Real gas and heat transfer effects are included in the solution of the blast wave resulting from a point or line explosion. Due to the extremely high temperatures, particularly at the beginning of shock propagation, the assumption of perfect gas is not valid. The equation of state takes into account the high temperature effects of vibration, dissociation, electronic excitation, and ionization, as well as the intermolecular forces at high pressures. The computation of the flow problem is carried out using the method of characteristics which has been modified to the effects of radiative and conductive heat transfer. The results show considerable deviation in the initial stages of the explosion from the perfect gas solution, in particular the temperature profiles and the thermodynamic state immediately behind the front.
This paper presents a similarity solution for strong blast waves of variable energy propagating in a dusty gas. It is assumed that the equilibrium-flow condition is maintained and the variable energy input is supplied by a driving piston or surface according to a time-dependent power law. Three cases have been investigated: Case I corresponds to a decelerated piston, Case II to a piston of constant velocity, and Case III to a continuously accelerated piston starting from rest. Except in the case of constant front velocity, the similarity solution is valid for adiabatic flow as long as the effect of the counter-pressure is neglected. The effects of a parameter characterizing the various energy input of the blast wave on the similarity solution have been examined. The computations have been performed for various values of mass concentration of the solid particles and for the ratio of density of solid particles to the constant initial density of gas. Tables and graphs of numerical results are presented and discussed.
The first volume of this monograph included the formulation and self-similar solutions to blast waves. The next step in our exposition of Blast Wave Theory and Compu-tati,ns then expresses the need for presenting analytical solutions that, in effect, extend che range of validity of self-similar ones. The authors found that the one analytical method that is most amenable to solving different classes of problems ia the Quasi-Self-Similar Method developed by Oshima. It was then decided to devote the second volume of this series to presenting a complete exrosition to this nmethod that includes solutions to several types of problems, most are included here for the first time.
A similarity solution has been obtained for a laser-driven strong shock wave propagating in a mixture of gas and small solid particles. It is assumed that the equilibrium-ow condition is maintained and the variable laser energy is completely absorbed at the shock front according to a time-dependent power law. The similarity solution is valid for adiabatic ow as long as the e ect of the counter pressure is neglected. The e ects of a parameter characterising the various energy input of the blast wave on the similarity solution as well as on its limits have been examined. The computations have been performed for various values of mass concentration of the solid particles and for the ratio of density of solid particles to the constant-initial density of gas.
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