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Green's function solution to heat transfer of a transparent gas through a tubeA heat transfer analysis of a transparent gas flowing through a circular tube of finite thickness is presented. This study includes the effects of wall conduction, internal radiative exchange, and convective heat transfer. The natural mathematical formulation produces a nonlinear, integrodifferential equation governing the wall temperature and an ordinary differential equation describing the gas temperature. This investigation proposes to convert the original system of equations into an equivalent system of integral equations. The Green's function method permits the conversion of an integrodifferential equation into a pure integral equation. The proposed integral formulation and subsequent computational procedure are shown to be stable and accurate.
Document ID
19900033220
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Frankel, J. I.
(Florida Institute of Technology Melbourne, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1989
Publication Information
Publication: Numerical Heat Transfer, Part B: Fundamentals
Volume: 16
Issue: 2 19
ISSN: 1040-7790
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
90A20275
Funding Number(s)
CONTRACT_GRANT: NAG8-109
Distribution Limits
Public
Copyright
Other

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