluid flow under the significances of thermal radiation and magnetohydrodynamics (MHD) across a stretching irregular permeable sheet. The flow phenomena have been studied with an additional effect of Darcy media, Arrhenius activation energy, slip conditions, heat source, and chemical reaction. The modeled have been expressed in the form of system of nonlinear partial differential equations (PDEs), which are degraded and dimensionalized by the similarity replacement to the set of ordinary differential equations (ODEs). The Matlab package bvp4c (boundary value solver) is employed to estimate the numerical solution of the problems. The influence of several physical factor on velocity, mass, and energy outlines is revealed through tables and figures. It is perceived that the Jeffery fluid motion drops with the growing values of porosity term, while amplified with the rising influence of wall thickness factor. The rising values of Darcy-Forchheimer and magnetic field factor diminish the velocity curve in both x and y directions. Furthermore, the temperature curve intensifies with the addition of porosity factor and Deborah number while lessening with the rising influence of power index.

Automated summary

This study provides a comprehensive assessment of three-dimensional Jeffery fluid flow under the significances of thermal radiation and magnetohydrodynamics. The results revealed that the motion of the Jeffery fluid decreases with increasing porosity term but increases with the rising influence of wall thickness factor. The velocity curve decreases in both x and y directions with the increasing values of Darcy-Forchheimer and magnetic field factors. Furthermore, the temperature curve intensifies with the addition of porosity factor and Deborah number, while lessens with the rising influence of power index.