EAS 4101 solutions by Damian Ricci and Mark Sheplak1 HW 1 Problem 1 Given:A jet of water issuing into a moving cart, declined at an angle as shown. Find:1.Draw the appropriate control volume, explicity stating unit normal vetors and flux areas. 2.List your assumptions required to solve this problem. 3.What are the pressure boundary conditions on your control volume? 4.What is the time rate of change of the liquid level? 5.What is the thrust force acting on the car by the jet of water? 6.What is the frictional force acting on the car? Schematic:FUDdjetU( )h tControl Volume (a) Control Volume (b) Basic Eqns:Integral form of the continuity equation: 0d VtCVCSV dA Integral form of the momentum equation: CVCSFVdVV V dAt Assumptions:a)Incompressible flow b)Inviscid flow c)Flow in cart has no velocity relative to CV
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