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Systems Problem 4 Lecture Notes

payload. Systems Problem 4 Lecture Notes. Learning objectives. After completing this SP4 and SP5 you will have: Applied material from 8.01, (Unified thermodynamics) and Unified fluid mechanics to develop a model for a single stage water rocket

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Systems Problem 4 Lecture Notes

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  1. payload Systems Problem 4Lecture Notes

  2. Learning objectives • After completing this SP4 and SP5 you will have: • Applied material from 8.01, (Unified thermodynamics) and Unified fluid mechanics to develop a model for a single stage water rocket • Demonstrated an ability to integrate a system of ordinary differential equations using a spreadsheet • Explored how external aerodynamics, structural weight, propellant mass fraction, payload mass, internal fluid mechanics and thermodynamics jointly determine the dynamic behavior of a single stage water rocket. • Demonstrated an ability to describe conceptually how the performance of the water rocket changes as a function of important design parameters • Developed a preliminary design for a water rocket that you and a partner may build and test for SP6 SP4 SP5

  3. 3 stages Stage 3 Ballistic Gravity and drag forces Stage 1 Quasi-static adiabatic expansion as rocket lifts off launch rod Constant mass Stage 2 Quasi-static adiabatic expansion Water ejected from rocket Gravity, drag, thrust forces

  4. Three state variables

  5. Open items • Initial conditions • Modeling stage 1 • Thrust (Ti)? • Exit velocity (uei)? • Integrating the equations • Analyzing the results • Developing a design + rationale

  6. Modeling the gas expansion • Work = change in energy • Adiabatic, quasi-static • g = 1.4 for air pressure volume

  7. Thrust from the momentum equation • Force = time rate of change of momentum

  8. Forward Euler finite difference equations

  9. My spreadsheet

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