Characterization of single-blow temperature responses by first moments.

Author:
Gerhard F. Kohlmayr

Journal:
Quart. Appl. Math. **27** (1969), 161-172

MSC:
Primary 80.45; Secondary 35.00

DOI:
https://doi.org/10.1090/qam/250564

MathSciNet review:
250564

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Abstract: Transient temperature response functions, given as analytic solutions of the single-blow problem in transient heat transfer analysis, are characterized by the first moment of the difference between downstream and upstream fluid temperatures. Both the single-blow problem and the corresponding inverse problem are formulated in terms of Volterra integral equations. Monotonicity and boundedness properties of the response functions are derived. It is shown that the first moment of the temperature difference is well suited for an indirect solution of the curve matching problem.

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Additional Information

DOI:
https://doi.org/10.1090/qam/250564

Article copyright:
© Copyright 1969
American Mathematical Society