Abstract
Recently unsteady heating of surface-mounted films has been applied to the measurement of fluid flow. In this paper steady-periodic heating of a surface-mounted film is studied analytically. Wall effects and axial heat conduction in the fluid are included. The temperature is found as an exact integral expression constructed from separate Green's functions formulations in the fluid flow and in the solid wall that are matched at the fluid-solid interface. Numerical results for temperature, obtained by quadrature, are reported for several flow speeds and several steady-periodic frequencies. The results show that steady-periodic heating has potential for fluid-flow measurement because the system may be tuned, via frequency, to maximize the temperature response at the fluid flow of interest. Simulated calibration curves are given.
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