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MABS 21 2010 Israel THE SHAPE OF THE BLAST WAVE: STUDIES OF THE FRIEDLANDER EQUATION by John M. Dewey Dewey McMillin & Associates 1741 Feltham Road, Victoria.

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Presentation on theme: "MABS 21 2010 Israel THE SHAPE OF THE BLAST WAVE: STUDIES OF THE FRIEDLANDER EQUATION by John M. Dewey Dewey McMillin & Associates 1741 Feltham Road, Victoria."— Presentation transcript:

1 MABS 21 2010 Israel THE SHAPE OF THE BLAST WAVE: STUDIES OF THE FRIEDLANDER EQUATION by John M. Dewey Dewey McMillin & Associates 1741 Feltham Road, Victoria BC Canada (www.blastanalysis.com)

2 MABS 21 2010 Israel Characteristic Shape t t+t+ t+t+ PsPs

3 MABS 21 2010 Israel Friedlander 1946 Friedlander suggested that the classic pressure time-history could be described by

4 MABS 21 2010 Israel Press. vs Time 523.5m SB ANFO 2.205 kt (MINOR UNCLE)

5 MABS 21 2010 Israel Friedlander Fit

6 MABS 21 2010 Israel Density vs Time

7 MABS 21 2010 Israel Total (Pitot) Pressure vs Time

8 MABS 21 2010 Israel Dynamic Pressure (½ρu 2 ) vs Time

9 MABS 21 2010 Israel Friedlander Fails at Higher Overpressures

10 MABS 21 2010 Israel Modified Friedlander Equation Additional coefficient α

11 MABS 21 2010 Israel Properties of Friedlander Equation Impulse in positive phase

12 MABS 21 2010 Israel Properties of Friedlander Equation Total Impulse

13 MABS 21 2010 Israel Properties of Friedlander Equation Minimum Pressure

14 MABS 21 2010 Israel Blast Wave Profile

15 MABS 21 2010 Israel Blast Wave Profile Low Overpressures

16 MABS 21 2010 Israel Particle Tracer Photogrammetry

17 MABS 21 2010 Israel Spherical Piston Path MISERS GOLD 2.445 KT ANFO SURFACE BURST

18 MABS 21 2010 Israel Friedlander Fit to Piston Path

19 MABS 21 2010 Israel Conclusions 1.The time histories of the physical properties of centered blast waves are well described by the Friedlander equation at peak overpressures less than 1 atm. 2. The wave profiles of the physical properties are well described by the Friedlander equation at peak overpressures greater than 1 atm.

20 MABS 21 2010 Israel Conclusions 3.The trajectory of the spherical piston that drives a centered blast wave has the form of the Friedlander equation 4. Are there physical reasons why it should be expected that a point source release of energy would generate a spherical piston path of this shape?

21 MABS 21 2010 Israel

22 Properties of Friedlander Equation Relaxation Time t *

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