Changes between Version 5 and Version 6 of u/SurfacePressureApprox


Ignore:
Timestamp:
10/18/13 17:14:08 (11 years ago)
Author:
Erica Kaminski
Comment:

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  • u/SurfacePressureApprox

    v5 v6  
    33There are 2 limits we identify, the first is the sparse ambient limit in which we treat the ambient as a collection of parcels of gas that are attracted to the BE sphere only, and the 2nd is the dense ambient limit where we treat the ambient as a collapsing uniform sphere. Our approximations should explain the data in this table,
    44
    5 [[]]
     5http://astrobear.pas.rochester.edu/trac/astrobear/blog/erica10152013
    66
    77= Sparse Cases =
     
    3333Using this expression gives the following results,
    3434
    35 [[Image(Pressderiv.png)]]
     35[[Image(sparsederiv.png, 90%)]]
    3636
    3737Vertical lines indicate when a sink formed for the corresponding run. The horizontal line is the initial external pressure on the BE sphere, which since the sphere is a critical BE sphere, equals the critical pressure.
     
    4141Plotting denser ambient mediums skews the graph, as they increase much more rapidly on the y-axis.
    4242
    43 Here is a table of the runs summary,
    44 
    45 [[Image(runssummary.png)]]
    4643
    4744= Dense Case =
     
    8178Here are the results,
    8279
     80[[Image(logplotall.png, 90%)]]
     81
    8382= Compare the 2 approximations side by side =
    8483
    85 [[]]
     84[[Image(logplotall.png, 90%)]]
    8685
    87 [[]]
     86[[Image(sparsederiv.png, 90%)]]