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Transient Analysis of a Circular Foil Gage in a Convective and Radiative Environment



Jiann C. Yang


An analysis of a circular thin-foil gage is presented by including transient effect, convective heat transfer, and arbitrary time-varying boundary condition at the foil edge to account for fluctuation in cooling water temperature. The governing energy equation is solved using Laplace transform to obtain temporal and spatial temperature distribution of the foil. Under constant temperature at the foil edge and constant thermal radiative heat flux, closed-form response curves for the gage under various modes of heat transfer are provided. Steady-state results are also presented as limiting cases.
International Journal of Thermal Sciences


Heat conduction, heat convection, heat flux gage, thermal radiation


Yang, J. (2018), Transient Analysis of a Circular Foil Gage in a Convective and Radiative Environment, International Journal of Thermal Sciences, [online], (Accessed May 28, 2024)


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Created May 29, 2018, Updated June 2, 2021