Mesoscopic simulation of MHD mixed convection of non-newtonian ferrofluids with a non-uniformly heated plate in an enclosure

Abstract

Mixed convective study has been popular in recent years because of its large applications, including the cooling of electronic devices, furnaces, lubrication technologies, high-performance building insulation, multi-shield structures used in nuclear reactors, food processing, glass manufacturing, solar power collectors, drying technologies, chemical processing equipment, and others involve mixed convection in a lid-driven cavity flow problems. Graphics process unit (GPU) based multiple-relaxation-time(MRT) lattice Boltzmann method (LBM) has been employed for investigating the numerical simulation of magnetohydrodynamic(MHD) mixed convection with a non-uniformly heated plate at the mid of an enclosure. The physical model consists of a two-dimensional square enclosure with the top wall moving at a constant speed. Thermally adiabatic conditions are imposed on the top and bottom walls, while the two vertical walls are cold. In the center of the enclosure, a plate has been placed that is non-uniformly heated. A magnetic field is applied with different angles of inclination. Numerical simulations were performed for various influential parameters such as Richardson number ($Ri$), Hartmann number ($Ha$), power-law index ($n$), ferroparticles volume fraction ($\phi$), magnetic field angle ($\gamma$) to study the flow phenomena in terms of the velocity and temperature distributions as well as streamlines and isotherms, respectively. The present study also investigates entropy generation due to the convective heat transfer flow for industrial purposes. The results reveal that as the Richardson number rises, the average Nusselt number rises, and as the Hartmann number rises, the average Nusselt number reduces. Furthermore, it is found that the average Nusselt number is inversely proportional to the power-law index. Total entropy generation increases with the increase of the power-law index and Richardson number. Entropy due to fluid friction, heat transfer, and total entropy shows a maximum at $\gamma=90^\circ$.

MHD Natural Convection and Sensitivity Analysis of Ethylene Glycol Cu-Al2O3 Hybrid Nanofluids in a Chamber with Multiple Heaters: A Numerical Study of Lattice Boltzmann Method

“…Flow. In this section, continuity equation, u momentum, v momentum, and energy equations have been expressed as the following [22]:…”

“…Over the past three decades, researchers/engineers have paid close attention to lattice Boltzmann method (LBM) due to its exceptional capabilities in the numerical study of complicated flows, including multiphase flows, flows affected by magnetic fields, and combustion simulation [20]. LBM is one of the popular simulation techniques in nanofluid flow and heat transfer applications [21][22][23][24]. LBM has been proven to be an efficient approach through a parallel computing framework that reduces computational timescale with improved accuracy [25,26].…”

MHD Mixed Convection of Non-Newtonian Bingham Nanofluid in a Wavy Enclosure with Temperature-Dependent Thermophysical Properties: A Sensitivity Analysis by Response Surface Methodology

“…The nanofluid's effective density (ρ n f ) can be computed using the mixture rule stated by [56,57]:…”

“…where ρ f is the base fluid's density, ρ s is the solid particle's density, and φ is the nanoparticle volume fraction. The heat capacity (ρC p ) n f and the thermal expansion coefficient (ρβ) n f of the nanofluid are determined using the mass averaging technique for nanofluid [57] are as follows:…”

Lattice Boltzmann simulation of natural convection of ethylene glycol-alumina nanofluid in a C-shaped enclosure with MFD viscosity through a parallel computing platform and quantitative parametric assessment

“…The second law of thermodynamics asserts that in any spontaneous activity, the overall entropy of a system either grows or remains constant; it never decreases. Total entropy, S S ¯, is computed by adding entropy by fluid friction, heat transfer and magnetic field S F ¯, S T ¯and S M ¯, respectively [27,39,40]:…”