The polytropic exponent of gas contained within air bubbles pulsating in a liquid

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Abstract
Gas bubbles that are driven into oscillation within a liquid pulsate with amplitudes that are determined largely by the thermodynamic behavior of the gas contained within the bubble. Theoretical approaches to the solution of the motion of the radius of the bubble normally involve the polytropic exponent of the gas. Measurements are presented of this exponent for three different gases and for a wide range of values of the exponent. Comparison with available theories indicates good agreeement between measurements and predictions provided the gas bubble is not driven near one of its harmonic resonances.

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