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Exact triple integrals of beam functionsDefinite triple integrals encountered in applying the Galerkin method to the problem of heat and mass transfer across rectangular enclosures are discussed. Rather than evaluating them numerically, the technique described by Reid and Harris (1958) was extended to obtain the exact solution of the integrals. In the process, four linear simultaneous equations with triple integrals as unknowns were obtained. These equations were then solved exactly to obtain the closed form solution. Since closed form representations of this type have been shown to be useful in solving nonlinear hydrodynamic problems by series expansion, the integrals are presented here in general form.
Document ID
19820046129
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Jhaveri, B. S.
(Utah Univ. Salt Lake City, UT, United States)
Rosenberger, F.
(Utah, University Salt Lake City, UT, United States)
Date Acquired
August 10, 2013
Publication Date
February 1, 1982
Publication Information
Publication: Journal of Computational Physics
Volume: 45
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
82A29664
Funding Number(s)
CONTRACT_GRANT: NSG-1534
Distribution Limits
Public
Copyright
Other

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