11.10 A large amount of energy E is suddenly released in the air as in a point of explosion. Experimental evidence suggests that the radius r of the high-pressure blast wave depends on the t as well as the energy E and ⍴ the density of the ambient air. Using the Buckingham method, find the equation for r as a function of, t, ⍴, E. Show that the speed of the wave front decreases as r increases.

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter15: Experimental Methods
Section: Chapter Questions
Problem 11CQ
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11.10 A large amount of energy E is suddenly released in the air as in a point of explosion. Experimental evidence suggests that the radius r of the high-pressure blast wave depends on the t as well as the energy E and ⍴ the density of the ambient air.

  1. Using the Buckingham method, find the equation for r as a function of, t, ⍴, E.
  2. Show that the speed of the wave front decreases as r increases.
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