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Analysis of visualization techniques of bottom heated lid–driven square cavity
Author(s) -
Narayana Vekamulla,
Rani Hari Ponnamma
Publication year - 2020
Publication title -
heat transfer
Language(s) - English
Resource type - Journals
eISSN - 2688-4542
pISSN - 2688-4534
DOI - 10.1002/htj.21787
Subject(s) - streamlines, streaklines, and pathlines , nusselt number , mechanics , reynolds number , flow (mathematics) , square (algebra) , convection , flow visualization , combined forced and natural convection , physics , natural convection , mathematics , geometry , turbulence
Abstract In the present study, an attempt is made to explore the flow visualization techniques inside the bottom heated lid–driven square cavity. The governing equations along with boundary conditions are solved numerically. The convection differencing schemes namely, upwind difference, quadratic upstream interpolation for convective kinetics, Superbee, and self‐filtered central differencing schemes are discussed and are used to simulate the flow using message passing interface (MPI) code. An attempt has been made to analyze the flow behavior inside the cavity using streamlines, isotherms energy streamlines, and field synergy by varying the Reynolds number ( Re ) and Richardson number ( Ri ). The simulated results (100≤ Re ≤ 1000 and 0.001≤ Ri ≤ 10) are validated with previous results in literature. It is observed that the computational cost for all the differencing schemes gets reduced tremendously when the MPI code is implemented. Flow becomes quasi‐two‐dimensional for Ri < 1. Overall, Nusselt number increases mildly with cavity inclination for the forced convection–dominated case ( Ri = 0.1) while it increases much more rapidly with inclination for natural convection–dominated case ( Ri = 10).