International Research Journal of Engineering and Technology (IRJET)
e-ISSN: 2395-0056
Volume: 10 Issue: 07 | July 2023
p-ISSN: 2395-0072
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Mixed Convection Flow and Heat Transfer in a Two Sided Lid Driven Cavity Using SIMPLE Algorithm Arti Kaushik Department of Mathematics, Maharaja Agrasen Institute of Technology, Delhi. India ---------------------------------------------------------------------------***------------------------------------------------------------------------Abstract - In this paper mixed convection flow and heat enclosure. Numerical investigation to analyze the steady transfer in steady 2-D incompressible flow through a two sided lid driven cavity is studied. The upper and lower walls of cavity are moving with uniform velocity. The upper wall is at higher temperature and the lower wall is kept at lower temperature. SIMPLE algorithm is employed for solution of governing equations of the model. A staggered grid system is employed for numerical computations for velocity, pressure and temperature. Various values of under relaxation factors for velocity, pressure and temperature are used to obtain the stability of the numerical solutions. Bernoulli equation has been taken up to check the accuracy of the computed solutions. The significant findings from this study have been given under conclusion.
state two-dimensional mixed convection in two sided liddriven porous cavity under the combined buoyancy effects of thermal and mass diffusion, when the walls are moving in opposite direction was done by Benmalekb and Souidi [7]. Their results illustrate that heat transfer and mass transfer characteristics inside the cavity are enhanced for low values of the Richardson number due to the dominant mechanical effect induced by the moving lids. They also observed that heat and mass transfer are decreased for low values of the Darcy number. Numerical investigation of mixed convection fluid flow and heat transfer in an inclined two-sided lid-driven cavity subjected to Al2O3−water nanofluid was done by Esfe et al [8]. The effects of inclination angle, Richardson number, nanoparticle volume fraction, temperature, and nanoparticle diameter based on variable property formulations were recorded. Their results indicated that the addition of Al2O3 nanoparticles has produced a remarkable enhancement on heat transfer with respect to that of the pure fluid. Esfe et al investigated mixed convection flows through a SiO2−water nanofluid in a square double lid-driven cavity with various inclination angles and sinusoidal heating on the left wall [9]. They studied the effects of variations of Richardson and Reynolds number, angle of inclination, and solid volume fraction of nanoparticles on the hydrodynamic and thermal characteristics. They found that the increases heat transfer rate with the solid volume fraction for a particular Re. Sivasankaran et al numerically investigated magnetohydrodynamic mixed convection flow and heat transfer of Cu–water nanofluid in a square cavity filled with a Darcian porous medium with a partial slip[10]. They performed a parametric study and presented a set of graphical results to demonstrate interesting features of the solution. An investigation of the heat transfer performance of a twosided lid-driven cavity filled with Cu-water nanofluid saturated porous media was done by Mukherjee et al [11]. They introduced A concept of speed ratio to analyze the effect of different moving velocity of top and bottom walls. They found that the heat transfer rate increases with the increase of speed ratio and for all the values of the speed ratio, average Nusselt number increases
Keywords - Incompressible flow, two sided lid driven cavity, SIMPLE algorithm, staggered grid system, mixed convection flow.
1. INTRODUCTION The phenomenon of motion of viscous fluid in a twodimensional rectangular cavity was first studied by Kawaguti [1]. Since then, numerous researches have been done to study the motion of fluid in lid driven cavity under different conditions [2], [3], [4]. Numerical investigation of steady state two-dimensional mixed convection problem in a vertical two-sided liddriven differentially heated square cavity was done by Öztop and Dağtekin [5]. They considered three cases depending on the direction of moving walls. They found that both Richardson number and direction of moving walls affect the fluid flow and heat transfer in the cavity. Muthtamilselvan et al studied the effect of magnetic field on mixed convection in a two-sided lid-driven cavity filled with a fluid saturated porous medium keeping the top and bottom horizontal walls at constant but different temperatures [6]. A uniform magnetic field was applied in the vertical direction normal to the moving wall. They found that Hartmann number, Richardson number, Darcy number and direction of the moving walls have strong influence on the fluid flow and heat transfer in the
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