Exam 15: Fluid Dynamics and Aerodynamics

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A square smooth conduit, 80 cm on a side, circulates 35 35C35 ^ { \circ } \mathrm { C } C air in a large building. The pressure drop over a 50-m length of the horizontal conduit is not to exceed 800 Pa. Assume an average Pressure in the conduit of 120 kPa. The maximum flow rate in the conduit is nearest:

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B

If the average velocity in the pipe of Number 2 is 5 m/s, the energy grade line would increase suddenly at the pump a distance nearest:

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D

An aircraft flies at an altitude of 20,000 m. With what speed would it fly if M = 1?

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C

A smooth 10-cm-diameter sphere weighs 6 N. If it is dropped in 5 5C5 ^ { \circ } \mathrm { C } C water, its terminal velocity will be nearest:

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\text {If the straight-line approximation u = U _ { \infty } y / \delta to the velocity profile is used, the boundary-}layer thickness for a zero-pressure gradient flow on a flat plate would be approximated to be:\text {layer thickness for a zero-pressure gradient flow on a flat plate would be approximated to be:}

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\text {In the region near the wall where \overline { u ^ { \prime } v ^ { \prime } } is constant, if \(\bar { u } ( y ) = c _ { 1 } \ln y + c _ { 2 }\) (see Example \(7.8\) ), the }eddy viscosity \etais proportional to:\text {eddy viscosity \eta is proportional to:}

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The drag on a blunt object is due primarily to:

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A tall cell-phone tower is 12 cm in diameter over much of the height. A wind blows at 25 m/s. The frequency of the vortices being shed from the tower is nearest:

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The shear velocity in the 60-mm-diameter horizontal water pipe of Problem 2 is nearest:

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One liter of 20C20 ^ { \circ } \mathrm { C } C water is collected from a 60-cm-long, 4-mm-diameter tube over a time span of 4 minutes. The length of the entrance region is nearest:

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If an irrotational vortex approximates the air flow in a tornado, the highest possible velocity,\text {If an irrotational vortex approximates the air flow in a tornado, the highest possible velocity,} \text {assuming an incompressible flow with p _ { \text {atm } } = 100 \mathrm { kPa }, is nearest:}

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The free-stream flow outside a boundary layer is:

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The horsepower required to rotate the shaft of Problem 2, if SAE-30 oil at 40 40C40 ^ { \circ } \mathrm { C } ills the gap, is nearest:

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A farmer is using a tank of 20 20C20 ^ { \circ } \mathrm { C } C nitrogen pressurized to 540 kPa absolute. It exits the tank out a hose. The hose snaps and the farmer is hit with the expanding nitrogen. Air is primarily Nitrogen so assuming it is air flowing with no losses, the temperature of the exiting nitrogen is Nearest:

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Water at 20 20C20 ^ { \circ } \mathrm { C } C flows between 80-cm-wide horizontal parallel plates 12 mm apart such that a pressure drop of 100 Pa occurs over a distance of 2 m. If the top plate is moving at 1.8 m/s inThe direction of the flow, the flow rate is nearest:

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\text {Water at 20 ^ { \circ } \mathrm { C } is transported in a 10 -cm-diameter cast iron horizontal pipe at a flow rate of}\text { 0.02 \mathrm {~m} ^ { 3 } / \mathrm { s }. The pressure drop over \(100 \mathrm {~m}\) of the pipe is nearest:}

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\text {It is desired to transport 4 \mathrm {~m} ^ { 3 } / \mathrm { s } of water through a rectangular finished concrete canal that can}\text { be at most 2 \mathrm {~m} wide. The slope of the land through which it passes is \(0.0004\). What depth of} water should be expected?\text {water should be expected?}

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In which one of the following flows must compressibility be considered?

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\text {A large dirigible measures 18 \mathrm {~m} in diameter and is \(100 \mathrm {~m}\) long. The thin boundary layer can} be assumed to be developing on a flat plate with thickness at the leading edge. The drag\text {be assumed to be developing on a flat plate with thickness at the leading edge. The drag} \text {contributed by the shear stress due to the boundary layer for a dirigible speed of 10 \mathrm {~m} / \mathrm { s } is} approximately:\text { approximately:}

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If the velocity profile in a boundary layer was approximated by the linear distribution\text {If the velocity profile in a boundary layer was approximated by the linear distribution} u = A y + B, the boundary condition(s) that the profile would be required to satisfy is (are):\text {u = A y + B, the boundary condition(s) that the profile would be required to satisfy is (are):}

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