Recovery factors in zero-mean internal oscillatory flows [electronic resource]
Tait, Nicole Lynn
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High speed oscillatory flows, like high speed mean flows, are capable of inducing time-averaged heat transfer effects. This research involves the analytical solution of a model problem of zero-mean internal oscillatory flow, which arises from a high- intensity resonant standing acoustic wave set up across the ends of two parallel plates. The compressible form of the Navier-Stokes equations are solved, along with the equations of continuity, energy, and state, using perturbation solution and complex variable methods. MAPLE, a symbolic mathematical software tool, is utilized to find the time-averaged portion of the temperature distribution between the plates. The final heat transfer results are presented in terms of suitably defined recovery factors. The analysis is performed for varying gap widths between the plates using air as the host fluid. This work provides the fundamental explanation of the phenomenon responsible for the thermoacoustic refrigerating effect as well as an analytical basis for determining the optimum gap width between the plates of the stack in a thermoacoustic refrigerator. (AN)
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