Changes between Version 6 and Version 7 of u/erica/CFringanalysis


Ignore:
Timestamp:
07/01/15 17:16:28 (10 years ago)
Author:
Erica Kaminski
Comment:

Legend:

Unmodified
Added
Removed
Modified
  • u/erica/CFringanalysis

    v6 v7  
    2626We can then look to where this outward ram pressure equals the pressure of the ambient medium. The ambient medium is not in HSE, so it will begin to fall inward toward the cylinder. We can approximate this a uniform collapse, which will specify density and velocity as a ''function of distance'' away from the cylinder, thus giving a ram pressure of the ambient medium. At that radius where these ram pressures are equal, we can expect a ring will build up.
    2727
    28 Here are the shock parameters (1 is pre-shock, 2 is post-shock), in physical units (cgs):
     28''Here are the shock parameters (1 is pre-shock, 2 is post-shock), in physical units (cgs):
    2929
    3030|| gamma || 5/3 ||
     
    4444|| pram2 || 1.48*10^-12^ ||
    4545
    46 '''Uniform Collapse of the ambient'''
     46''Uniform Collapse of the ambient:''
    4747
    4848Needed to revisit these solutions to develop the model of the ambient infall. This can be followed [https://astrobear.pas.rochester.edu/trac/wiki/u/erica/UniformCollapse here].
    4949
    50 Of crucial importance to this model is the ram pressure analysis at the bottom of the page. Unfortunately, I noticed today that those calculations aren't correct from the shapes of the curves. I found the bug and will get new plots of that up next.
     50Assuming the ambient is a uniform density sphere of radius = half the largest box size in the shear 0 case,
     51
     52[[latex($r0_{max} = 37.5 ~pc = 1.16*10^{20} ~cm$)]]
     53
     54and density,
     55
     56[[latex($\rho0 = 1.67*10^{-24} ~g/cm^3$)]]
     57
     58Here is how the different shells of this sphere fall in over time,
     59
     60[[Image()]]
     61
    5162
    5263