The boundary element method applied to forced convection heat problems

An integral equation formulation for steady flow of a viscous fluid is presented based on the boundary element method. The continuity, Navier–Stokes and energy equations are used for calculation of the flow and temperature fields. The governing differential equations, in terms of primitive variables...

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Veröffentlicht in:International communications in heat and mass transfer Jg. 35; H. 1; S. 1 - 11
Hauptverfasser: Ramirez Camacho, Ramiro G., Barbosa, João R.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York, NY Elsevier Ltd 01.01.2008
Elsevier
Schlagworte:
Boundary element
Computational methods in fluid dynamics
Convection and heat transfer
Exact sciences and technology
Fluid dynamics
Forced convection
Fundamental areas of phenomenology (including applications)
Fundamental solution
Integral equation
Physics
Turbulent flows, convection, and heat transfer
Fundamental solution
Forced convection
Integral equation
Boundary element
Continuity equations
Temperature distribution
Streamlines
Digital simulation
Boundary conditions
Velocity distribution
Cavity flow
Energy equation
Modelling
Viscous fluids
Numerical convergence
Boundary element method
Heat transfer
Navier-Stokes equations
ISSN:0735-1933, 1879-0178
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Beschreibung
Zusammenfassung:An integral equation formulation for steady flow of a viscous fluid is presented based on the boundary element method. The continuity, Navier–Stokes and energy equations are used for calculation of the flow and temperature fields. The governing differential equations, in terms of primitive variables, are derived using velocity–pressure–temperature parameters. The calculation of fundamental solutions and solutions tensor is shown. Applications to simple flow cases, such as driven cavity, forward facing step, deep cavity and channel are presented. Convergence difficulties are indicated, which have limited the applications to flows of low Reynolds numbers.
ISSN:0735-1933
1879-0178
DOI:10.1016/j.icheatmasstransfer.2007.08.012