# hw8 - Transport in Thermofluids ME220B Homework#8 Problem 1...

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Transport in Thermofluids ME220B Homework #8 Problem 1 A normal shock moves down an open-ended tube with a velocity 400m/s s υ = . In advance of the normal shock, the static air in the tube is at the ambient conditions: 101kPa a P = and 25C a T . When the shock reaches the open end, an expansion wave is reflected back. Determine the velocity of the leading and trailing edges of the expansion wave that moves back through the tube. Use the gas properties 287J/kg/K R = and 1.40 γ = for air. Sketch the position, as a function of time, of a material fluid element initially at a distance 1 x from the open end of the tube. Problem 2: Consider the flow, described in Problem 1. Derive a set of governing differential equations that describe the transient flow in terms of (,) xt ρ , and T xt . Present these equations in non-conservation form. (The shockwave described in Problem 1 is no longer in the domain of the solution.) Specify the initial and boundary conditions required to solve the governing equations for 0 t > , when at 0 t = the shock passes through the open end.

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## This note was uploaded on 07/08/2009 for the course ME 220b taught by Professor Bennett during the Winter '09 term at UCSB.

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hw8 - Transport in Thermofluids ME220B Homework#8 Problem 1...

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