Entropy generation analysis in the electro-osmosis-modulated peristaltic flow of Eyring-Powell fluid

In the current paper, numerical study is carried out to investigate the peristaltic propulsion of Eyring-Powell fluid in a vertical symmetric channel with electro-kinetic pumping and transvers Lorentz force. The mass, momentum and energy equations for non-Newtonian fluid are formulated and simplified using suitable transformations and dimensionless variables. The governing equations in dimensionless form are solved numerically by implicit finite difference scheme for stream function and temperature profile in computational software Mathematica 9. The impact of several parameters of interest is analyzed and discussed for both values of Helmholtz-Smoluchowski velocity U-HS and Joule heating parameter through graphs. An entropy generation analysis is also considered and observed for various values of involved parameters. The nonlinear dimensionless equations are also solved by another numerical technique which is built in routine in MATLAB which is commonly known as bvp4c. The results for velocity and temperature are compared by both techniques. The Joule heating parameter also increases the size and number of isothermal bolus. The entropy of the system can be controlled for assisting pumping, i.e., U-HS < 0. The entropy generation decreases with k for U-HS < 0, while increases with k for U-HS > 0.

Automated summary

In this paper, numerical study investigates the peristaltic propulsion of Eyring-Powell fluid in a vertical symmetric channel with electro-kinetic pumping and transvers Lorentz force. Various parameters and their effects are analyzed, and results show that the Joule heating parameter affects the size and number of isothermal bolus. Nonlinear dimensionless equations are solved using the numerical technique bvp4c implemented in MATLAB.