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Mathematics of Computation

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An eigenvalue problem arising in mass and heat transfer studies


Author: J. S. Dranoff
Journal: Math. Comp. 15 (1961), 403-409
MSC: Primary 34.30
DOI: https://doi.org/10.1090/S0025-5718-1961-0130419-1
MathSciNet review: 0130419
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    S. Katz, “Chemical reactions catalyzed on a tube wall,” Chem. Eng. Sci. v. 10, 1959, p. 202. L. Graetz, “Uber die Warmeleitungs fahigkeit von Flussigkeiten,” Ann. Physik, v. 18, 1883, p. 79. G. M. Brown, “Heat or mass transfer in a fluid in laminar flow in a circular or flat conduit,” A. I. Ch. E. J., v. 6, 1960, p. 179. J. B. Sellars, M. Tribus, & J. S. Klein, “Heat transfer to laminar flow in a round tube or flat conduit—the Graetz problem extended,” Trans. A. S. M. E., v. 78, 1956, p. 441.
  • F. B. Hildebrand, Introduction to numerical analysis, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1956. MR 0075670
  • R. Siegel, E. M. Sparrow, and T. M. Hallman, Steady laminar heat transfer in a circular tube with prescribed wall heat flux, Appl. Sci. Res. A 7 (1958), 386–392. MR 92567, DOI https://doi.org/10.1007/bf03184999

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Article copyright: © Copyright 1961 American Mathematical Society