Dissipative Hydrodynamics

Author:

Garrett Steven L.

Abstract

Abstract In the previous chapter, the resonance frequency, ωo, of a Helmholtz resonator was calculated. When driven at that frequency, the predicted pressure amplitude inside the resonator’s volume (compliance) became infinite. This was because the theory used to model that inertance and compliance network in Figs. 10.1007/978-3-030-44787-8_8#Fig11 and 10.1007/978-3-030-44787-8_8#Fig15, and in Eq. (10.1007/978-3-030-44787-8_8#Equ50), did not include any dissipation. By introducing DeltaEC, we were able to calculate the amount of power dissipated in the neck (inertance) and volume (compliance) of a 500 ml boiling flask. In this chapter, those losses will be calculated from hydrodynamic “first principles.”

Publisher

Springer International Publishing

Reference19 articles.

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2. F. M. White, Mass and Heat Transfer (Addison-Wesley, 1991). See §1.3.5; ISBN 0-201-17099-X.

3. F. P. Incropera and D. P. DeWitt, Fundamentals of Heat and Mass Transfer, 3rd ed. (J. Wiley & Sons, 1990). See Ch. 6; ISBN 0-471-61246-4.

4. G. W. Swift, Thermoacoustics: A unifying perspective for some engines and refrigerators, 2nd ed. (Acoust. Soc. Am., 2017); ISBN 978-3-319-66932-8. See Eq. (5.11).

5. A.D. Hanford, L.N. Long, The absorption of sound on Mars using the direct simulation Monte Carlo. J. Acoust. Soc. Am. 119, 3264 (2006)

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