Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



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.

References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/250564
Article copyright: © Copyright 1969 American Mathematical Society

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