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Calculation of the Growth and Decay of
The Perturbation Velocity Potentials
Verification of the Solution
adiabatic value approximately assumed blast center blast front bubbles Chapter computed constant continuity equation cooling profile corresponds counterflow configuration decay density derivatives dynamic boundary condition emission term Eulerian coordinate evaluated expansion waves finite finite-difference calculation flow rate flow velocity Fluid function gas cylinders given by Eq Helmholtz initial conditions initial perturbation initial-value inner region integral transform integrand interface displacement internal shock wave inviscid iterated solution Lagrangian coordinate Laplace transform Laplace's equation linear Mellin transform nondimensional opposing stagnation flows outer region collapse parallel flows Partial Differential Equation perturbation velocities planar porous plate power-law solution Pressure profiles Professor Daniel Radiating Blast Waves radiatively cooled shell Rayleigh Rayleigh-Taylor San Diego shadowgraph shock front shock velocity shock-front positions shock-front velocity shown in Fig shows solution of Eq spherical stagnation counterflow stagnation point supernova remnants Temperature profiles transform with respect turbed University of California unperturbed flow variable velocity potential zero zone