Heat transport mechanism via ion-slip and Hall current in viscoplastic flow along a porous elastic sheet

Abstract

Heat transfer phenomena occur in most of the natural as well as engineering or manufacturing production plants. Such significant industrial processes utilize various modes for the transportation of heat and energy. In this veneration, the existing research is an attempt to explore heat transmission in a viscoplastic fluid under thermal radiation in the presence of ion and Hall current. The properties of Hall and ion current have enormous uses, particularly when measured in the presence of heat transferal phenomena with suction and injection. The most relevant examples of such mechanisms are fridge spirals, magnetohydrodynamics accelerators, and control generators. Also, the field of biomechanics under the influence of these characteristics is widely used especially in the flowing of blood and magnetic resonance imaging, which helps in producing magnetic resonance images of the thorax, abdomen, brain, kidney, etc. Furthermore, directed medication transport inside the human body needs a tough and heavy magnetic field. Hence, these vital applications of Hall and ion current cannot be overlooked. Transport phenomena are examined past a porous elastic sheet. The prevailing physical model is adapted as a non-linear system of ordinary differential equations by means of proper similarity alterations. The graphical representation shows the physical implication of all related constraints on the velocity and temperature distribution of viscoplastic fluids. Momentum, as well as thermal boundary thickness, is significantly affected by Hall currents and ion slip parameters in the presence of suction/injection phenomena. The temperature of the fluid rises for Eckert number and radiation parameter and also the skin friction coefficient at the surface rises with the suction parameter. An excellent match of numerical results correctly up to three decimal places are obtained for the limiting case when compared to the already published literature.