Thin Film Flow of Non-Newtonian Fluid with Temperature-Dependent Viscosity in Pipe.

Abstract:

The analysis of thin film flow of non-Newtonian fluid with Vogel model viscosity in cylindrical pipe is considered. Vogel model is introduced to account for the temperature-dependent viscosity. Perturbation technique is employed to solve the dimensionless nonlinear momentum and energy equations. Results indicate that increase in the magnetic field parameter increases both the flow velocity and the temperature of the cylinder and a little increase in the Brinkman number greatly increased the temperature of the plate. Results further show that increase in the parameter M, slightly reduced the flow velocity and increase in the parameter B, drastically reduced the velocity of the fluid flow. It is observed that as B increases, the cylindrical wall temperature is greatly lowered which means that particles loose more thermal energy that would hitherto help in overcoming the attractive forces holding them together.