Hydromagneto quadratic natural convection on a lid driven square cavity with isothermal and non-isothermal bottom wall

Abstract

Purpose This paper aims to focus on linear and non-linear convection in a lid-driven square cavity with isothermal and non-isothermal bottom surface. Design/methodology/approach It is assumed that the top moving wall is adiabatic and the bottom wall is heated in two modes, and the rest of the walls are maintained at uniform cold temperature. The coupled governing non-linear partial differential equations are solved numerically with MAC algorithm for conducting a parametric study with uniform and non-uniform temperature bottom wall. Findings The numerical results are depicted in the form of streamlines, temperature contours and variation of local Nusselt number. The local Nusselt number at the bottom wall of the cavity increases in presence of non-linear temperature parameter as compared with linear temperature parameter and heat transfer reduces with increasing of Ha for uniform and non-uniform heating of bottom wall. Research limitations/implications The numerical investigation is conducted for unsteady, two-dimensional natural convective flow in a square cavity. An extension of the present study with the effect of inclination of cavity, wavy walls and triangular cavity will be the interest of future work. Originality/value This work studies the effect of magnetic field in the presence of linear convection and non-linear convection. This study might be useful to cooling of electronic components, alloy casting, crystal growth and fusion reactors, etc.

Cu-Water Nanofluid MHD Quadratic Natural Convection on Square Porous Cavity

“…The flow patterns are pictured as streamlines (9) to describe the fluid motion, Heatlines ∇ 2 ∂U θ/∂Y − ∂ V θ/∂ X to describe the heat flow and isotherms (θ ). Local Nusselt number is given as N u l −(∂θ/∂Y )(k n /k f l ) and integrating the local Nusselt along the heated boundary provides with the average Nusselt number, N u.…”

“…suitable grid and the whole computation is carried out with an immobile, constant spacing grid resolution of 122 × 122. In order to establish the validation of work, the streamlines and isotherms obtained by Venkatadri et al [9], Basak et al [15], Ghasemi et al [21] and by current machine code were compared. Figure 3, Fig.…”

“…The study also discusses variation in heat transfer as a result of different shapes in fins mounded to the bottom. Venkatadri et al [9] investigated quadratic or non-linear convection in a square cavity with an applied magnetic field. The investigation reveals that increasing the non-linear convection parameter increases the heat transfer rate.…”