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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Description

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.

Physical Description

9 pages ; illustrations.

Notes

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

The Technical Report Archive & Image Library (TRAIL) identifies, acquires, catalogs, digitizes and provides unrestricted access to U.S. government agency technical reports. The mission of TRAIL is to ensure preservation, discoverability, and persistent open access to government technical publications regardless of form or format.

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Imaged from microcard, these technical reports describe research performed for U.S. government agencies from the 1930s to the 1960s. The reports were provided by the Technical Report Archive and Image Library (TRAIL).

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Creation Date

  • August 20, 1963

Added to The UNT Digital Library

  • 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 February 22, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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