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Heat transfer in multi-layered media with temperature dependent sources

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Summary

The paper describes a theoretical investigation of heat transfer in stratified horizontal slab and spherical shell containing temperature dependent heat sources. The desired expressions of temperatures contain only ordinary functions suitable for high speed computation. The results can find applications in defining the local and global temperature distributions in the earth's crust.

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References

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    F. Birch,Speculations on the earth's thermal history, Geol. Soc. Am. Bull.76 (1965), 133.

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    H. S. Carslaw andJ. C. Jaeger,Conduction of heat in solids, 2nd ed. (Oxford Univ. Press 1959).

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    H. N. Pollack,Steady state heat conduction in layered mediums: The half space and sphere, J. Geophys. Res.70 (1965), 5645.

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Negi, J.G., Singh, R.N. Heat transfer in multi-layered media with temperature dependent sources. PAGEOPH 69, 110–118 (1968). https://doi.org/10.1007/BF00874909

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Keywords

  • Heat Transfer
  • Temperature Distribution
  • Heat Source
  • Theoretical Investigation
  • Spherical Shell