Abstract
The two-dimensional inverse heat-conduction problem is considered. An algorithm of the solution and the results of a trial computation are presented.
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Abbreviations
- q:
-
heat-flux density
- 0, r, ϕ:
-
polar coordinate system
- R, Rin :
-
radii of the outer and inner cylindrical shell surfaces
- ϕk :
-
greatest value of the variable ϕ
- T:
-
temperature
- λ, α:
-
heat-conduction and thermal diffusivity coeffifcients
- τ :
-
time
- τm :
-
greatest value of the variable τ
- I:
-
rms functional
- f(ϕ, τ):
-
temperature on the inner surface
- P:
-
a control
- ΔT:
-
a temperature increment
- ζ:
-
direction of descent
- β:
-
depth of descent
- ΔFo:
-
Fourier number spacing
Literature cited
O. M. Alifanov, Identification of Heat Transfer Processes of Flying Vehicles (Introduction to the Theory of Inverse Problems) [in Russian], Mashinostroenie, Moscow (1979).
V. N. Brazhko, E. S. Stepanov, and V. F. Formalev, “Method of computing two-dimensional temperature fields in a domain with a moving outer boundary,” Trudy TsAGI, No. 1881, 42–53 (1977).
Yu. V. Polezhaev and F. B. Yurevich, Heat Shielding [in Russian], Énergiya, Moscow (1976).
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 45, No. 5, pp. 752–756, November, 1983.
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Kerov, N.V. Solution of the two-dimensional inverse heat-conduction problem in a cylindrical coordinate system. Journal of Engineering Physics 45, 1245–1249 (1983). https://doi.org/10.1007/BF01254726
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DOI: https://doi.org/10.1007/BF01254726