Assessment of heat transfer in large parallel plates with a narrow gap maintained at a constant temperature

Abstract

Investigations are conducted on electromagnetohydrodynamic (EMHD) flow and heat transfer in a third‐grade fluid flowing through large parallel plates, which are maintained at constant temperatures. The impact of convective heat transmission is disregarded since the space between the plates is small. The influence of viscous dissipation is considered. Despite being addressed for Newtonian fluids, the conduction problem with the viscous dissipation effect is not examined in third‐grade fluids for EMHD flow and heat transfer behavior. The least‐square method is adopted to solve nondimensional, nonlinear momentum and energy conservation equations to get the dimensionless velocity, temperature distribution, and heat flux. Temperature and heat flux are investigated in relation to the third‐grade fluid parameter, the Hartmann number, the electric field parameter, and the Brinkman number. The findings show a rise in the Brinkman number dramatically increases heat transfer from both walls, necessitating cooling of both plates. The heat flow from both walls increases as the parameters of third‐grade fluid increases.