Abstract
The method of determining the temperature gradient at the boundary of a semi-infinite region proposed earlier for linear problems [1–3] is outlined as it applies to a nonlinear problem.
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Abbreviations
- Dυ :
-
fractional-differentiation symbol
- T:
-
temperature
- q:
-
temperature gradient
- k:
-
parameter characterizing heat-transfer rate-, x, t, coordinate and time
- α, β, γ :
-
coefficients of general heat-conduction equation
- α:
-
constant
- s:
-
surface
Literature cited
Yu. I. Babenko, “Use of fractional derivatives in problems of heat-transfer theory,” in: Heat and Mass Transfer [in Russian], Vol. 8, Institute of Heat and Mass Transfer, Academy of Sei. BSSR, Minsk (1972), pp. 541–544.
Yu. I. Babenko, “Heat transfer in semi-infinite region with a boundary moving according to an arbitrary law,” Prikl. Mat. Mekh.,39, No. 6, 1143–1145 (1975).
Yu. I. Babenko, “Nonsteady heat transfer from cylinder with blowing,” Inzh.-Fiz. Zh.,34, No. 5, 923–927 (1978).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 39, No. 1, pp. 143–147, July, 1980.
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Babenko, Y.I. Nonsteady heat transfer in semi-infinite region with nonlinear heat-absorption law. Journal of Engineering Physics 39, 816–819 (1980). https://doi.org/10.1007/BF00821843
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DOI: https://doi.org/10.1007/BF00821843