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Unformatted text preview: 571 Homework Assignment #4 Read Chapters 5 and 6 (except 6.1.3, 6.2.3 and 6.4) in Wilcox (Required)
Read Chapters and Sections 41 through 44 and 61 through 64 in Fox and McDonald (Optional) 4 Attached is a partial contour of the ARL 48inch (test section diameter) Water
Tunnel. The ﬂow is accelerated into the test section through a contraction nozzle.
A model is to be placed in the test section. At xt_in = 162.0 inches, the tunnel
radius is 24.0 inches, the model radius is 5.5 inches and the tunnel velocity is 50.0
ft/s. At xt_in = 18.0 inches, the tunnel radius is 30.36 inches. Assume; l—D 4b.), 1) Determine the model radius at xt_in = 18.0 inches for the tunnel velocity to
be 71.5 ft/s. 2) Determine the model contour (model radius versus xt_in) for the velocity to
decelerate linearly from 71.5 ft/s at xt_in = 18.0 inches to 50.0 ft/s at xt_in =
162.0 inches. 6.11 Water at 10°C ﬂows steadily with a mass ﬂow rate m = 62.8 kg/sec through the nozzle shown.
What are the average velocities U and u if the diameters are D = 20 cm and d = 5 cm? T U u _.i_ Problems 6.11, 6.12 56.61 An incompressible ﬂuid of density p ﬂows through the nozzle shown and discharges to the atmo
sphere. Determine the force required to hold the nozzle in place. You may assume the ﬂow is irrotational
and that all ﬂow properties are uniform across the nozzle. Express your answer as a function of p, U and D.
U’p h Ue, 0 Experimental measurements are made in a lowspeed air jet to determine the drag force
on a circular cylinder. Velocity measurements at two sections where the pressure is uniform and equal give the results shown. Evaluate the drag force on the cylinder. per
unit width. P‘Po“ 2%;le Problem 6.61 SE llw AssiﬂhqéﬁL , Amp 3/) 4.46 A two—dimensional reducing bend has a linear veloc 1 ity profile at section 1. The flow is uniform at sections 2 i and 3. The fluid, water, is incompressible and the flow i l is steady. Assume that the depth normal to the page is
w = 3 ft. (a) Find the magnitude and direction of the uniform
velocity at section 3. l l (b) Evaluate the net momentum flux through the bend
in the figure below. 4V3 ’13 == 1/
i fVLmaﬁlGWS w ,1 9:500 ,_ , com 388: 8:920 _m_x< oor 59:00 _mcc:._. LBm>> cor or ON 0
0') O
V. om 00 on (seuoul) smpea ...
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 Fall '09
 BRUNGART,TIMOTHY

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