An Effect of MHD on Non-Newtonian Fluid Flow over a Porous Stretching/Shrinking Sheet with Heat Transfer

The current article explains the 3-D MHD fluid flow under the impact of a magnetic field with an inclined angle. The porous sheet is embedded in the flow of a fluid to yield the better results of the problem. The governing PDEs are mapped using various transformations to convert in the form of ODEs. The yielded ODEs momentum equation is examined analytically to derive the mass transpiration and then it is used in the energy equation and solved exactly by using various controlling parameters. In the case of multiple solutions, the closed-form exact solutions of highly non-linear differential equations of the flow are presented as viscoelastic fluid, which is classified as two classes, namely the second order liquid and Walters' liquid B fluid. The results can be obtained by using graphical arrangements. The current work is utilized in many real-life applications, such as automotive cooling systems, microelectronics, heat exchangers, and so on. At the end of the analysis, we concluded that velocity and mass transpiration was more for Chandrasekhar's number for both the stretching and shrinking case.

Automated summary

The current article focuses on the 3-D MHD fluid flow under a magnetic field with an inclined angle, and proposes the use of a porous sheet to improve the results. By transforming the governing PDEs into ODEs and solving the energy equation with various controlling parameters, the exact solutions of the highly non-linear differential equations for the flow are obtained. These results can be visualized using graphical arrangements and have practical applications in automotive cooling systems, microelectronics, heat exchangers, etc.