Analytical study of incompressible MHD non-Newtonian fluid in cylindrical pipe with isothermal wall and temperature-dependent viscosity

Abstract

^{In this work, analytical study of incompressible MHD non-Newtonian fluid in cylindrical pipe with isothermal wall and temperature-dependent viscosity was examined. The coupled nonlinear momentum and energy equations were solved using the traditional regular perturbation technique. Vogel’s model viscosity was introduced to account for the temperature-dependent viscosity, while the third grade fluid was accommodated to model the non-Newtonian fluid feature. It was observed that the third grade and the magnetic field parameters reduced the velocity profiles and increased the temperature profiles when increased at a steady rate within the constant viscosity index but increased the velocity and the temperature profiles when subjected to the Vogel model. Meanwhile the Eckert parameter was observed to enhance the temperature near the walls of cylindrical pipe.}