MODIFICATIONS MODELING OF THE FRIEDLANDER`S BLAST WAVE EQUATION USING THE 6 TH ORDER OF POLYNOMIAL EQUATIONS

Abstract

The rapid release of energy characterizes an explosion as a mass of reactive material is converted into an extremely dense region of high-pressure gas. The gas rapidly expands and displaces the surrounding air, causing a pressure disturbance, which is a blast wave, to propagate away from the center of the explosive at supersonic speed. As the blast wave travels through the air, the front of the pressure disturbance 'shocks up,' the result of a near-discontinuous increase in pressure, density, and temperature. Following the shock front, the pressure decays until ambient pressure is reached, the duration of which is known as the positive phase duration. The semi-empirical 'Friedlander modified equation can describe the positive phase of the blast load reaction on a structure'. Alisjahbana states in a journal that the effect of the explosion load on orthotropic plates is in the post-explosion or post-negative position, which is most influential on the magnitude of the deflection. The 6th order polynomial equation is the best-obtained that corresponds to a small error factor to Normative Equation (Positive Phase without negative phase), Negative Bilinear, Extended Friedlander, Extended Friedlander Teich, Linear-Cubic, Granström negative and positive phase triangle, and Reed's 4th order of polynomial equations. Follow the equations, and do multiply the values of pr, max, and pr, min, to do the final result of the Friedlander modification explosion equation.