Abstract
The analytical solution of a nonlinear nonstationary inverse problem of heat conduction for a bodies with low heat conduction coefficients of one-dimensional geometry is presented. The solutions obtained make it possible to restore the boundary conditions rather exactly using the results of heat flux measurements.
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Beck, J.V., Blackwell, B., and St. Clair, C.R., Inverse Heat Conduction. Ill-Posed Problems, John Wiley and Sons, 1985.
Temkin, A.G., Obratnye zadachi teploprovodnosti (Inverse Problems of Heat Conduction), Moscow: Energiya, 1973.
Lobanov, I.E. and Dotsenko, A.I., Influence of a Carbon Layer on the Combustion Chamber Surfaces on the Working Fluid Parameters, Mekhanizatsiya Stroitel’stva, 2009, no.5, pp. 23–26.
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Original Russian Text © I.E. Lobanov, 2010, published in Izvestiya VUZ. Aviatsionnaya Tekhnika, 2010, No.3, pp. 72–74.
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Lobanov, I.E. Exact analytical solutions of a nonlinear nonstationary inverse problem of heat conduction for a body with low heat conduction coefficient. Russ. Aeronaut. 53, 353–357 (2010). https://doi.org/10.3103/S1068799810030189
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DOI: https://doi.org/10.3103/S1068799810030189