Vector lines and potentials for computational heat transfer visualisation

Since the development of 3D computational heat transfer in the early 1970s, construction of the lines of vector fields has been a fundamental visualisation technique. In addition to the usual velocity lines, the lines of transport vectors for mass, energy and entropy can be especially relevant to he...

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Bibliographic Details
Published in:International journal of heat and mass transfer 2009-08, Vol.52 (17), p.4008-4020
Main Author: Mallinson, G.D.
Format: Article
Language:English
Subjects:
Analytical and numerical techniques
Computational heat transfer visualisation
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Heat lines
Heat transfer
Laminar flows
Laminar flows in cavities
Physics
Scalar stream functions
Streamlines
Transport vector
Vector potentials
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Summary:Since the development of 3D computational heat transfer in the early 1970s, construction of the lines of vector fields has been a fundamental visualisation technique. In addition to the usual velocity lines, the lines of transport vectors for mass, energy and entropy can be especially relevant to heat and mass transfer. The use of scalar stream functions and vector potentials to ensure that these lines satisfy flux conservation is discussed in this paper by tracing the history of their use for streamline construction. A flux conservative method that uses an energy vector potential for constructing energy transport lines is described and its use for constructing 3D heat lines is demonstrated for natural convection in a cavity.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2009.03.023