Abstract:WUF.NICVlm II new book on compres~ible-Huid dynamics appears t·here i~ always a tendency to compare it. wit.h the weIlknown works by Shapiro and hy Liepmanll and Hoshko. Although t.hcse hooks have dominat.ed t.his area for many years, there has heen a growing need recently for a new text. OIl compressihle flows suit.ahle for use at t.he senior and first.-year grad1lI,te level. It is the opinion of this reviewer that I.hi,; book fiIlH t.his need admirably.The hook is qui\(! 10llg, and contains far moJ'(! materi… Show more
“…A commonly used EOS for compressible water is the modified Tait EOS, also called the stiffened EOS. 30 This is the EOS used by Krimmel et al 19 and Iloreta et al 20 when solving the Euler equations to model shock wave lithotripsy. Here, the following forms of the EOS are used:…”
A multiphysics computational model of the focusing of an acoustic pulse and subsequent shock wave formation that occurs during extracorporeal shock wave lithotripsy is presented. In the electromagnetic lithotripter modeled in this work the focusing is achieved via a polystyrene acoustic lens. The transition of the acoustic pulse through the solid lens is modeled by the linear elasticity equations and the subsequent shock wave formation in water is modeled by the Euler equations with a Tait equation of state. Both sets of equations are solved simultaneously in subsets of a single computational domain within the BEARCLAW framework which uses a finite-volume Riemann solver approach. This model is first validated against experimental measurements with a standard (or original) lens design. The model is then used to successfully predict the effects of a lens modification in the form of an annular ring cut. A second model which includes a kidney stone simulant in the domain is also presented. Within the stone the linear elasticity equations incorporate a simple damage model.
“…A commonly used EOS for compressible water is the modified Tait EOS, also called the stiffened EOS. 30 This is the EOS used by Krimmel et al 19 and Iloreta et al 20 when solving the Euler equations to model shock wave lithotripsy. Here, the following forms of the EOS are used:…”
A multiphysics computational model of the focusing of an acoustic pulse and subsequent shock wave formation that occurs during extracorporeal shock wave lithotripsy is presented. In the electromagnetic lithotripter modeled in this work the focusing is achieved via a polystyrene acoustic lens. The transition of the acoustic pulse through the solid lens is modeled by the linear elasticity equations and the subsequent shock wave formation in water is modeled by the Euler equations with a Tait equation of state. Both sets of equations are solved simultaneously in subsets of a single computational domain within the BEARCLAW framework which uses a finite-volume Riemann solver approach. This model is first validated against experimental measurements with a standard (or original) lens design. The model is then used to successfully predict the effects of a lens modification in the form of an annular ring cut. A second model which includes a kidney stone simulant in the domain is also presented. Within the stone the linear elasticity equations incorporate a simple damage model.
“…The answer is no, in general. In the case of a shock-tube filled with perfect gases having the ratio of specific heats γ, sound speed a and pressure P , with subscripts l and r denoting the left and right states, P l and P p are related by the shock-tube [17] equation…”
Section: Coupling As a Riemann Problemmentioning
confidence: 99%
“…The speed of the piston and the pressure at the interface are determined by the method of characteristics [17]. Writing t * = t/τ , the solution is given by (20) and…”
Section: Free Expansionmentioning
confidence: 99%
“…We discuss only nonreactive flow in this paper but that is not an essential limitation and the method has been applied to detonation problems. Nonreactive, inviscid fluid dynamics is described by the Euler equations [17] ∂ρ ∂t…”
“…The conditions of injection in rocket engines lead to supersonic under-expanded jets with shocks in a succession of expansion/recompression cells [46]. In the M3 burner, just before ignition, the oxygen dome is at 12 bar whereas the chamber is at about 2 bar.…”
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