Analysis of Hall current and nonuniform heating effects on magneto-convection between vertically aligned plates under the influence of electric and magnetic fields

Abstract In this study, we discussed the effect of Hall current and electric field on heat transfer and fluid flow between non-uniformly heated parallel vertical plates when fluid is presumed in transverse magnetic and electric fields. A numerical solution of dimensionless partial differential equations governing the flow is derived via the implicit Crank–Nicolson technique. The numerically calculated solutions are presented graphically and these graphical results examine the primary velocity, secondary velocity, and the temperature profiles for various physical parameters. The average values of skin friction and the Nusselt number are provided in tabular form. A significant result of our findings is that the rising values of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mrow> <m:mi>E</m:mi> </m:mrow> <m:mrow> <m:mn>1</m:mn> </m:mrow> </m:msub> </m:math> {E}_{1} boost flow velocities and raises the temperature profile. These effects are important for fluid flow and heat transfer, making effective control and regulation essential.