Dissipative Hydrodynamics

  • Steven L. Garrett
Part of the Graduate Texts in Physics book series (GTP)


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.  8.11 and  8.15, and in Eq. ( 8.50), 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.”


Quality Factor Prandtl Number Evanescent Wave Viscous Shear Helmholtz Resonator 
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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Steven L. Garrett
    • 1
  1. 1.Pine Grove MillsUSA

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