On the Flow and Heat Transfer Analysis of Pipe Conveying Johnson-Segalman Fluid: Analytical Solution and Parametric Studies

Abstract

In this study, Galerkin’s method of weighted residual is used to present simple approximate analytical solutions to flow and heat transfer characteristics in a pipe conveying Johnson-Segalman fluid. The developed approximate analytical solutions are verified with the results in literature. Thereafter, the solutions are used to investigate the effects of the pertinent parameters such as relaxation time parameter, viscosity parameter and Brinkman number on the fluid velocity and the temperature distributions of the pipe flow. From the results, it shows that the fluid velocity and temperature increase with the relaxation time parameter and Brinkman number. It is also established that relaxation time parameter increases with increase in the velocity of the fluid but decreases with increase in the fluid temperature. It is found that the relaxation parameter effect on the velocity distribution are not significant as the viscosity parameter approaches unity and when it is greater than unity. It is hope that the study will provide more physical insight into the flow phenomena.