Natural Convection in a Trapezoidal Enclosure with Wavy Top Surface | Zendy

Pensiri Sompong | Zendy; Supot Witayangkurn | Zendy

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Natural Convection in a Trapezoidal Enclosure with Wavy Top Surface

Author(s) -

Pensiri Sompong,

Supot Witayangkurn

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/840632

Subject(s) - prandtl number , streamlines, streaklines, and pathlines , rayleigh number , natural convection , enclosure , nusselt number , convection , materials science , mechanics , geometry , thermodynamics , mathematics , physics , computer science , turbulence , telecommunications , reynolds number

The effects of various parameters, Rayleigh number (Ra), Darcy number (Da), and wave amplitude (a), on natural convection inside a trapezoidal enclosure with wavy top surface are studied. The enclosure is filled with seawater having Prandtl number (Pr) of 7.2 and uniformly heated on bottom and partially heated on inclined boundaries. The flow field and temperature distribution are observed when interested parameters are chosen for Ra = 104, 105, and 106, Da = 10−5, 10−4, and 10−3, and a=0.9, 1, and 1.1. FlexPDE, a finite element model builder, is used to solve the governing equations to obtain the numerical results displayed by streamlines and isotherms. From the studyresults, convection motion is affected by different parameters in which the increase in flow intensity and temperature distribution can be seen at higher Rayleigh and Darcy numbers. The wavy top surface has small influence on the flow field and temperature distribution compared to the influence of Rayleigh and Darcy numbers

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