Heat transfer for the flow through a pipe
Author:
D. Y. Kasture
Journal:
Quart. Appl. Math. 49 (1991), 635-637
MSC:
Primary 76D99; Secondary 80A20
DOI:
https://doi.org/10.1090/qam/1134745
MathSciNet review:
MR1134745
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Abstract: The heat flux per unit length through the wall of a straight pipe of arbitrary but uniform cross section is shown to be the product of the constant pressure gradient and the volume flux, when a steady Poiseuille flow of a viscous incompressible fluid is maintained through it, and its wall is kept at a constant temperature. Bounds on the heat flux are obtained using the methods of isoperimetric inequalities.
- Catherine Bandle, Isoperimetric inequalities and applications, Monographs and Studies in Mathematics, vol. 7, Pitman (Advanced Publishing Program), Boston, Mass.-London, 1980. MR 572958
J. L. Bansal, Viscous Fluid Dynamics, Oxford and I. B. H. Co., Calcutta, India, 1977
E. M. Sparrow and A. Haji Sheikh, Flow and heat transfer in ducts of arbitrary shape with arbitrary thermal boundary conditions, Trans. ASME Ser. C. J. Heat Transfer 88 (4), 351–358 (1966)
F. White, Viscous Fluid Flow, McGraw-Hill, New York, 1974, p. 118
C. Bandle, Isoperimetric Inequalities and Applications, Pitman, New York, 1980
J. L. Bansal, Viscous Fluid Dynamics, Oxford and I. B. H. Co., Calcutta, India, 1977
E. M. Sparrow and A. Haji Sheikh, Flow and heat transfer in ducts of arbitrary shape with arbitrary thermal boundary conditions, Trans. ASME Ser. C. J. Heat Transfer 88 (4), 351–358 (1966)
F. White, Viscous Fluid Flow, McGraw-Hill, New York, 1974, p. 118
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Article copyright:
© Copyright 1991
American Mathematical Society