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    Unsteady Effects on the Experimental Determination of Overall Effectiveness

    Source: Journal of Turbomachinery:;2018:;volume 140:;issue 012::page 121005
    Author:
    Rutledge, James L.
    ,
    Baker, William P.
    DOI: 10.1115/1.4041233
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An increasingly common experimental method allows determination of the overall effectiveness of a film cooled turbine component. This method requires the Biot number of the experimental model to match that of the engine component such that the nondimensional surface temperature, ϕ, is matched to that of the engine component. The matched Biot number requirement effectively places a requirement on the thermal conductivity of the model and the traditional implementation places no requirement on the model's density or specific heat. However, such is not the case if such a model is exposed to unsteadiness in the flow such as with film cooling unsteadiness. In this paper, we develop an additional nondimensional parameter that must also be theoretically matched to conduct overall effectiveness experiments with unsteady film cooling. Since finding suitable materials with an acceptable combination of thermodynamic properties for a typical low temperature experiment can be difficult, simulations were conducted to determine the impact of imperfectly matched parameters achievable with common materials. Because the disparity between the diffusion and the unsteadiness time scales can hinder numerical simulation, a novel analytical solution to the heat equation with relevant unsteady Robin type boundary conditions is developed. Particular solutions are examined to determine the sensitivity of the temperature response of a turbine blade (or a model of one) to its material properties and the form of the unsteady variation in the convection parameters. It is shown that it is possible to obtain useful experimental results even with imperfectly matched parameters.
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      Unsteady Effects on the Experimental Determination of Overall Effectiveness

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    contributor authorRutledge, James L.
    contributor authorBaker, William P.
    date accessioned2019-02-28T11:09:51Z
    date available2019-02-28T11:09:51Z
    date copyright10/15/2018 12:00:00 AM
    date issued2018
    identifier issn0889-504X
    identifier otherturbo_140_12_121005.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4253355
    description abstractAn increasingly common experimental method allows determination of the overall effectiveness of a film cooled turbine component. This method requires the Biot number of the experimental model to match that of the engine component such that the nondimensional surface temperature, ϕ, is matched to that of the engine component. The matched Biot number requirement effectively places a requirement on the thermal conductivity of the model and the traditional implementation places no requirement on the model's density or specific heat. However, such is not the case if such a model is exposed to unsteadiness in the flow such as with film cooling unsteadiness. In this paper, we develop an additional nondimensional parameter that must also be theoretically matched to conduct overall effectiveness experiments with unsteady film cooling. Since finding suitable materials with an acceptable combination of thermodynamic properties for a typical low temperature experiment can be difficult, simulations were conducted to determine the impact of imperfectly matched parameters achievable with common materials. Because the disparity between the diffusion and the unsteadiness time scales can hinder numerical simulation, a novel analytical solution to the heat equation with relevant unsteady Robin type boundary conditions is developed. Particular solutions are examined to determine the sensitivity of the temperature response of a turbine blade (or a model of one) to its material properties and the form of the unsteady variation in the convection parameters. It is shown that it is possible to obtain useful experimental results even with imperfectly matched parameters.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleUnsteady Effects on the Experimental Determination of Overall Effectiveness
    typeJournal Paper
    journal volume140
    journal issue12
    journal titleJournal of Turbomachinery
    identifier doi10.1115/1.4041233
    journal fristpage121005
    journal lastpage121005-10
    treeJournal of Turbomachinery:;2018:;volume 140:;issue 012
    contenttypeFulltext
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