Shock Waves in Arbitrary Fluids a Note Submitted to the Applied Mathematics Pan
Shock Waves in Arbitrary Fluids a Note Submitted to the Applied Mathematics Pan
Herman Weyl
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By hypothesis II f = z o 1 linked by Hugoniot's equation H = the follo wing inequal:; ties hold. (12) N* = (p 3 - P Q ) (V Q - V x ) > 0, (15) (p 3 - p Q ) + m o (V 1 - V Q ) > r (p 2 - p Q ) + m 1 (V 1 - V Q ) because it follows, even in the sharper form >t" > 0, from the Hugoniot equation. The adiabatic derivative dg = _ v 2 # d£ = 2; df dV is the square of the "acoustic velocity" q. Assume V > V, . Ther. The two relations (13) give (14) m q Q, lu 1 !
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