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
Full-text PDF Free Access
Abstract |
References |
Similar Articles |
Additional Information
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
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
76D99,
80A20
Retrieve articles in all journals
with MSC:
76D99,
80A20
Additional Information
Article copyright:
© Copyright 1991
American Mathematical Society
