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The stability problem of an accelerating plane interface separating compressible fluids is formulated in general terms. In the limit of small wavelength disturbances, a generalized form of Taylor's value for the growth rate is obtained. For the particular case of constant acceleration and static isothermal equilibrium, the criterion for instability remains the same as for corresponding case of two incompressible fluids, but the growth rate is reduced for longer wavelengths.
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Mitchner et al. (1964) studied this question.
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