Peristaltic Transport of a Casson Fluid in a Non-uniform Inclined Tube with Rosseland Approximation and Wall Properties

In this article, the peristaltic transport (PT) of Casson fluid (CF) in the presence of mass and heat transfer under the impacts of slip conditions and wall properties in a non-uniform inclined tube has been analyzed. Furthermore, the effects of Dufour and Soret numbers are also considered. The governing two-dimensional equations for the flow of non-Newtonian CF along with the mass and heat transfer are reformulated by the supposition of a long wavelength and a low Reynolds number. Analytic solutions are computed and outcomes are exhibited graphically to analyze the impact of the parameters emerging in the problem. It is shown that the velocity profile is enhanced with a rise in the Casson parameter. The fluid temperature enhances for enhanced values of thermal slip and source/sink parameter. A validity of closed-form results for the velocity of the fluid is made by comparing it with numerical outcomes computed by MATLAB through bvp4c and finite element method.

Automated summary

This article analyzes the peristaltic transport of Casson fluid in a non-uniform inclined tube with mass and heat transfer, considering the impacts of slip conditions and wall properties. The study also takes into account the effects of Dufour and Soret numbers, showing that the velocity profile and fluid temperature are significantly influenced by parameters. The validity of the analytical results for fluid velocity is confirmed through comparison with numerical outcomes from MATLAB.