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 nist-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