Record Details


Field	Value

Title	GLOBAL-SOLUTIONS DESCRIBING THE COLLAPSE OF A SPHERICAL OR CYLINDRICAL CAVITY

Creator	SACHDEV, PL GUPTA, N AHLUWALIA, DS

Description	The collapse of a spherical (cylindrical) cavity in air is studied analytically. The global solution for the entire domain between the sound front, separating the undisturbed and the disturbed gas, and the vacuum front is constructed in the form of infinite series in time with coefficients depending on an 'appropriate' similarity variable. At time t = 0+. the exact planar solution for a uniformly moving cavity is assumed to hold. The global analytic solution of this initial boundary value problem is found until the collapse time (=(gamma - 1)/2) for gamma less-than-or-equal-to 1 + (2/(1 + nu)), where nu = 1 for cylindrical geometry, and nu = 2 for spherical geometry. For higher values of gamma, the solution series diverge at time t = 2(beta - 1)/(nu(1 + beta) + (1 - beta)2) where 2/(gamma - 1). A close agreement is found in the prediction of qualitative features of analytic solution and numerical results of Thomas et al. [1].

Publisher	BIRKHAUSER VERLAG AG

Date	2011-07-19T01:28:35Z 2011-12-26T12:50:56Z 2011-12-27T05:37:09Z 2011-07-19T01:28:35Z 2011-12-26T12:50:56Z 2011-12-27T05:37:09Z 1992

Type	Article

Identifier	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 43(5), 856-874 0044-2275 http://dx.doi.org/10.1007/BF00913411 http://dspace.library.iitb.ac.in/xmlui/handle/10054/5132 http://hdl.handle.net/10054/5132

Language	en

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