Lectures 25-27

Lectures 25-27 - Lecture 25: CV analysis of mass and...

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Lecture 25: CV analysis of mass and momentum conservation I 3/24/2008 ME203-002/004 Objectives: 1. Control volume analysis – mass conservation () cv cs dV V n dA t Why there is a minus sign? What is the meaning of A, Vn ? 2. Linear momentum conservation Dt D sys V d V = t . . V C V  d V + . . S C V ( V · n ) d = on contents F a. When is this equation valid? b. When we solve a problem, we always write down the three(x-, y- & z-) Components of this vector equation, please try to write them down. c. What is the meaning of . . S C V ( V · n ) d ? “Momentum transport through control surfaces because of flow 1 2 3 Need to understand (( V . n ) d )’s meaning and calculation d. What do we mean by F on-content ? 1. only externally force matters 2 . Body force- gravity Acting on fluids Normal force: pressure Surface force F oncontents Shear force: shear Body force. .. Acting on solid Reaction force 3. What is the general procedure of using C.V. analysis (7 steps) define coordinate system: has to be inertia system draw schematics, list assumptions (may need to introduce more assumption during problem solving) define CV: o label transport process across control surfaces o label surface normal direction o label force acting on contents of the CV (necessary only for momentum
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Lectures 25-27 - Lecture 25: CV analysis of mass and...

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