Analytical Study of Incompressible MHD Non-Newtonian Fluid In Cylindrical Pipe With Isothermal Wall and Temperature-Dependent Viscosity
Abstract
In this research, analytical study of incompressible MHD non-Newtonian fluid in cylindrical pipe with isothermal wall and temperature-dependent viscosity is examined. The coupled nonlinear momentum and energy equations were solved using the traditional regular perturbation technique. Vogel’s model viscosity is introduced to account for the temperature-dependent viscosity, while the third grade fluid is accommodated to model the non-Newtonian fluid feature. It is observed that the third grade and the magnetic field parameters reduces the velocity profiles and increases the temperature profiles when increased at a steady rate within the constant viscosity index but increases the velocity and the temperature profiles when subjected to the Vogel model. Meanwhile the Eckert parameter is observed to enhance the temperature near the walls of cylindrical pipe.
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