Unformatted text preview: Burgers equation and is given as follows: ∂n ∂t + n ∂n ∂x1 2 ∂ 2 n ∂x 2 = 0 (1) (d) Assume that this equation has a steady state solution which propagates at some velocity v . Derive this solution and show that it takes the form of a shock. Find a relationship between the velocity of the shock and the density on either side of the shock. Hint: Write the solution in terms of the densities, n + and n, on either side the the shock. (e) Solve explicitly for the width of the shock in dimensional units....
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 Fall '08
 drake
 Momentum, Work, Fundamental physics concepts, steady state solution, Dr. Drake, nonlinear sound wave, constant viscosity term

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