Abstract
We present a method for solving linear heat-conduction problems in regions bounded by a noncanonical contour. The method is based on extending the noncanonical contour to a contour imbedded in the grid of classical coordinate systems.
Similar content being viewed by others
Literature cited
I. E. Zino, Problems of the Theory of Transport Processes [in Russian], Minsk (1977), pp. 35–43.
L. V. Kantorovich and V. N. Krylov, Approximate Methods of Higher Analysis, Interscience, New York (1958).
A. V. Lykov, Theory of Thermal Conductivity [in Russian], Moscow (1967).
B. P. Demidovich, I. A. Maron, and E. Z. Shuvalova, Numerical Methods of Analysis [in Russian], Moscow (1969).
D. K. Faddeev and V. N. Faddeva, Computational Methods of Linear Algebra, W. H. Freeman & Co., San Francisco (1963).
V. P. Il'in, Numerical Methods of Solving Electrooptics Problems [in Russian], Novosibirsk (1974).
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 53, No. 4, pp. 659–662, October, 1987.
Rights and permissions
About this article
Cite this article
Baryshnikov, I.V., Datskovskii, V.A. Approximate analytical solution of linear heat-conduction problems in regions with noncanonical boundaries. Journal of Engineering Physics 53, 1213–1216 (1987). https://doi.org/10.1007/BF00872458
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00872458