PMID: 11327964May 1, 2001Paper

Stagnation pressure of imploding shells and ignition energy scaling of inertial confinement fusion targets

Physical Review Letters
A KempS Atzeni

Abstract

The stagnation pressure p(s) of imploding cylindrical ( n = 2) and spherical ( n = 3) shells is found to scale as p(s)/p(0)~M(2(n+1)/(gamma+1))(0), where M0 is the Mach number of the imploding shell and p(0) its maximum pressure. The result holds approximately for Mach numbers in the range 2<M0<25 relevant for inertial confinement fusion capsules and is of key importance for their ignition energy scaling. It is derived analytically on the basis of similarity solutions for an ideal gas with adiabatic exponent gamma.

Citations

Mar 10, 2010·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Y AglitskiyS P Obenschain
Nov 3, 2010·The Review of Scientific Instruments·D G HicksO L Landen
Jun 13, 2002·Physical Review Letters·M M Basko, J Meyer-ter-Vehn
May 21, 2010·Physical Review Letters·P Y ChangD Shvarts
Nov 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Baolian ChengSteven H Batha

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