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Analytical solutions of the equation of heat conduction for a non‐homogeneous medium
Author(s) -
Heaps H. S.,
Srivastava R. D.
Publication year - 1964
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450420307
Subject(s) - homogeneity (statistics) , homogeneous , thermal conduction , series (stratigraphy) , heat equation , position (finance) , mathematical analysis , mathematics , thermodynamics , physics , geology , statistics , economics , paleontology , finance
Consideration is given to the equation of heat conduction when the parameters are functions of position. A solution is obtained in the form of an infinite series in which the first term represents the solution for homogeneous material. The further terms of the series represent correction terms caused by the departure from homogeneity. Two illustrative examples are described.