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\text {The pressure drop in 10 \mathrm {~m} of a turbulent flow in a pipe is \(200 \mathrm {~Pa}\) . The time-average velocity,} in the pipe at three radial locations, is measured to be:\text {in the pipe at three radial locations, is measured to be:} uˉ( m/s) 7.247.076.72r( mm) 232527\begin{array} { c c c c } \bar { u } ( \mathrm {~m} / \mathrm { s } ) & 7.24 & 7.07 & 6.72 \\r ( \mathrm {~mm} ) & 23 & 25 & 27\end{array} \text {The eddy viscosity at r = 25 \mathrm {~mm} is nearest (neglect the kinematic viscosity) :}


A) 0.00163 m2/s0.00163 \mathrm {~m} ^ { 2 } / \mathrm { s }
B) 0.00181 m2/s0.00181 \mathrm {~m} ^ { 2 } / \mathrm { s }
C) 0.00192 m2/s0.00192 \mathrm {~m} ^ { 2 } / \mathrm { s }
D) 0.00227 m2/s0.00227 \mathrm {~m} ^ { 2 } / \mathrm { s }

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To determine boundary-layer characteristics on a body, for example the boundary-layer thickness, we must first know the potential-flow solution. The information used from the Potential-flow solution is:


A) The lift and drag acting on the body
B) The pressure and velocity at the boundary of the body
C) The shearing stress acting on the boundary of the body
D) The normal and shearing stress acting on the boundary of the body

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The equation (7.3.20) for the head loss is valid for both laminar and turbulent flows. We wish to pump the flow rate Q through a long pipe of diameter D, to be selected. The head loss is Proportional to what power of D, assuming a constant friction factor?


A) D2D ^ { - 2 }
B) D3D ^ { - 3 }
C) D4D ^ { - 4 }
D) D5D ^ { - 5 }

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A bomb blast sends a shock wave through the 20 20C20 ^ { \circ } \mathrm { C } C atmosphere. At a certain location, the shock wave is travelling at M = 3. The induced velocity behind the wave is nearest:


A) 760 m/s
B) 620 m/s
C) 540 m/s
D) 410 m/s

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River water flows around circular 20-cm-diameter pier at 0.01 m/s. the flow is:


A) Creeping flow
B) Flow with a wake
C) Stokes flow
D) Low-Reynolds-number flow

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A pressure drop of 200 kPa is measured over a 50-m-length of 2-mm-diameter pipe trans- porting 30 30C30 ^ { \circ } \mathrm { C } C water. If a laminar flow exists, the flow rate is nearest:


A) 0.00195 L/s
B) 0.00243 L/s
C) 0.00732 L/s
D) 0.00991 L/s

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If the velocity potential in an inviscid flow is given by \phi= A y, where A is a constant, the\text {If the velocity potential in an inviscid flow is given by \phi = A y, where \(\mathrm { A }\) is a constant, the} stream function is:\text {stream function is:}


A) Ay2+B- A y ^ { 2 } + B
B) Ax2+BA x ^ { 2 } + B
C) Ay+BA y + B
D) Ax+B- A x + B

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A cyclist, traveling 12 m/s, wears a helmet that is close to being a 36-cm-diameter sphere. The drag force acting on that helmet is approximately:


A) 1.8 N
B) 2.6 N
C) 3.2 N
D) 3.8 N

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Select the incorrect statement for an inviscid flow.


A) The drag on a body in an inviscid flow is zero
B) The lift on a streamlined body can be approximated by neglecting viscous effects
C) The velocity distribution in the wake of a body can be approximated by neglecting viscous effects
D) The normal velocity component at the boundary of a body in an inviscid flow is zero

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\text {The pump inputs 2 \mathrm { hp } into the flow.}  The cast-iron pipe has a total length\text { The cast-iron pipe has a total length} \text {of 100 \mathrm {~m}. Estimate the flow rate.}


A) 0.018 m3/s0.018 \mathrm {~m} ^ { 3 } / \mathrm { s }
B) 0.024 m3/s0.024 \mathrm {~m} ^ { 3 } / \mathrm { s }
C) 0.034 m3/s0.034 \mathrm {~m} ^ { 3 } / \mathrm { s }
D) 0.042 m3/s0.042 \mathrm {~m} ^ { 3 } / \mathrm { s } \text {The pump inputs 2 \mathrm { hp } into the flow.}   \text { The cast-iron pipe has a total length}    \text {of 100 \mathrm {~m}. Estimate the flow rate.}  A)   0.018 \mathrm {~m} ^ { 3 } / \mathrm { s }  B)   0.024 \mathrm {~m} ^ { 3 } / \mathrm { s }  C)   0.034 \mathrm {~m} ^ { 3 } / \mathrm { s }  D)   0.042 \mathrm {~m} ^ { 3 } / \mathrm { s }

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A traffic flow on a freeway is very dense and it is proposed that possibly a fluid flow could simulate the flow. If it was decided to study the feasibility of the proposal, which flow would Be a possibility?


A) An incompressible flow
B) A compressible flow with M < 1
C) A compressible flow with M > 1
D) A compressible flow with M = 1

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\text {A line source of strength 2 \mathrm {~m} ^ { 2 } / \mathrm { s } is superposed with a velocity of \(8 \mathrm {~m} / \mathrm { s }\) producing along-}slender body that resembles the one shown. The thickness h of the body is nearest:\text {slender body that resembles the one shown. The thickness h of the body is nearest:}


A) 15 cm15 \mathrm {~cm}
B) 20 cm20 \mathrm {~cm}
C) 25 cm25 \mathrm {~cm}
D) 30 cm30 \mathrm {~cm}

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Oil separates a 20-mm-diameter rotating shaft from its 20.5-mm-diameter bearing. The bearing is 80 cm long and the shaft rotates at 2000 rpm. The velocity gradient at the bearing Surface is nearest:


A) 6840 m/s/m
B) 7260 m/s/m s
C) 8040 m/s/m
D) 9406 m/s/m

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