Unsteady MHD Heat Transfer in Couette Flow of Water at 4°C in a Rotating System with Ramped Temperature via Finite Element Method

Abstract

An unsteady magnetohydromagnetic natural convection on the Couette flow of electrically conducting water at 4 0 C (Pr = 11.40) in a rotating system has been considered. A Finite Element Method (FEM) was employed to find the numerical solutions of the dimensionless governing coupled boundary layer partial differential equations. The primary velocity, secondary velocity and temperature of water at 4 o C as well as shear stresses and rate of heat transfer have been obtained for both ramped temperature and isothermal plates. The results are independent of the mesh (grid) size and the present numerical solutions through the Finite Element Method (FEM) are in good agreement with the existing analytical solutions by the Laplace Transform Technique (LTT). These are shown in tabular and graphical forms.

Mathematical Model of Unsteady MHD Couette Flow of Maxwell Viscoelastic Material and Heat Transfer with Ramped Wall Temperature

“…Moreover, increasing time and the Hartmann number reduces the longitudinal velocity. Reddy et al [6] used the finite element technique to investigate the unsteady MHD rotating Couette flow of 4℃-water with ramped wall temperature. The finding from this study revealed that the fluid velocity increases when the Grashof number decreases, and is reduced whenever there are increases in Prandtl number and magnetic field parameter.…”

Unsteady Convective Couette Flow with Heat Source

“…The entropy generation and temperature dependent heat source effects on MHD Couette flow with permeable base in the presence of radiation and viscous dissipation was studied by Sukumar and Varma (2016). Reddy et al (2017) investigated unsteady MHD heat transfer in Couette flow of water at 4 O C in a rotating system with ramped temperature. Ajibade and Bichi (2019) examined natural convection Couette flow through a vertical porous channel due to combined effects of thermal radiation and variable fluid properties.…”