Approximate Models for Distributed-Parameter Heat-Transfer Systems

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Summary: The use of dimensionless-parameter frequency response diagrams to determine accuracies of lumped-parameter approximations is demonstrated by two examples: calculation of the heat flux at the surface of a semi-infinite solid due to temperature fluctuations of an adjacent fluid; and the response of a counterflow heat exchanger to inlet fluid temperature perturbations. Dimensionless system parameters make it possible to use general-purpose plots to find the error in particular approximations as a function of the frequency of perturbation. Such plots are directly applicable to control-system stability problems, where the highest frequency of interest is usually apparent.

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9 pages ; illustrations.

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Ball, S. J. August 20, 1963.

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Summary: The use of dimensionless-parameter frequency response diagrams to determine accuracies of lumped-parameter approximations is demonstrated by two examples: calculation of the heat flux at the surface of a semi-infinite solid due to temperature fluctuations of an adjacent fluid; and the response of a counterflow heat exchanger to inlet fluid temperature perturbations. Dimensionless system parameters make it possible to use general-purpose plots to find the error in particular approximations as a function of the frequency of perturbation. Such plots are directly applicable to control-system stability problems, where the highest frequency of interest is usually apparent.

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9 pages ; illustrations.

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Digitized from microopaque cards.

Reprint of technical paper from the 1963 Joint Automatic Control Conference.

Includes bibliographical references (pages 8-9)

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  • Report No.: CONF-165-1
  • Grant Number: W-7405-eng–26
  • SuDoc Number: Y 3.At 7:22/CONF-165-1
  • Accession or Local Control No: metadc1201699
  • Archival Resource Key: ark:/67531/metadc1201699

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Technical Report Archive and Image Library

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  • August 20, 1963

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  • Feb. 9, 2020, 2:12 p.m.

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  • April 1, 2020, 4:07 p.m.

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Ball, S. J. Approximate Models for Distributed-Parameter Heat-Transfer Systems, report, August 20, 1963; Oak Ridge, Tennessee.. (https://digital.library.unt.edu/ark:/67531/metadc1201699/: accessed January 22, 2025), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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