BEM formulation for steady-state conduction-convection problems with variable velocities

Journal Article · Wed Jun 01 00:00:00 EDT 1994 · Numerical Heat Transfer. Part B, Fundamentals; (United States)

DOI:https://doi.org/10.1080/10407799408955928· OSTI ID:7246423

Gupta, A; Chan, C L; Chandra, A ^[1]

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1. Univ. of Arizona, Tucson, AZ (United States). Dept. of Aerospace and Mechanical Engineering

Development of a boundary-element method (BEM) for steady-state conduction-convection problems with an arbitrary velocity field is the principal focus of this article. The steady-state fundamental solution for a moving heat source is used in the present approach. An arbitrary velocity field is decomposed into a constant part and a variable part. In addition to the boundary integrals for the constant-velocity case, variable velocity requires a domain integral in the BEM formulation. Both iterative and noniterative schemes have been used to solve the BEM equation including the domain integral term. Numerical results obtained from the proposed formulation are first validated against analytical results. Other example problems are then investigated and a detailed parametric study is conducted to understand the effects of the decomposition level and mesh refinement. The proposed BEM formulation is found to produce stable and accurate solutions under a variety of conditions for steady-state conduction-convection problems with arbitrary velocity fields.

• OSTI ID: 7246423
• Journal Information: Numerical Heat Transfer. Part B, Fundamentals; (United States), Vol. 25:4; ISSN 1040-7790
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
THERMAL CONDUCTION
BOUNDARY ELEMENT METHOD
CONVECTION
MESH GENERATION
TEMPERATURE GRADIENTS
THREE-DIMENSIONAL CALCULATIONS
CALCULATION METHODS
ENERGY TRANSFER
FINITE ELEMENT METHOD
HEAT TRANSFER
MASS TRANSFER
NUMERICAL SOLUTION
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