Numerical Simulation of Double Diffusive Mixed Convection in a Lid-Driven Square Cavity Using Velocity-Vorticity Formulation
27 Oct 2008-Numerical Heat Transfer Part A-applications (Taylor & Francis Group)-Vol. 54, Iss: 9, pp 837-865
TL;DR: In this article, a velocity-vorticity form of Navier-Stokes equations is used to predict the characteristic parameters of flow, temperature, and solutal concentration fields using a much coarser mesh compared to the mesh used in a stream function-Vorticity formulation.
Abstract: In this article, convection driven by combined thermal and solutal concentration buoyancy effects in a lid-driven square cavity is examined using velocity-vorticity form of Navier-Stokes equations. The governing equations consist of vorticity transport equation, velocity Poisson equations, energy equation, and concentration equation. Validation results are discussed for convection due to heat and mass transfer in a lid-driven square cavity at Re = 500, Le = 2, and GRT = GRS = 100. These results indicate that the present velocity-vorticity formulation could predict the characteristic parameters of flow, temperature, and solutal concentration fields using a much coarser mesh compared to the mesh used in a stream function-vorticity formulation. The capability of the proposed algorithm to handle complex geometry is demonstrated by application to mixed convection in a lid-driven square cavity with a square blockage. The effect of buoyancy ratio on the convection phenomenon is discussed for buoyancy ratio var...
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TL;DR: In this article, a numerical analysis is performed to understand the mixed convection flow, and heat and mass transfer with Soret effect in a two-sided lid-driven square cavity, where the horizontal walls of the cavity are adiabatic and impermeable, while vertical walls are kept at constant but different temperatures and concentrations.
Abstract: In the present study, a numerical analysis is performed to understand the mixed convection flow, and heat and mass transfer with Soret effect in a two-sided lid-driven square cavity. The horizontal walls of the cavity are adiabatic and impermeable, while vertical walls are kept at constant but different temperatures and concentrations. The vertical walls move in a constant velocity. According to the direction of the movement of walls, three cases have been studied for different combinations of parameters involved in the study. The governing unsteady equations are solved numerically by the finite volume method with the SIMPLE algorithm. The results are presented graphically in the form of streamlines, isotherms, and velocity profiles. Heat and mass transfer rates are reduced if both walls are moving the in same direction, while heat and mass transfer rates are enhanced if the walls are moving in the opposite direction.
58 citations
TL;DR: A comprehensive survey of the literature in the area of numerical heat transfer (NHT) published between 2000 and 2009 has been conducted by as mentioned in this paper, where the authors conducted a comprehensive survey.
Abstract: A comprehensive survey of the literature in the area of numerical heat transfer (NHT) published between 2000 and 2009 has been conducted Due to the immenseness of the literature volume, the survey
58 citations
TL;DR: In this paper, the authors analyzed probable steady state flow structures and temperature patterns that may evolve during mixed convection within a lid-driven trapezoidal enclosure with cold top wall and hot bottom wall as the speed of moving lid varies with respect to the intensity of imposed temperature gradients.
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TL;DR: In this article, a two-dimensional trapezoidal lid-driven enclosure with four types of nanofluids (Al 2 O 3, CuO, SiO 2, and TiO 2 with pure water) was studied for mixed convection heat transfer.
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TL;DR: In this paper, a numerical study of unsteady laminar mixed convection flow in a square cavity with ventilation ports due to an oscillating velocity at the inlet port is performed.
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Cites background from "Numerical Simulation of Double Diff..."
...Hence many researchers have investigated the properties ofmixed convection in a wide range of situations [1–6]....
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References
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2,196 citations
TL;DR: In this article, a set of Boussinesq approximations were shown to have solutions of similarity form for combined buoyancy effects, for vertical flows adjacent to surfaces and in plumes, and the resulting equations were integrated for air and water for various practical values of the Schmidt number.
553 citations
"Numerical Simulation of Double Diff..." refers methods in this paper
...Initial studies on combined natural convection originated from the classical natural convection over vertical surface problems being extended to include the effect of mass diffusion using similarity methods [1]....
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TL;DR: In this paper, the authors present a numerical study of mixed-convection heat and mass transport in a lid-driven square enclosure filled with a non-Darcian fluid-saturated porous medium.
Abstract: This article presents a numerical study of mixed-convection heat and mass transport in a lid-driven square enclosure filled with a non-Darcian fluid-saturated porous medium. The two vertical walls of the enclosure are insulated, while the horizontal walls are kept at constant but different temperatures and concentrations with the top surface moving at a constant speed. The transport equations are solved numerically using the finite-volume approach along with the alternating direct implicit (ADI) procedure. Comparisons with previously published work are performed and found to be in excellent agreement. The results of the present investigation indicate that the buoyancy ratio, Darcy number, Lewis number, and Richardson number have profound effects on the double-diffusive phenomenon.
142 citations
"Numerical Simulation of Double Diff..." refers background in this paper
...Khanafer and Vafai [10] studied numerically the mixed-convective heat and mass transport in a lid-driven square enclosure filled with a non-Darcian fluid-saturated porous medium....
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136 citations
"Numerical Simulation of Double Diff..." refers background in this paper
...Orhan Aydin [12] simulated the aiding and opposing buoyancy flows in a square cavity for Re¼ 100 at various values of Richardson number....
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...Orhan Aydin [12] simulated the aiding and opposing buoyancy flows in a square cavity for Re1⁄4 100 at various values of Richardson number....
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