Asymptotic behavior of the flow near the center of a collapsing spherical cavity

Details Asymptotic behavior of the flow near the center of a collapsing spherical cavity Asymptotic behavior of the flow near the center of a collapsing spherical cavity

Apr 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980pmtf.......116k&link_type=abstract

PMTF - Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, Mar.-Apr. 1980, p. 116-125. In Russian.

Computer Science

Sound

Asymptotic Methods, Cavitation Flow, Gas Dynamics, Gas Flow, Collapse, Equations Of State, Flow Equations, Flow Geometry, Free Boundaries, Shock Waves, Thermodynamic Properties

Scientific paper

In his analysis of the spherically symmetric collapse of an empty cavity in water, Hunter (1960) has obtained a similarity solution of the exact flow equations to describe the flow in the neighborhood of the collapse point. A caloric equation of state of the modified Tait form (Cole, 1948) was used to describe the thermodynamic properties of water. In the present paper, the second term is formulated for the expression describing the asymptotic behavior of the gas flow in the neighborhood of the collapse point. Hunter's similar solution in combination with this second term yields the speed of sound at the free boundary, in correspondence with the equation of state employed.

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