Lectures 28-30

Lectures 28-30 - Lecture 28: CV analysis of energy...

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Lecture 28: CV analysis of energy conservation I 3/31/2008 ME203-002/004 Objectives: 1. To understand energy conservation in a control volume + = + cs cv in net in net cv W Q dA n v e dV e t ) ( ) ( _ _ & & v v ρ Meaning of each item How to compute each term ( especially _ net in W & ) How do we get to the following equ? + = + + + + cs cv in shaft in net cv W Q dA n v gz v P u dV e t ) ( ) ( ) 2 / / ( _ _ 2 & & v v ( How do we get to the following equ? ( ) ( ) [ ] in shaft in net in in in out out out W Q gz v h gz v h m _ _ 2 2 2 / 2 / & & & + = + + + + What are the assumptions of this equation? 2. To understand energy conservation in 1- D, in compressible, steady-in- mean flow with friction and shaft work _ 22 // 2 / / 2 shaft in out out out in in in w loss Pv g z P v g z gg γγ ++ = + + +− & How do we get this equation? Assumptions & limitations? What does “loss” means? How to use “head” concept in practice? Examples : 1. A pump delivers water at Q = 300 gallon/ min. The process is steady and adiabatic.
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Lectures 28-30 - Lecture 28: CV analysis of energy...

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