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Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

The transient temperature field in a composite semi-space resulting from an incident heat flux


Author: P. B. Grimado
Journal: Quart. Appl. Math. 31 (1974), 379-393
DOI: https://doi.org/10.1090/qam/99694
MathSciNet review: QAM99694
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Abstract | References | Additional Information

Abstract: The two-dimensional, transient temperature field in a composite semi-space resulting from an incident heat input is constructed using operational techniques. Examples of the temperature field are presented with general conclusions that allow a qualitative assessment of the temperature distribution given the heat input and thermal properties of the constituent materials.


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  • H. S. Carslaw and J. C. Jaeger, Conduction of heat in solids, 2nd ed., Oxford Science Publications, The Clarendon Press, Oxford University Press, New York, 1988. MR 959730
  • V. R. Thiruvenkatachar and B. S. Ramakrishna, A case of combined radial and axial heat flow in composite cylinders, Quart. Appl. Math. 10 (1952), 255–262. MR 50142, DOI https://doi.org/10.1090/S0033-569X-1952-50142-7
  • I. J. Kumar and V. R. Thiruvenkatachar, Heat flow in a finite composite cylinder by harmonic variation of surface temperature, Indian J. Math. 3, 47–62 (1961) I. J. Kumar, Heat flow in hollow composite cylinders, Proc. Nat. Inst. Sci. India 29, 452–459 (1963) N. Y. Ölcer, On a heat flow problem in a hollow circular cylinder, Proc. Camb. Phil. Soc. 64, 193–202 (1968) N. Y. ölcer, A general class of unsteady heat flow problems in a finite composite hollow circular cylinder, Quart. Appl. Math. 26, 355–371, (1968) N. Y. ölcer, A general unsteady heat flow problem in a finite composite hollow circular cylinder under boundary conditions of the second kind, Nuclear Engr. Des. 7, 97–112 (1968) A. Erdélyi et al., Tables of integral transforms, Vol. 1, McGraw–Hill, New York, 1954
  • Milton Abramowitz and Irene A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series, vol. 55, For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C., 1964. MR 0167642
  • Paul F. Byrd and Morris D. Friedman, Handbook of elliptic integrals for engineers and scientists, Die Grundlehren der mathematischen Wissenschaften, Band 67, Springer-Verlag, New York-Heidelberg, 1971. Second edition, revised. MR 0277773
  • Carl Heuman, Tables of complete elliptic integrals, J. Math. Phys. Mass. Inst. Tech. 20 (1941), 127–206. MR 3572, DOI https://doi.org/10.1002/sapm1941201127
  • L. M. Milne-Thomson, Jacobian elliptic function tables, Dover Publications, Inc., New York, N. Y., 1950. MR 0088071


Additional Information

Article copyright: © Copyright 1974 American Mathematical Society