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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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?)

  • [1] H. Hausen, Über die Theorie des Wärmeaustausches in Regeneratoren (On the theory of heat exchange in regenerators), Z. angew. Math. Mech. (3) 9, 173-200 (1929)
  • [2] T. E. W. Schumann, Heat transfer: a liquid flowing through a porous prism, J. Franklin Inst. 208, 405 (1929)
  • [3] G. L. Locke, Heat transfer and flow friction characteristics of porous solids, TR No. 10, Department of Mechanical Engineering, Stanford University, California (June 1950)
  • [4] M. Jakob, Heat transfer, vol. 2, Wiley, New York, 1957, pp. 261-341
  • [5] G. F, Kohlmayr, Exact maximum slopes for transient matrix heat-transfer testing, Int. J. Heat Mass Transfer 9, 671 (1966)
  • [6] P. F. Pucci, C. P. Howard, and C. H. Piersall, Jr., The single-blow transient testing technique for compact heat exchanger surfaces, J. of Engineering for Power, Trans. ASME, Series A (1), 89, 29-40 (1967)
  • [7] G. F. Kohlmayr, Extension of the maximum slope method to arbitrary upstream temperature changes, J. Heat Transfer, Trans. ASME, Series C (1), 90, 130-134 (1968)
  • [8] G. F. Kohlmayr, Analytical solution of the single-blow problem by a double Laplace transform method, J. Heat Transfer, Trans. ASME, Series C (1), 90, 176-178 (1968)
  • [9] G. F. Kohlmayr, Properties of the transient heat transfer (single-blow) temperature response function, AIChE Journal 14, 499-501 (1968)
  • [10] J. A. Shohat and J. D. Tamarkin, The Problem of Moments, American Mathematical Society Mathematical surveys, vol. I, American Mathematical Society, New York, 1943. MR 0008438
  • [11] David Vernon Widder, The Laplace Transform, Princeton Mathematical Series, v. 6, Princeton University Press, Princeton, N. J., 1941. MR 0005923
  • [12] Lothar Berg, Introduction to the operational calculus, Translation by Veneda Publishing Company, Ltd., Oxford. North-Holland Series on Applied Mathematics and Mechanics, Vol. 2, North-Holland Publishing Co., Amsterdam; Interscience Publishers John Wiley & Sons Inc., New York, 1967. MR 0220009
  • [13] G. F. Kohlmayr, An indirect curve matching method for transient matrix heat-transfer testing in the low $ N_{tu}^ - $ range, Int. J. Heat Mass Transfer 11, 567 (1968)

Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC: 80.45, 35.00

Retrieve articles in all journals with MSC: 80.45, 35.00


Additional Information

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


Brown University The Quarterly of Applied Mathematics
is distributed by the American Mathematical Society
for Brown University
Online ISSN 1552-4485; Print ISSN 0033-569X
© 2017 Brown University
Comments: qam-query@ams.org
AMS Website