Analysis of Heat Transport in a Powell-Eyring Fluid with Radiation and Joule Heating Effects via a Similarity Transformation

Heat transfer in an Eyring-Powell fluid that conducts electricity and flows past exponentially growing sheet is considered. As the stretched x direction, flow develops region with y > 0. The problem tackled through a set of partial differential equations accounting for Magnetohydrodynamics (MHD), radiation Joule heating effects, which are converted into equivalent ordinary similarity transformation. solved MATLAB framework fourth order accurate integration scheme. It found thermal relaxation period inversely proportional to thickness boundary layer, whereas Eckert-number displays opposite trend. this characteristic number grows, temperature within channel increases.