Thermal performance of MHD natural convection flow in a concentric semi-circle porous enclosure having corrugated radius

Abstract

The amplitude and period of the corrugation can significantly affect heat transport in a concentric semi-circular enclosure with corrugated radius. By increasing the surface area of the walls and promoting convective heat transmission between the fluid and the walls, the corrugated walls can improve heat transfer. Such a type of system is utilized in energy storage systems, heat exchangers, chemical reactors, materials processing, and electronic cooling systems. The system's overall efficiency and dependability can be increased by using transverse MHD together with corrugated wall to control fluid flow and improve heat and mass transfer. Heat transfer enclosed in a semi-circular porous cavity with corrugated radius walls is addressed. Inner and out semi-circle are joint through heated corrugated walls and these walls are depending upon the amplitude and period of corrugation. The outer semi-circle is divided into three different portions with an angle of 60o each. The central portion is considered as adiabatic however the left and right part of outer semi-circle is cold. The governing equation are developed through law of conservation of mass, momentum, and energy. An inclined magnetic field is applied to the system that makes an angle αwith x−axis. The dimensionless system of nonlinear partial differential equations (PDE) is tackled through Finite Element Method (FEM) and parametric control analysis is developed. The impact of each parameter, for instance: inclination angle −60o≤α≤60o,Rayleigh number (104≤Ra≤108), the Permeability parameter (10−7≤Da≤10−2), Ha is the Hartmann number, amplitude (A) and period of corrugation (20≤f≤60) is reflected through isotherms and streamlines. The results depict that due to transverse angle of MHD, natural convection process within the cavity tilted either on right or left side based upon angle inclination angle. It is concluded that rate of heat transfer is increased by corrugation by increasing the radius's amplitude and higher Darcy numbers signify greater fluid flow resistance, and lower Darcy numbers signify less resistance. They acquire to the conclusion that the Raleigh number's impact on the isotherms profile can be further modified by the strength and direction of the magnetic field.