Effect of increasing Hartmann number, amplitude and number of oscillations of wavy wall on natural convection in a porous enclosure

Abstract

In this paper, the effect of increasing amplitude and number of wavy wall oscillations on natural convection heat transfer inside a two-dimensional porous enclosure in the presence of magnetic field is investigated by lattice Boltzmann method (LBM). The left wall is at a constant hot temperature while the wavy walls are at a constant cold temperature. The right wall has a sinusoidal temperature distribution and the other walls are considered adiabatic. There are also two conductive circular obstacles on both sides of the enclosure. In the simulation, the flow and temperature are calculated by simultaneously solving the flow and temperature distribution functions. The effect of various parameters such as Hartmann number, porosity coefficient, number and amplitude of wavy wall have been investigated. The results show that as the porosity coefficient increases, the average Nusselt number increases and with increasing Hartmann number, the amplitude and the number of wall waves decrease the heat transfer. The effect of increasing the porosity coefficient on increasing heat transfer is decreases with increasing Hartmann number