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Homework 1 - 4262 Rockets and Mission Analysis Homework#1...

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4262: Rockets and Mission Analysis Assigned: August 24, 2010 Homework #1 Due: September 7, 2010 Purpose of this homework assignment: 1. Review and practice use of mass and momentum theorem relevant to rocket propulsion applications. 2. Gain comfort in the use of these equations for steady vs. unsteady problems, as well as their implementation with moving frames of reference. 3. Preparation for the development of the Rocket Equation, which employs these ideas in its derivation. Complete the following problems from Hill and Peterson: 10.1 10.2 10.3 10.10 10.13 1
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Question 1: Mass Balance on Solid Rocket Motor In class we developed an equation for the exit velocity of a solid rocket motor, which was shown to be: flame gas gas fuel e e v A A u - = ρ ρ ρ 1 Where v f was the flame front burning velocity measured from the nozzle exhaust plane to the flame front surface (or the length of the gas propellant region). For the example developed in class we showed v f =dx/dt. To make sure that you understand the details of this derivation, re-derive this equation in 2 new
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