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Differentially heated cubical cavity using energy pathlines and field synergy
Author(s) -
Rani Hari P.,
Koragoni Naresh,
Narayana Vekamulla
Publication year - 2020
Publication title -
heat transfer
Language(s) - English
Resource type - Journals
eISSN - 2688-4542
pISSN - 2688-4534
DOI - 10.1002/htj.21795
Subject(s) - streamlines, streaklines, and pathlines , mechanics , isothermal process , vortex , vector field , flow (mathematics) , convection , natural convection , field (mathematics) , heat transfer , materials science , geology , thermodynamics , physics , mathematics , pure mathematics
The article deals with the natural convective flow of air in a cubical cavity which is analyzed numerically. Isothermal temperature is maintained on the vertical walls where the temperature of the left wall is more than the right wall and all other walls are assumed to be kept insulated. In this present article, upwind, QUICK, SUPERBEE, and self‐filtered central differencing schemes are compared based on their accuracy and computational time with a numerical example. An attempt has been made to analyze the flow behavior inside the cavity using vortex corelines, streamlines, isotherms energy pathlines, and field synergy by varying the Rayleigh number ( Ra ) from 10 3 to 10 6 . In the vicinity of isothermal vertical walls, the velocity, and temperature boundary layers become thinner as Ra increases. The energy pathlines are in oscillating nature when Ra increases to 10 5 and above. The field synergy principle implies by improving the synergy between the velocity and temperature, the heat transfer gets enhanced with the less increased flow resistance.