Can u pls derive laplace correction (ref:waves)?

Asked by  | 28th Feb, 2008, 08:10: PM

Expert Answer:

  Laplace pointed out that compressions and rarefactions occur so rapidly that heat generated cannot be dissipated sufficiently rapidly.; so the conditions confirm to Adiabatic changes and Not to isothermal changes

pvy    = constant

pyvy-1 dv + vydp =0

Put bulk modulus B = - dP/(dV/v)=γP( from above equation)

Then the speed of sound

finally,v = squareroot of γp/D 

γ= ratio of specific heats

v=volume

D =density of the medium

 

Answered by  | 7th May, 2008, 06:03: PM

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