Solution of transient laminar natural convection in a square cavity by an explicit finite element scheme

Journal Article · Sun May 01 04:00:00 EDT 1994 · Numerical Heat Transfer. Part A, Applications; (United States)

DOI:https://doi.org/10.1080/10407789408955968· OSTI ID:7018991

Krishna Satya Sai, B V; Seetharamu, K N; Aswatha Narayana, P A ^[1]

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1. Indian Inst. of Technology, Madras (India)

This paper discusses the application of a finite element method based on the first-order projection scheme, which is an extension of Chorin's algorithm, to transient laminar natural convection in a square cavity. Results have been presented for a fluid of Prandtl number 0.71 in the Rayleigh number range of 10[sup 3]--10[sup 6] in terms of the variation of vertical velocity component, nondimensional temperature, and average Nusselt number with time. Various features of the scheme that render it economical in terms of CPU time and storage requirements are discussed. The steady state results have been compared with benchmark solutions, and the agreement appears to be good.

• OSTI ID: 7018991
• Journal Information: Numerical Heat Transfer. Part A, Applications; (United States), Journal Name: Numerical Heat Transfer. Part A, Applications; (United States) Vol. 25:5; ISSN NHAAES; ISSN 1040-7782
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
CALCULATION METHODS
CAVITIES
CONVECTION
ENERGY TRANSFER
FLUID FLOW
HEAT TRANSFER
MASS TRANSFER
NATURAL CONVECTION
TRANSIENTS
VARIATIONS