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    Spectral Heat Transfer Coefficient for Thermal Design Analysis—Part II: Leveraging Diabatic Wall Conditioning for Nonlinear Regime

    Source: Journal of Turbomachinery:;2024:;volume( 147 ):;issue: 006::page 61002-1
    Author:
    He, L.
    DOI: 10.1115/1.4066672
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: There are two main issues of interest in the context of Newton's law of cooling as applied to turbine aerothermal designs. First, in a linear aerothermal regime in which both the conventional wisdom in general and the law of cooling in particular are notionally established, how do we deal with a non-isothermal wall where the wall surface temperature is non-uniform? Secondly, what can we do if an aerothermal system becomes nonlinear, manifested by qualitatively large changes in the flow field affected by heat transfer? In Part 1, a new spectral heat transfer coefficient (SHTC) method has been introduced for blade thermal analysis subject to non-isothermal walls in a linear aerothermal regime. It has been demonstrated definitively that the SHTC approach enables markedly more accurate thermal design analyses of a solid temperature field than the conventional method. Part II is devoted to address the issue of nonlinearity when the temperature field actively interacts with the velocity field as in many practical aerothermal problems. It is noted that the conventional approach rests heavily on an adiabatic state, so much so that its working range becomes overly restrictive. To move away from the adiabatic state, we take advantage of a smooth (“differentiable”) heat flux-wall temperature relation afforded by strong solid diffusion. A local linearization can be utilized by decomposing a full thermal variable into a nonlinear base as the reference and a locally linear perturbation. This split enables us to directly compute a nonlinear base as well as to carry out a linearized scaling with the SHTC (or HTC for isothermal wall) on top of the selected nonlinear aerothermal base state. The framework method has been implemented with relatively minor changes to the linear SHTC scaling method as presented in Part 1. The results of the present computational case studies clearly and consistently support the validity and effectiveness of the present approach.
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      Spectral Heat Transfer Coefficient for Thermal Design Analysis—Part II: Leveraging Diabatic Wall Conditioning for Nonlinear Regime

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    contributor authorHe, L.
    date accessioned2025-04-21T10:00:58Z
    date available2025-04-21T10:00:58Z
    date copyright11/14/2024 12:00:00 AM
    date issued2024
    identifier issn0889-504X
    identifier otherturbo_147_6_061002.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4305319
    description abstractThere are two main issues of interest in the context of Newton's law of cooling as applied to turbine aerothermal designs. First, in a linear aerothermal regime in which both the conventional wisdom in general and the law of cooling in particular are notionally established, how do we deal with a non-isothermal wall where the wall surface temperature is non-uniform? Secondly, what can we do if an aerothermal system becomes nonlinear, manifested by qualitatively large changes in the flow field affected by heat transfer? In Part 1, a new spectral heat transfer coefficient (SHTC) method has been introduced for blade thermal analysis subject to non-isothermal walls in a linear aerothermal regime. It has been demonstrated definitively that the SHTC approach enables markedly more accurate thermal design analyses of a solid temperature field than the conventional method. Part II is devoted to address the issue of nonlinearity when the temperature field actively interacts with the velocity field as in many practical aerothermal problems. It is noted that the conventional approach rests heavily on an adiabatic state, so much so that its working range becomes overly restrictive. To move away from the adiabatic state, we take advantage of a smooth (“differentiable”) heat flux-wall temperature relation afforded by strong solid diffusion. A local linearization can be utilized by decomposing a full thermal variable into a nonlinear base as the reference and a locally linear perturbation. This split enables us to directly compute a nonlinear base as well as to carry out a linearized scaling with the SHTC (or HTC for isothermal wall) on top of the selected nonlinear aerothermal base state. The framework method has been implemented with relatively minor changes to the linear SHTC scaling method as presented in Part 1. The results of the present computational case studies clearly and consistently support the validity and effectiveness of the present approach.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleSpectral Heat Transfer Coefficient for Thermal Design Analysis—Part II: Leveraging Diabatic Wall Conditioning for Nonlinear Regime
    typeJournal Paper
    journal volume147
    journal issue6
    journal titleJournal of Turbomachinery
    identifier doi10.1115/1.4066672
    journal fristpage61002-1
    journal lastpage61002-13
    page13
    treeJournal of Turbomachinery:;2024:;volume( 147 ):;issue: 006
    contenttypeFulltext
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