Changes between Version 5 and Version 6 of u/SurfacePressureApprox
- Timestamp:
- 10/18/13 17:14:08 (11 years ago)
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u/SurfacePressureApprox
v5 v6 3 3 There 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, 4 4 5 [[]] 5 http://astrobear.pas.rochester.edu/trac/astrobear/blog/erica10152013 6 6 7 7 = Sparse Cases = … … 33 33 Using this expression gives the following results, 34 34 35 [[Image( Pressderiv.png)]]35 [[Image(sparsederiv.png, 90%)]] 36 36 37 37 Vertical 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. … … 41 41 Plotting denser ambient mediums skews the graph, as they increase much more rapidly on the y-axis. 42 42 43 Here is a table of the runs summary,44 45 [[Image(runssummary.png)]]46 43 47 44 = Dense Case = … … 81 78 Here are the results, 82 79 80 [[Image(logplotall.png, 90%)]] 81 83 82 = Compare the 2 approximations side by side = 84 83 85 [[ ]]84 [[Image(logplotall.png, 90%)]] 86 85 87 [[ ]]86 [[Image(sparsederiv.png, 90%)]]