Changes between Version 8 and Version 9 of u/SurfacePressureApprox
 Timestamp:
 10/18/13 17:18:25 (11 years ago)
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u/SurfacePressureApprox
v8 v9 35 35 [[Image(sparsederiv.png, 60%)]] 36 36 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. 37 Crosses indicate when a sink formed for the corresponding run. The y axis is the pressure perturbation on the surface of the sphere, above the critical pressure. The vertical line is the average ff time of the sphere (the time it takes to collapse once the sphere goes unstable). The x axis is time. 38 38 39 39 We see that as eta = rho(Rbe)/rho(amb) increases (i.e. the ambient gets sparser), it takes longer for the pressure to grow at the surface of the sphere, inducing collapse. 40 40 41 Plotting denser ambient mediums skews the graph, as they increase much more rapidly on the yaxis.42 41 43 42 … … 78 77 Here are the results, 79 78 80 [[Image(logplotall.png, 60%)]] 79 [[Image(logplotall.png, 65%)]] 80 81 The plot was made with mathematica, hence the lack of a legend. Sorry for small font. 81 82 82 83 = Compare the 2 approximations side by side =