CFD Online Logo CFD Online URL
Home > Forums > Main CFD Forum

isothermal stellar collapse

Register Blogs Members List Search Today's Posts Mark Forums Read

LinkBack Thread Tools Display Modes
Old   February 25, 1999, 04:14
Default isothermal stellar collapse
Posts: n/a
Does anyone know how to solve this problem for an isothermal collapse of molecular gas say at T = 10K. I would like to look at how the density "p",M(r), and P changes with time at this stage of protostellar developement.(in one dimension)

eqn of motion: GM(r)/r^2 + (1/"p")(dP/dr) = -(d^2r/dt^2)

mass conservation: dM(r)/dr = 4(pi)r^2"p"

eqn of state: P = R_g"p"T/"u"

where "p" is the density, M(r) is the mass inside the radius r, "u" is a constant=2, P is the pressure and all the dirivitives are actually partial derivitives.

Boundary Conditions: P(t) = constant or R(t)=constant
  Reply With Quote

Old   March 2, 1999, 19:26
Default Re: isothermal stellar collapse
Clifford Arnold
Posts: n/a
There is standard literature on the subject in Graduate level astrophysics curriculuum. The first work on the subject was by Hyashi. I think the standard "best" text is Stellar Evolution by Martin Schwartzschild. I would start there. By the way, rotation is important. The problem gets to be at least 2D rather quickly. Non-gravitational effects (i.e. radiation) also become important. The problem gets quite tricky.
  Reply With Quote


Thread Tools
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are On
Pingbacks are On
Refbacks are On

Similar Threads
Thread Thread Starter Forum Replies Last Post
Test problem for 1D isothermal Euler equations san_cfd Main CFD Forum 4 September 27, 2012 05:28
cavitation bubble collapse iceman FLUENT 6 June 18, 2012 13:17
isothermal - compressible - two phase - test case ? bohluly Main CFD Forum 3 August 31, 2009 15:06
Forced convection vs isothermal jeffberg CFX 2 May 8, 2005 16:35
Hot gas bubble collapse in cool water William Palm FLUENT 1 April 20, 2005 10:53

All times are GMT -4. The time now is 14:59.