Condition-convection from a cylindrical source with increasing radius
Author:
H. R. Bailey
Journal:
Quart. Appl. Math. 18 (1961), 325-333
MSC:
Primary 80.00
DOI:
https://doi.org/10.1090/qam/121075
MathSciNet review:
121075
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Abstract: The problem of heat flow by conduction and convection from a cylindrical source with increasing radius is solved. A quasi stationary state solution is obtained for the case of a finite convection coefficient and with the radius increasing at a constant velocity. A transient solution is obtained for the case of an infinite convection coefficient and with the radius increasing at a rate proportional to the square root of time.
- H. R. Bailey, Heat conduction from a cylindrical source with increasing radius, Quart. Appl. Math. 17 (1959), 255–261. MR 106694, DOI https://doi.org/10.1090/S0033-569X-1959-0106694-3
H. R. Bailey, and B. K. Larkin, Heat conduction in underground combustion, Trans. Am. Inst. Mining, Met. and Pet. Engrs. 216, 123–129 (1959)
H. R. Bailey, and B. K. Larkin, Conduction-convection in under-ground combustion, AIChE SPE Joint Symposium on Oil Recovery Methods, Dee. 1959
- D. R. Bland, Mathematical theory of the flow of a gas in a porous solid and of the associated temperature distributions, Proc. Roy. Soc. London Ser. A 221 (1954), 1–28. MR 60968, DOI https://doi.org/10.1098/rspa.1954.0001
- J. Crank, The mathematics of diffusion, Oxford, at the Clarendon Press, 1956. MR 0082827
A. Erdélyi, Tables of integral transforms, vol. 2, Bateman Manuscript Project, McGraw-Hill, New York, 1954, p. 51
Max. Jacob, Heat transfer, vol. I, Wiley, New York, 1949, pp. 343–52.
K. Pearson, Tables of incomplete gamma functions, University College, 1934
H. J. Ramey, Transient heat conduction during radial movement of a cylindrical source-applications to the thermal recovery process, Trans. Am. Inst. Mining, Met. and Pet. Engrs. 216 (1959).
- Ian N. Sneddon, Fourier Transforms, McGraw-Hill Book Co., Inc., New York, Toronto, London, 1951. MR 0041963
- G. N. Watson, A treatise on the theory of Bessel functions, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1995. Reprint of the second (1944) edition. MR 1349110
H. R. Bailey, Heat conduction from a cylindrical source with increasing radius, Quart. Appl. Math. 17, 255–261 (1959)
H. R. Bailey, and B. K. Larkin, Heat conduction in underground combustion, Trans. Am. Inst. Mining, Met. and Pet. Engrs. 216, 123–129 (1959)
H. R. Bailey, and B. K. Larkin, Conduction-convection in under-ground combustion, AIChE SPE Joint Symposium on Oil Recovery Methods, Dee. 1959
D. R. Bland, Mathematical theory of the flow of a gas in a porous solid and of the associated temperature distributions, Proc. Roy. Soc. (London) C221, 1–28 (1954)
J. Crank, The mathematics of diffusion, Oxford Press, 1956
A. Erdélyi, Tables of integral transforms, vol. 2, Bateman Manuscript Project, McGraw-Hill, New York, 1954, p. 51
Max. Jacob, Heat transfer, vol. I, Wiley, New York, 1949, pp. 343–52.
K. Pearson, Tables of incomplete gamma functions, University College, 1934
H. J. Ramey, Transient heat conduction during radial movement of a cylindrical source-applications to the thermal recovery process, Trans. Am. Inst. Mining, Met. and Pet. Engrs. 216 (1959).
I. N. Sneddon, Fourier transforms, McGraw-Hill, New York, 1951, p. 61
G. N. Watson, A treatise on the theory of Bessel functions, Cambridge Univ. Press, 1948, p. 394
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Article copyright:
© Copyright 1961
American Mathematical Society
