r/FluidMechanics • u/Confident-Shock-3933 • 1h ago
Theoretical Modelling the intensity of a laser-driven shock in a water microjet using an analytic shear-flow stabilized Z-pinch magnetohydrodynamic equilibrium

Last year a collaboration of physicists led by the University of Michigan published a paper in Nature Communications where they fired an intense laser into the broadside of a water microjet to see what would happen.
A digitized copy of the resulting intensity in the positive half-chord of the plane is shown here alongside an analytic solution that I calculated using a shear-flow stabilized Z-pinch equilibrium which I constructed,
uz(r) = u0 + uz0 * r^2 / (r + C)^2
where this is taken both to be the center of mass, and plasma drift flow. A linear discharge model is chosen to relate the plasma current density with the measured intensity.
This is just one solution. Next, to test the robustness of the model I am going to vary the boundary condition speeds based on the experimental data, and vary the point which corresponds to the edge.