Changes between Version 47 and Version 48 of 1DPulsedJets


Ignore:
Timestamp:
03/30/12 12:51:26 (13 years ago)
Author:
ehansen
Comment:

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  • 1DPulsedJets

    v47 v48  
    222222
    223223=== Equations ===
    224 The shock jump equations for a stationary shock are used to solve for the initial post-shock values.  The post-shock velocity v2 can be written as:
    225 
    226 
    227 where v1 is the ambient velocity, and M is the ambient mach number.  Remember that the mach number M = v1/c where c is the ambient sound speed, and [[latex($c = \sqrt{\frac{\gamma P1}{\rho1}}$)]] where P1 is ambient pressure, and [[latex($\rho1$)]] is ambient density.
    228 
    229 The post-shock density and pressure ([[latex($\rho2$)]] and P_2_ respectively) can be found by using mass flux and momentum flux conservation across the shock:
     224The shock jump equations for a stationary shock are used to solve for the initial post-shock values.  The post-shock velocity v,,2,, can be written as:
     225
     226
     227where v,,1,, is the ambient velocity, and M is the ambient mach number.  Remember that the mach number M = v,,1,,/c where c is the ambient sound speed, and [[latex($c = \sqrt{\frac{\gamma P_{1}}{\rho_{1}}}$)]] where P,,1,, is ambient pressure, and [[latex($\rho_{1}$)]] is ambient density.
     228
     229The post-shock density and pressure ([[latex($\rho_{2}$)]] and P,,2,, respectively) can be found by using mass flux and momentum flux conservation across the shock:
    230230
    231231These post-shock values become the boundary conditions for the fluid equations in the cooling region:
     
    235235[[BR]]
    236236=== Initial Parameters ===
    237 n1 = 60 particles/cc
    238 
    239 v1 = 10^7^ cm/s
    240 
    241 T1 = 10^4^ K
     237n,,1,, = 60 particles/cc
     238
     239v,,1,, = 10^7^ cm/s
     240
     241T,,1,, = 10^4^ K
    242242
    243243For analytic cooling,