A semi-analytical analysis on transfer behaviour of heat and mass on the viscous dissipated MHD UCM fluid flow between squeezing plates

Abstract

The current study strives to theoretically examine the heat and mass transfer properties on the magnetohydrodynamic upper convected Maxwell fluid flow through a squeezing channel of parallel plates. Due to its vast applications, such as lubrication systems and bearing, the flow of upper convected Maxwell fluid through the channel comprising a moving impermeable top plate and a stationary porous bottom that is responsible for injection and suction effects in addition to squeezing motion is analysed in the study. The fundamental equations governing the conservation laws of fluid mechanics are transfigured into a non-linear system of ordinary differential equations adopting similarity transformations along with the boundary conditions. The so-obtained non-linear ordinary differential equations are then approached by the homotopy perturbation method to achieve an approximate analytic solution. Various graphs concerning the velocity, temporal, and concentration profiles are plotted against distinct pertinent parameters that pose a physical impact on the model. It is observed that the temporal distribution field elevates with a rise in the Eckert number and a decrease in the radiation parameter. Further, it is noticed that the concentration profile upsurges with a hike in the radiation parameter and depletion in the Eckert number. Moreover, the numerical values corresponding to the coefficient of skin friction, and rates of heat and mass transfer are tabulated for distinct pertinent parameters involved in the study.