f6_mud - wherever the pressure increases, such as just in...

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Lecture F6 Mud: Control Volumes, Mass Conservation (33 respondents) 1. The 18.02 math stuff in the lecture was rather complex. (3 students) Yes, but it’s tough to avoid when doing Fluids. I’ll try to review the math concepts as they come up. 2. How do you calculate the divergence? (1 student) Using its defnition. In the general continuity equation the vector in question is V = u ˆ ı + v ± ˆ+ w ˆ k , so we calculate: · ( ² ( u ) ² ( v ) ² ( w ) V ) = + + ²x ²y ²z is a constant (low-speed flow), it can be taken outside the derivatives, but not in general. 3. How can one increase volume and decrease density in the steady flow equa- tion? (1 student) In a steady low speed flow ( M 2 ± 1), the only way to decrease the gas density is to add heat to it, as in the heater-in-pipe PRS question. In high-speed flow ( M 2 not small), density will increase locally
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Unformatted text preview: wherever the pressure increases, such as just in ront o an airoil leading edge. In liquids the density is pretty much constant no matter what happens, short o boiling. 4. Didnt understand how you got 1 V 1 A 1 + 2 V 2 A 2 = (1 student) Ill go over this again on Monday. 5. Theres a typo in the notes (mass ux should be mass ow in one equation). (1 student) Thanks. Its fxed. The Fluids notes this term will be hot out o the oven, so typo reports are welcome. 6. No mud (26 students)...
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This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.

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