Numerical Method for Relations Between Detonation Velocity and Curvature of High Explosives

We study relation of chemical energy and equation of state of plane detonation,and obtain the plane detonation shock equations and CJ conditons.Detonation relations depending on curvature are gained with coordinate transformations of one-dimensional cylindrincal fluid dynamics equations.And at the same time we get a general sonic condition.Based on pressure and temperature equillibrium in reaction zone,we get relations between velocity of detonation and curvature of PBX9404 and PBX9502 as equations of state of products and reactants and reaction rates are known.As experiment data of explosive are known,the method can be used to adjust parameters of equations of state and reaction rates.