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Analytical Solutions for Transient Heat Conduction Problems in Axis-Symmetric Domains.

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Title: Analytical Solutions for Transient Heat Conduction Problems in Axis-Symmetric Domains.
Authors: Stein, Shahab1, Brenner, Gunther1
Source: ASME Journal of Heat & Mass Transfer. Apr2026, Vol. 148 Issue 4, p1-8. 8p.
Subjects: Heat conduction, Global temperature changes, Periodic table of the elements, Heat transfer, Quantum conduction
Abstract: This study presents analytical solutions for transient heat conduction problems in axisymmetric domains. A stepped temperature change and a time-periodic temperature are specified as boundary conditions. The resulting temperature field is obtained as a linear superposition of two distinct components: a transient contribution arising from an initial thermal step and a periodic steady-state component. Each solution is obtained separately using appropriate nondimensional scaling. The spatial and temporal evolution of the temperature fields are examined with particular focus on the thermal penetration depth. Analytical solutions of such heat conduction problems are well known for plane domains and for stationary problems. However, transient and axisymmetric configurations are more complex due to the coupled dependence of temperature on both radial position and time, requiring more elaborate mathematical treatment. In doing so, the present work complements existing eigenfunction-based approaches by providing closed-form, fully nondimensional solutions for transient and time-periodic heat conduction in axisymmetric cylindrical domains. [ABSTRACT FROM AUTHOR]
Copyright of ASME Journal of Heat & Mass Transfer is the property of American Society of Mechanical Engineers and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 192362150
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: Analytical Solutions for Transient Heat Conduction Problems in Axis-Symmetric Domains.
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  Data: <searchLink fieldCode="AR" term="%22Stein%2C+Shahab%22">Stein, Shahab</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Brenner%2C+Gunther%22">Brenner, Gunther</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22ASME+Journal+of+Heat+%26+Mass+Transfer%22">ASME Journal of Heat & Mass Transfer</searchLink>. Apr2026, Vol. 148 Issue 4, p1-8. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Heat+conduction%22">Heat conduction</searchLink><br /><searchLink fieldCode="DE" term="%22Global+temperature+changes%22">Global temperature changes</searchLink><br /><searchLink fieldCode="DE" term="%22Periodic+table+of+the+elements%22">Periodic table of the elements</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+transfer%22">Heat transfer</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+conduction%22">Quantum conduction</searchLink>
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  Label: Abstract
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  Data: This study presents analytical solutions for transient heat conduction problems in axisymmetric domains. A stepped temperature change and a time-periodic temperature are specified as boundary conditions. The resulting temperature field is obtained as a linear superposition of two distinct components: a transient contribution arising from an initial thermal step and a periodic steady-state component. Each solution is obtained separately using appropriate nondimensional scaling. The spatial and temporal evolution of the temperature fields are examined with particular focus on the thermal penetration depth. Analytical solutions of such heat conduction problems are well known for plane domains and for stationary problems. However, transient and axisymmetric configurations are more complex due to the coupled dependence of temperature on both radial position and time, requiring more elaborate mathematical treatment. In doing so, the present work complements existing eigenfunction-based approaches by providing closed-form, fully nondimensional solutions for transient and time-periodic heat conduction in axisymmetric cylindrical domains. [ABSTRACT FROM AUTHOR]
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  Group: Ab
  Data: <i>Copyright of ASME Journal of Heat & Mass Transfer is the property of American Society of Mechanical Engineers and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1115/1.4071032
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 8
        StartPage: 1
    Subjects:
      – SubjectFull: Heat conduction
        Type: general
      – SubjectFull: Global temperature changes
        Type: general
      – SubjectFull: Periodic table of the elements
        Type: general
      – SubjectFull: Heat transfer
        Type: general
      – SubjectFull: Quantum conduction
        Type: general
    Titles:
      – TitleFull: Analytical Solutions for Transient Heat Conduction Problems in Axis-Symmetric Domains.
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            NameFull: Stein, Shahab
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              M: 04
              Text: Apr2026
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              Y: 2026
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              Value: 148
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