Abstract
In the present study, an attempt is made to explore the flow field inside the differentially heated lid-driven square cavity. The governing equations along with boundary conditions are solved numerically. The simulated results (100 ≤ Re ≤ 1000 and 0.001 ≤ Ri ≤ 10) are validated with previous results in the literature. The convection differencing schemes, namely, UPWIND, QUICK, SUPERBEE, and SFCD, are discussed and are used to simulate the flow using the MPI code. It is observed that the computational cost for all the differencing schemes get reduced tremendously when the MPI code is implemented. Plots demonstrate the influences of Re and Ri in terms of the contours of the fluid streamlines, isotherms, energy streamlines, and field synergy principle.
Highlights
Without external forces such as exterior wind or fans, fluids flow because of density variations. ese variations of density inside the enclosures are due to natural and forced convections. ere is a general practice in evaluating the vital role of each of the convection type for determining the dominant convection type
Moallemi and Jang [7] analysed the effects of Prandtl number (Pr) on a laminar mixed convection heat transfer in a lid-driven cavity. ey performed the numerical simulations for two-dimensional laminar flow (100 ≤ Re ≤ 2200) and studied the effects of small to moderate Prandtl numbers (0.01 ≤ Pr ≤ 50) on the flow and heat transfer characteristics in a square cavity for various values of Richardson number (Ri). e temperature and flow fields in the cavity show the strong influence of Prandtl number, Pr. e local and average Nusselt numbers
E self-filtered central differencing (SFCD) scheme employs the boundedness of the upwind differencing scheme (UDS) and the accuracy of the central differencing scheme (CDS). is scheme removes the unphysical extrema whenever they would arise
Summary
Received 10 January 2020; Revised 6 February 2020; Accepted 8 February 2020; Published 9 March 2020. An attempt is made to explore the flow field inside the differentially heated lid-driven square cavity. E governing equations along with boundary conditions are solved numerically. E simulated results (100 ≤ Re ≤ 1000 and 0.001 ≤ Ri ≤ 10) are validated with previous results in the literature. E convection differencing schemes, namely, UPWIND, QUICK, SUPERBEE, and SFCD, are discussed and are used to simulate the flow using the MPI code. It is observed that the computational cost for all the differencing schemes get reduced tremendously when the MPI code is implemented. Plots demonstrate the influences of Re and Ri in terms of the contours of the fluid streamlines, isotherms, energy streamlines, and field synergy principle
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