Convergence of strong shock in a Van der Waals gas

被引:52
作者
Arora, Rajan [1 ]
Sharma, V. D. [1 ]
机构
[1] Indian Inst Technol, Dept Math, Bombay 400076, Maharashtra, India
关键词
shock waves; convergence; Van der Waals gas;
D O I
10.1137/050634402
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Strong cylindrical and spherical shock waves, collapsing at the center (or axis) of symmetry, are studied for a Van der Waals gas. The perturbation technique applied in this paper provides a global solution to the implosion problem, yielding the results for Guderley's local self-similar solution, which is valid only in the vicinity of the center/axis of implosion. The similarity exponents are found along with the corresponding amplitudes in the vicinity of the shock- collapse. The flow parameters and the shock trajectory have been computed for different values of the adiabatic coefficient and the Van der Waals excluded volume.
引用
收藏
页码:1825 / 1837
页数:13
相关论文
共 10 条
[1]   METHODS OF SERIES ANALYSIS .2. GENERALIZED AND EXTENDED METHODS WITH APPLICATION TO ISING-MODEL [J].
BAKER, GA ;
HUNTER, DL .
PHYSICAL REVIEW B, 1973, 7 (07) :3377-3392
[2]  
Brueckner K. A., 1965, Advances in Theoretical Physics, V1, P1
[3]  
GAUNT DS, 1974, PHASE TRANSITIONS CR, V3, P181
[4]  
Guderley G., 1942, Luftfahrtforschung, V19, P302
[5]   STRONG CONVERGENT SHOCK-WAVES NEAR THE CENTER OF CONVERGENCE - A POWER-SERIES SOLUTION [J].
HAFNER, P .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1988, 48 (06) :1244-1261
[6]  
Lazarus R., 1977, LA6823MS LOS AL SCI
[7]   Propagation of strong converging shock waves in a gas of variable density [J].
Madhumita, G ;
Sharma, VD .
JOURNAL OF ENGINEERING MATHEMATICS, 2003, 46 (01) :55-68
[8]  
VANDYKE M, 1982, J FLUID MECH, V120, P451, DOI 10.1017/S0022112082002845
[9]  
WHITHAM GB, 1974, LINEAR NONLINEAR WAV
[10]   Structure and stability of a spherical shock wave in a van der Waals gas [J].
Wu, CC ;
Roberts, PH .
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1996, 49 :501-543