Explicit Solutions of MHD Flow and Heat Transfer of Casson Fluid over an Exponentially Shrinking Sheet with Suction

In this study, the magnetohydrodynamic (MHD) flow and heat transfer of a Casson fluid over an exponentially shrinking sheet with suction is investigated using the homotopy analysis method (HAM). Different from previous numerical methods and analytical techniques, we have obtained an explicit formula solution to the presented nonlinear problem. The explicit solutions of f (eta) and theta(eta) are obtained and are valid in the whole domain. The changes in velocity and temperature profiles are studied in cases of different Casson fluid parameter gamma, magnetic interaction parameter M, suction parameter s, and Prandtl number Pr. The convergent solutions are verified by comparison with the numerical results. In addition, the skin friction coefficient C-f and local Nusselt number Nu(x) are analyzed using the analytic formulas of f ''(0) and theta'(0), respectively. The analytical formulas help us intuitively analyze the influence of various parameters at the theoretical level. The effects of different physical quantities on C-f and Nu(x) are thoroughly investigated.

Automated summary

This study investigates the magnetohydrodynamic flow and heat transfer of a Casson fluid over an exponentially shrinking sheet with suction using the homotopy analysis method. Unlike previous methods, an explicit analytical solution to the nonlinear problem is obtained. The changes in velocity and temperature profiles are studied under different parameter conditions, and the convergent solutions are verified by comparison with numerical results. Analytical formulas are used to analyze the skin friction coefficient and local Nusselt number, providing intuitive insights into the influence of parameters on flow and heat transfer.