In an oscillating compressible flow field the volumetric strain rate is not zero, but varies with time

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In an oscillating compressible flow field the volumetric strain rate is not zero, but varies with time following a fluid particle. In Cartesian coordinates we express this as

Suppose the characteristic speed and characteristic length for a given flow field are V and L, respectively. Also suppose that f is a characteristic frequency of the oscillation (Fig. P7–30). Define the following dimensionless variables,

Nondimensionalize the equation and identify any established (named) dimensionless parameters that may appear.


FIGURE P7–30

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