3D MHD Natural Convective Flow Past a Uniformly Moving Porous Vertical Plate With Variable Sinusoidal Suction in the Slip Flow Regime

Abstract

The current study aims to precisely solve the problem of three‐dimensional (3D) magnetohydrodynamics (MHDs) natural convective flow of a viscous, incompressible, electrically conducting, nongray, optically thick fluid past a uniformly moving porous vertical plate with variable sinusoidal suction in the slip flow regime, considering thermal diffusion, diffusion‐thermo, and thermal radiation. The incorporation of variable sinusoidal suction with variable amplitude in a slip flow regime in 3D MHD natural convective flow across a uniformly moving porous vertical plate is the novelty of the present work. Into the fluid region, a uniform transverse magnetic field is applied. Using Rosseland approximation, the flux appearing in the energy equation can be described. At the plate, solutal, thermal, and momentum slip are taken into account. The equations governing the flow model are solved using the asymptotic series expansion method. Since sinusoidal suction creates a 3D flow, the flow is 3D. Through figures and tables, we discuss the effects of different parameters on flow and transport characteristics. The magnetic body force, or Lorentz force, is produced when a magnetic field and fluid velocity interact. Because of this force's resistance to the flow, the fluid's velocity drops. A greater amount of mass diffusivity results in an increase in the concentration profile. An increase in thermal diffusivity raises the temperature field. The rate of heat transmission is reduced by higher thermal diffusivity. The mass transfer accelerates as fluid viscosity rises because the fluid's viscosity increases along with the Schmidt number. Skin friction reduces by 0.5% when the Soret number rises by one unit. The rate of mass transfer is enhanced with a growing Reynolds number or low viscosity.