Simulation of Thermomagnetic Convection in a Cavity Using the Lattice Boltzmann Model

Abstract

Thermomagnetic convection in a differentially heated square cavity with an infinitely long third dimension is numerically simulated using the single relaxation time lattice Boltzmann method (LBM). This problem is of considerable interest when dealing with cooling of microelectronic devices, in situations where natural convection does not meet the cooling requirements, and forced convection is not viable due to the difficulties associated with pumping a ferrofluid. Therefore, circulation is achieved by imposing a magnetic field, which is created and controlled by placing a dipole at the bottom of the enclosure. The magnitude of the magnetic force is controlled by changing the electrical current through the dipole. In this study, the effects of combined natural convection and magnetic convection, which is commonly known as “thermomagnetic convection,” are analysed in terms of the flow modes and heat transfer characteristics of a magnetic fluid.

Thermo-physical properties and thermo-magnetic convection of ferrofluid

“…Table 2 Thermomagnetic convection in a differentially heated square cavity with an infinitely long third dimension is numerically simulated using the single relaxation time lattice Boltzmann method (LBM) [52]. A dipole was located at the bottom of the enclosure to create a magnetic field, which circulate ferrofluids.…”

“…Hadavand & Sousa [52] Experimental study on thermomagnetic convection inside cavities. They examine the flow induced by convective currents inside a cavity with aspect ratio near the unity and the heat transfer rates measurements.…”

Conjugate Effects of Buoyancy and Magnetic Field on Heat and Fluid Flow Pattern at Low-to-Moderate Prandtl Numbers

“…Study of magnetohydrodynamic (MHD) flows, has been the subject of large number of numerical investigations [1][2][3]. Moreover, flows under external magnetic field are of practical interest such as crystal growth in liquids, cooling of nuclear reactors, electronic packages, micro electronic devices; and have been the subject of many earlier and recent studies for free fluid flows [4][5][6].…”

Thermomagnetic Convective Cooling of Hall Effect Thruster

“…Numerical and experimental studies have shown the effect of both large and small magnetic fields and temperature differences [12][13][14]. Hadavand…”

“…analytically showed that thermomagnetic convection will dominate over natural convection in a convective cell[12]. His set up included a square cavity with 2 mm long walls, with the top and the bottom wall adiabatic, the left and right wall were held at a constant temperature.…”