Time‐Dependent Free Convection of MHD Newtonian Fluid Over a Vertical Oscillating Plate for the Interaction of the Heat Source and the Chemical Reaction: The Laplace Transformation Technique

ABSTRACT Free convection of time‐dependent magneto‐hydrodynamic (MHD) fluid has received considerable attention recently because of their vast applications in industries as well as technology. However, recent advancements have seen applications in different areas such as cooling of electronic devices, thermal management in nuclear reactors, geothermal energy extraction, and so on. The present study investigates the time‐dependent MHD flow of Newtonian fluid over a vertical oscillating plate packed with a porous matrix due to the interaction of thermal buoyancy. The applied magnetic field, the heat source, and the chemical reaction affect the transport phenomena. The interaction between radiating heat and the chemical reaction in these fluids further enhances their relevance in environmental engineering and material processing in which thermal and solutal control plays a vital role. The proposed model adopts particular transformations to convert Reid into nondimensional form and, further, an analytical technique, that is, the Laplace transformation technique, is utilized for the solution. The physical behavior of characterizing factors involved in the flow phenomena are presented graphically and elaborated. The important characteristics of these factors are described as; enhanced magnetization within the permeable medium controls the velocity profile, whereas the fluid temperature enhances significantly. The radiating heat increases the thermal rate and the fluid velocity overshoots with increasing solutal and thermal buoyancy.