Abstract
By a standard application of Jones's method associated with the Wiener-Hopf technique an explicit solution is obtained for the temperature distribution inside a cylindrical rod with an insulated inner core when the rod is allowed to enter into a fluid of large extent with a uniform speed, and a simple integral expression is derived for the value of the sputtering temperature of the rod at the points of entry. Numerical results under certain special circumstances are also obtained and presented in the form of a table.
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References
R.E. Caflisch and J.B. Keller, Quench Front Propagation, Nuclear Engineering and Design 65 (1981) 97–102.
D.V. Evans, A Note on the Cooling of a Cylinder Entering a Fluid, IMA Journal of Applied Mathematics 33 (1984) 49–54.
D.S. Jones, Electromagnetic Theory, Pergamon, London (1964).
D.S. Jones, Methods in Electromagnetic Wave Propagation, Oxford, Clarendon (1979).
H. Levine, On a mixed boundary value problem of diffusion type, Applied Scientific Research 39 (1982) 261–276.
B. Noble, Methods based on the Wiener-Hopf Technique, Pergamon, London (1958).
W.E. Williams and A. Chakrabarti, Reflection at a Discontinuity in a Transmission Line, IMA Journal of Applied Mathematics 28 (1982) 185–195.
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Chakrabarti, A. The sputtering temperature of a cooling cylindrical rod with an insulated core. Appl. Sci. Res. 43, 107–113 (1986). https://doi.org/10.1007/BF00386038
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DOI: https://doi.org/10.1007/BF00386038