EFFECT OF VARIABLE FLUID PROPERTIES ON POWELL–EYRING LIQUID FLOW OVER A CURVED SHEET WITH THE CATTANEO–CHRISTOV FLUX MODEL

In this work, we study the flow of an electrically conductive Powell–Eyring liquid over a curved sheet, focusing on its fractal dimension. The analysis includes variable thermal conductivity based on the modified Fourier’s law, with viscosity also handled as a variable. Both viscosity and thermal conductivity are demonstrated as linear functions of fluid temperature. Through approximations, the considered differential equations are simplified, and transformations are performed to convert them into dimensionless ordinary differential equations. These equations are solved via the ND solver. The effects of various parameters are explained through graphs, with heat transfer results and Nusselt numbers displayed in tables. The heat transfer rate increases with increasing Prandtl number. The results of this study are expected to improve understanding in the fields of engineering and technology.