Analysis of thermal behavior of magnetic buoyancy-driven flow in ferrofluid-filled wavy enclosure furnished with two circular cylinders

摘要

This present paper is dedicated to understanding the behavior of buoyancy-driven flow in a Fe_3O_4 water ferrofluid-filled enclosure which is wavy and equipped with two circular cylinders and subject to constant magnetic field and thermal radiation. The flow is generated via a thermal gradient among the two inner cylinders. The outer cylinder wall is kept adiabatic. A numerical solution for the equations of conservation in dimensionless form is accomplished by using the finite element technique. Magnetic field- dependent viscosity is employed to determine the overall viscosity of the ferrofluid. Impacts of diverse factors and their mutual relationships that influence the thermo-hydrodynamic behavior and the rate of heat transfer inside the system have been perused. The results vividly draw that the overall heat transfer augments with radiation coefficient and Rayleigh number while it deteriorates with Hartmann number and relative distance between the active cylinders.