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Fluid Mechanics
Fluid Mechanics With Engineering Applications
148 SOLVED PROBLEMS
Question: 4.SP.4
Figure S4.4 is of a cross section along the centerline of a circular pipe with a conically converging nozzle. An incompressible ideal fluid flows through at Q (0.1 + 0.05t) cfs, where tis in sec. Find the average velocity and acceleration of the flow at points D and B when t = 5 sec. ...
Verified Answer:
As a first step we sketch an approximate flow net ...
Question: 6.SP.4
The 2-in-diameter water jet with a velocity of 100 fps shown in Fig. S6.4 impinges on a single vane moving in the same direction (thus Fx=Fu ) at a velocity of 60 fps. (a) If β2=150° and friction losses over the vane make v2=0.9v1, compute the net force the water exerts on the vane. If this vane ...
Verified Answer:
(a) The velocity vector diagrams at entrance and e...
Question: 6.SP.1
The water passage in Fig. S6.l is 10 ft (3 m) wide normal to the plane of the figure. Determine the horizontal force acting on the shaded structure. Assume ideal flow. ...
Verified Answer:
(BG units) In free-surface flow such as this where...
Question: 6.SP.5
In Fig. S6.5a a curved pipe section 40 ft long is attached to a section of straight pipe. (a) Determine the resultant force on the curved pipe, and (b) find the horizontal component of the jet reaction. All significant data are given in the figure. Assume an ideal liquid with γ = 55 lb/ft³ . ...
Verified Answer:
Energy Eq. (5.29) between points 1 and 3 in Fig. S...
Question: 6.SP.3
A free jet of water with an initial diameter of 2 in she trikes the vane shown in Fig. S6.3. Given that θ=30° and V1=100fps . Owing to friction losses assume that V2=95fps . Flow occurs in a horizontal plane. Find the resultant force on the blade. ...
Verified Answer:
Take as a free body diagram the element of fluid (...
Question: 6.SP.2
Water flows through the double nozzle as shown in Fig. S6.2. Determine the magnitude and direction of the resultant force the water exerts on the nozzle. The velocity of both nozzle jets is 12 m /s . The axes of the pipe and both nozzles lie in a horizontal plane. γ=9.81kN/m³ . Neglect friction. ...
Verified Answer:
Continuity:
A_1 V_1=A_2 V_2+...
Question: 11.SP.2
Measurements made on the cross section of Fig. 11.11 are: Calculate the total discharge in the stream by the three different methods described. ...
Verified Answer:
Using Q=A V : (3) Assume float velocity = surfac...
Question: 16.SP.13
Repeat Sample Prob. 16.12, assuming the Francis turbine is at sea level with a water temperature of 80°F. Check the result against Fig. 16.16 ...
Verified Answer:
Table A.3 at sea level:
\quad \frac{p_{\tex...
Question: 16.SP.14
Two or more identical turbines are to be selected for an installation where the net head is 350 ft and the total flow is to be 600 cfs. Select turbines for this installation assuming 90 % efficiency for all turbines. ...
Verified Answer:
The total available power is
\frac{\gamma ...
Question: 16.SP.12
Find the maximum permissible head under which a Francis turbine (Ns=70) can operate if it is set 10 ft above tailwater at an elevation of 5000ft with water temperature at 60°F. ...
Verified Answer:
Table A.3 at
5000 \mathrm{ft}
eleva...
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