Effects on two semi-circular wall heaters in a rectangular enclosure containing trapezoidal heated obstacle in presence of MHD

TL;DR

This computational study investigates how magnetic fields and buoyancy effects influence heat transfer in a rectangular enclosure with semi-circular heaters and a trapezoidal obstacle, revealing dominant heat transfer on the right heater with increasing magnetic and buoyancy parameters.

Contribution

It introduces a detailed finite element analysis of MHD effects on heat transfer in a complex enclosure with specific geometric and boundary conditions.

Findings

Heat transfer on the right semi-circular heater increases with Hartmann number.

Heat transfer on the right semi-circular heater increases with Buoyancy ratio.

Flow and temperature distributions are significantly affected by magnetic and buoyancy parameters.

Abstract

A computational study has been done to illustrate the effects on two semi-circular wall heaters placed in a mixed convection rectangular enclosure containing trapezoidal heated obstacle in presence of magnetic field. The upper wall moves with a velocity in the positive x-direction. Trapezoidal obstacle is located in the middle of the cavity and two semi-circular wall heaters are placed at the bottom wall with fixed distance between them. These two horizontal walls are kept adiabatic except two semi-circular wall heaters. Two vertical walls are kept at low temperature and concentration and the trapezoidal obstacle and two semi-circular walls are kept at high temperature and concentration. Finite element method is used to solve governing equations. The present analysis is performed for parameters such as Hartmann number, Buoyancy ratio and Richardson number. The effects of aforesaid parameters are explored on the fluid flow and temperature at two semi-circular wall heaters. The results show that heat transfer rate along right semi-circular wall heater dominates the left semi-circular wall heater with the increase of both the parameters Hartmann number and Buoyancy ratio.