Sedov Equation -- from Eric Weisstein's World of Physics

An equation that describes the release of energy in explosions. The variables are the shock wave radius , time t, air density , and energy E. There are four variables and three units, so by the Buckingham's pi theorem, there must be one nondimensional governing parameter

giving

for some function f. If we assume a simple linear relationship,

so

where K is a constant.

Shock Wave