Changes between Version 8 and Version 9 of u/SurfacePressureApprox


Ignore:
Timestamp:
10/18/13 17:18:25 (11 years ago)
Author:
Erica Kaminski
Comment:

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  • u/SurfacePressureApprox

    v8 v9  
    3535[[Image(sparsederiv.png, 60%)]]
    3636
    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.
     37Crosses 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.
    3838
    3939We 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.
    4040
    41 Plotting denser ambient mediums skews the graph, as they increase much more rapidly on the y-axis.
    4241
    4342
     
    7877Here are the results,
    7978
    80 [[Image(logplotall.png, 60%)]]
     79[[Image(logplotall.png, 65%)]]
     80
     81The plot was made with mathematica, hence the lack of a legend. Sorry for small font.
    8182
    8283= Compare the 2 approximations side by side =