hw6F10 - 3) For incompressible inviscid steady flow of air...

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AAE333 Fall 2010 Homework 6 Due: Monday Oct 4 10% bonus if turned in on Friday 10/1/10 1) A conical funnel with a 45 deg cone angle is initially full of water to a depth of 6 in. The bottom of the funnel is clipped off, leaving a hole 1/8 th of an inch in radius. Determine the time history of the water level in the funnel and how long it takes to fully drain. (Note the funnel is open at both the top and bottom, so the pressure is the same 1 atm at both ends) 2) A cylinder 8 inches long is full of water to a depth of 6 inches. The airspace at the top is pressurized to 2 atm (about what’s in your car tires). The radius of the cylinder is 3 inches. A small hole is opened at the bottom with radius 1/8 th inch, open to 1 atm air. Determine the time history of the depth of water in the cylinder. Will it drain completely? (Note: the pressure in the plenum is maintained at a constant 2atm by a pump. Otherwise the plenum pressure would drop as the air volume increased.)
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Unformatted text preview: 3) For incompressible inviscid steady flow of air over a body with a free stream velocity of 10 m/s what is the highest possible gage pressure you could find anywhere in the flow field in Pascals? What is that in units of atmospheres? What is the corresponding highest value of pressure coefficient? 4) If the peek speed on an airfoil is 1.2 times the free stream velocity, what is the smallest value of pressure coefficient? 5) Consider a 3D velocity field with (u,v,w) being the velocity components in the Cartesian coordinate directions (x,y,z) respectively. Let u=x + by, v= x + c y, w=0. (where b & c are constants) i. Determine the three components of vorticity for arbitrary values of b and c ii. Determine the values of b required for the velocity field to be irrotational iii. Determine the value of c required for the velocity field to be incompressible AAE333 Fall 2010...
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hw6F10 - 3) For incompressible inviscid steady flow of air...

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