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Applications of Mathematical Heat Transfer and Fluid Flow Models in Engineering and Medicine
ISBN:
9781119320562
No. of Pages:
456
Publisher:
ASME Press
Publication date:
2017
eBook Chapter
1 Universal Functions for Nonisothermal and Conjugate Heat Transfer
Page Count:
44
-
Published:2017
Citation
Dorfman, AS. "Universal Functions for Nonisothermal and Conjugate Heat Transfer." Applications of Mathematical Heat Transfer and Fluid Flow Models in Engineering and Medicine. Ed. Dorfman, AS. ASME Press, 2017.
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As it follows from the above discussion, the domain of any conjugate problem consists at least of two subdomains according to the interaction components. Therefore, to formulate conjugate problem, it is necessary to specify two sets of equations: initial and boundary conditions governing the problem in each of subdomains in order to further conjugation of the corresponding solutions.
1.1
Formulation of Conjugate Heat Transfer Problem
1.2Methods of Conjugation
1.3Integral Universal Function (Duhamel’s Integral)
1.4Differential Universal Function (Series of Derivatives)
1.5General Forms of Universal Function
1.6Coefficients gk and Exponents C1 and C2 for Laminar Flow
1.7Universal Functions for Turbulent Flow
1.8Universal Functions for Compressible Low
1.9Universal Functions for Power-Law Non-Newtonian Fluids
1.10Universal Functions for Moving Continuous Sheet
1.11Universal Functions for a Plate with Arbitrary Unsteady Temperature Distribution
1.12Universal Functions for an Axisymmetric Body
1.13Inverse Universal Function
1.14Universal Function for Recovery Factor
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