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Unformatted text preview: Lecture F13 Mud: Bernoulli Equation (25 respondents) 1. How is u du/dx = 1 2 d ( u 2 ) /dx ? (2 students) You can see this easily just by differentiating d ( u 2 ) /dx via the product rule. 2. How is u du = 1 2 d ( u 2 ) ? (2 students) Take the differential d ( u 2 ) using the product rule. This is essentially the same operation as in mud 1 above. 3. How did you go from 1 2 d ( u 2 ) /dx + dp/dx = 0 to 1 2 u 2 + p = C ? (1 student) Via an indefinite integration in x : integraldisplay parenleftbigg 1 2 d ( u 2 ) /dx + dp/dx = 0 parenrightbigg dx 4. How did you know you can multiply x-momentum by dx ? (1 student) You can always multiply equations by anything you want, whether its useful or not to do so. Bernoulli in the 1700s figured out that multiplying by dx actually gets you somewhere. 5. What form of vector V should you use in Bernoulli? ? (1 student) In aerodynamic flows, the velocity used in Bernoulli is usually defined via ( x, y, z )....
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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.
- Fall '05