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 [Formula: see text] and [Formula: see text] 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 [Formula: see text] , magnetic interaction parameter M, suction parameter s, and Prandtl number [Formula: see text]. The convergent solutions are verified by comparison with the numerical results. In addition, the skin friction coefficient [Formula: see text] and local Nusselt number [Formula: see text] are analyzed using the analytic formulas of [Formula: see text] and [Formula: see text] , respectively. The analytical formulas help us intuitively analyze the influence of various parameters at the theoretical level. The effects of different physical quantities on [Formula: see text] and [Formula: see text] are thoroughly investigated.