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    The Inverse Problem in Transient Heat Conduction

    Source: Journal of Applied Mechanics:;1964:;volume( 031 ):;issue: 003::page 369
    Author:
    E. M. Sparrow
    ,
    A. Haji-Sheikh
    ,
    T. S. Lundgren
    DOI: 10.1115/1.3629649
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A general theory is devised for determining the temperature and heat flux at the surface of a solid when the temperature at an interior location is a prescribed function of time. The theory is able to accommodate an initial temperature distribution which varies arbitrarily with position throughout the solid. Detailed analytical treatment is extended to the sphere, the plane slab, and the long cylinder; and it is additionally shown that the semi-infinite solid is a particular case of the general formulation. The accuracy of the method is demonstrated by a numerical example. In addition, a numerical calculation procedure is devised which appears to provide smooth, nonoscillatory results.
    keyword(s): Heat conduction , Inverse problems , Transient heat , Temperature , Heat flux , Temperature distribution , Slabs AND Cylinders ,
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      The Inverse Problem in Transient Heat Conduction

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/97711
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    • Journal of Applied Mechanics

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    contributor authorE. M. Sparrow
    contributor authorA. Haji-Sheikh
    contributor authorT. S. Lundgren
    date accessioned2017-05-08T23:16:34Z
    date available2017-05-08T23:16:34Z
    date copyrightSeptember, 1964
    date issued1964
    identifier issn0021-8936
    identifier otherJAMCAV-25773#369_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/97711
    description abstractA general theory is devised for determining the temperature and heat flux at the surface of a solid when the temperature at an interior location is a prescribed function of time. The theory is able to accommodate an initial temperature distribution which varies arbitrarily with position throughout the solid. Detailed analytical treatment is extended to the sphere, the plane slab, and the long cylinder; and it is additionally shown that the semi-infinite solid is a particular case of the general formulation. The accuracy of the method is demonstrated by a numerical example. In addition, a numerical calculation procedure is devised which appears to provide smooth, nonoscillatory results.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThe Inverse Problem in Transient Heat Conduction
    typeJournal Paper
    journal volume31
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3629649
    journal fristpage369
    journal lastpage375
    identifier eissn1528-9036
    keywordsHeat conduction
    keywordsInverse problems
    keywordsTransient heat
    keywordsTemperature
    keywordsHeat flux
    keywordsTemperature distribution
    keywordsSlabs AND Cylinders
    treeJournal of Applied Mechanics:;1964:;volume( 031 ):;issue: 003
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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