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The Finite Analytic Method for steady and unsteady heat transfer problemsA new numerical method called the Finite Analytical Method for solving partial differential equations is introduced. The basic idea of the finite analytic method is the incorporation of the local analytic solution in obtaining the numerical solution of the problem. The finite analytical method first divides the total region of the problem into small subregions in which local analytic solutions are obtained. Then an algebraic equation is derived from the local analytic solution for each subregion relating an interior nodal value at a point P in the subregion to its neighboring nodal values. The assembly of all the local analytic solutions thus provides the finite-analytic numerical solution of the problem. In this paper the finite analytic method is illustrated in solving steady and unsteady heat transfer problems.
Document ID
19800063859
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Chen, C.-J.
(Iowa, University Iowa City, Iowa, United States)
Li, P.
(Ford Scientific Research Laboratory Dearborn, Mich., United States)
Date Acquired
August 10, 2013
Publication Date
July 1, 1980
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
ASME PAPER 80-HT-86
Meeting Information
Meeting: Joint National Heat Transfer Conference
Location: Orlando, FL
Start Date: July 27, 1980
End Date: July 30, 1980
Sponsors: American Society of Mechanical Engineers and American Institute of Chemical Engineers
Accession Number
80A48029
Funding Number(s)
CONTRACT_GRANT: DAAG29-78-G-0120
CONTRACT_GRANT: NSG-3305
Distribution Limits
Public
Copyright
Other

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