Fluid Mechanics
8th Edition
ISBN: 9780073398273
Author: Frank M. White
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 3, Problem 3.5P
Water at 20°C flows through a 5-in-diameter smooth pipe at a high Reynolds number, For which the velocity profile is approximated by
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A liquid of density 1150 kg/m3 flows
steadily through a pipe of varying diameter
and height. At Location 1 along the pipe,
the flow speed is 9.47 m/s and the pipe
diameter d1 is 11.7 cm. At Location 2, the
pipe diameter d2 is 17.7 cm. At Location 1,
the pipe is Ay=8.19 m higher than it is at
Location 2. Ignoring viscosity, calculate the
difference APbetween the fluid pressure at
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The ethanol solution is pumped into a vessel 25 m above the reference point through a 25 mm diameter steel pipe at a rate of 8 m3/hour. The length of the pipe is 35m and there are 2 elbows. Calculate the pump power requirement. The properties of the solution are density 975 kg/m3 and viscosity 4x 10-4 Pa s.
a. Reynolds number =
b. Energy Loss along a straight pipe = J/kg.
c. Energy Loss in turns = J/kg.
d. Total energy to overcome friction = J/kg.
e. Energy to raise water to height = J/kg.
f. Theoretical energy requirement of the pump kg ethanol/second = J/kg.
g. Actual pump power requirement = watt.
Question 3
Water flows through a 5 cm diameter pipe with a velocity of 4.5 m/s as shown in Figure
Q3. The relative roughness of the pipe is 0.004 and the loss coefficient for the exit is 1.0.
The dynamics viscosity of water is 1.12x10³ N.s/m².
(a) Write a balanced energy equation.
(b) Calculate the Reynold number in the water pipe,
(c) Determine the friction factor, and
(d) Determine the height, h, to which the water rises in the piezometer tube, in m.
4.5 m/s
KARAYELASAMEGASKALAVEN
Open
5 cm
2.5 m
Figure Q3
2.5 m
Chapter 3 Solutions
Fluid Mechanics
Ch. 3 - Prob. 3.1PCh. 3 - Consider the angular momentum relation in the form...Ch. 3 - For steady low-Reynolds-number (laminar) flow...Ch. 3 - Water at 20°C flows through a long elliptical duct...Ch. 3 - Water at 20°C flows through a 5-in-diameter smooth...Ch. 3 - Water fills a cylindrical tank to depth h. The...Ch. 3 - A spherical tank, of diameter 35 cm, is leaking...Ch. 3 - Three pipes steadily deliver water at 20°C to a...Ch. 3 - A laboratory test tank contains seawater of...Ch. 3 - Water flowing through an 8-cm-diameter pipe enters...
Ch. 3 - Water flows from a faucet into a sink at 3 U.S....Ch. 3 - The pipe flow in Fig, P3.12 fills a cylindrical...Ch. 3 - The cylindrical container in Fig. P3.13 is 20 cm...Ch. 3 - The open tank in Fig. F3.14 contains water at 20°C...Ch. 3 - Water, assumed incompressible, flows steadily...Ch. 3 - P3.16 An incompressible fluid flows past an...Ch. 3 - Incompressible steady flow in the inlet between...Ch. 3 - Gasoline enters section 1 in Fig, P3.18 at 0.5...Ch. 3 - Water from a storm drain flows over an outfall...Ch. 3 - Oil (SG = 0.89) enters at section 1 in Fig, P3.20...Ch. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Prob. 3.23PCh. 3 - Prob. 3.24PCh. 3 - Prob. 3.25PCh. 3 - A thin layer of liquid, draining from an inclined...Ch. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - Prob. 3.29PCh. 3 - Prob. 3.30PCh. 3 - Prob. 3.31PCh. 3 - Prob. 3.32PCh. 3 - In some wind tunnels the test section is...Ch. 3 - A rocket motor is operati ng steadily, as shown in...Ch. 3 - In contrast to the liquid rocket in Fig. P3.34,...Ch. 3 - The jet pump in Fig. P3.36 injects water at U1 =...Ch. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - A wedge splits a sheet of 20°C water, as shown in...Ch. 3 - The water jet in Fig, P3,40 strikes normal to a...Ch. 3 - P3.41 In Fig. P3.41 the vane turns the water jet...Ch. 3 - Prob. 3.42PCh. 3 - P3.43 Water at 20°C flows through a 5-cm-diameter...Ch. 3 - P3.44 When a uniform stream flows past an immersed...Ch. 3 - Water enters and leaves the 6-cm-diameter pipe...Ch. 3 - When a jet strikes an inclined fixed plate, as in...Ch. 3 - A liquid jet of velocity Vjand diameter Djstrikes...Ch. 3 - The small boat in Fig. P3.48 is driven at a steady...Ch. 3 - The horizontal nozzle in Fig. P3.49 has D1 = 12 in...Ch. 3 - Prob. 3.50PCh. 3 - P3.51 A liquid jet of velocity Vj and area Aj...Ch. 3 - A large commercial power washer delivers 21...Ch. 3 - Prob. 3.53PCh. 3 - For the pipe-flow-reducing section of Fig. P3.54,...Ch. 3 - In Fig. P3.55 the jet strikes a vane that moves to...Ch. 3 - Prob. 3.56PCh. 3 - Prob. 3.57PCh. 3 - Prob. 3.58PCh. 3 - Prob. 3.59PCh. 3 - Prob. 3.60PCh. 3 - Prob. 3.61PCh. 3 - P3.62 Water at 20°C exits to the standard...Ch. 3 - Water flows steadily through the box in Fig....Ch. 3 - The 6-cm-diameter 20°C water jet in Fig. P3.64...Ch. 3 - Prob. 3.65PCh. 3 - Prob. 3.66PCh. 3 - Prob. 3.67PCh. 3 - Prob. 3.68PCh. 3 - P3.69 A uniform rectangular plate, 40 cm long and...Ch. 3 - Prob. 3.70PCh. 3 - Prob. 3.71PCh. 3 - When immersed in a uniform stream, a thick...Ch. 3 - P3.73 A pump in a tank of water at 20°C directs a...Ch. 3 - P3.74 Water at 20°C flows down through a vertical,...Ch. 3 - Prob. 3.75PCh. 3 - Prob. 3.76PCh. 3 - Prob. 3.77PCh. 3 - Prob. 3.78PCh. 3 - P3.79 The Saturn V rocket in the chapter opener...Ch. 3 - Prob. 3.80PCh. 3 - Prob. 3.81PCh. 3 - Prob. 3.82PCh. 3 - Prob. 3.83PCh. 3 - Air at 20°C and 1 atm flows in a 25-cm-diameter...Ch. 3 - Prob. 3.85PCh. 3 - Prob. 3.86PCh. 3 - Prob. 3.87PCh. 3 - Prob. 3.88PCh. 3 - Prob. 3.89PCh. 3 - Prob. 3.90PCh. 3 - Prob. 3.91PCh. 3 - Prob. 3.92PCh. 3 - Prob. 3.93PCh. 3 - A water jet 3 in in diameter strikes a concrete...Ch. 3 - P3.95 A tall water tank discharges through a...Ch. 3 - Prob. 3.96PCh. 3 - Prob. 3.97PCh. 3 - Prob. 3.98PCh. 3 - Prob. 3.99PCh. 3 - Prob. 3.100PCh. 3 - Prob. 3.101PCh. 3 - Prob. 3.102PCh. 3 - Suppose that the solid-propellant rocket of Prob....Ch. 3 - A rocket is attached to a rigid horizontal rod...Ch. 3 - Extend Prob. P3.104 to the case where the rocket...Ch. 3 - Actual airflow past a parachute creates a variable...Ch. 3 - Prob. 3.107PCh. 3 - Prob. 3.108PCh. 3 - Prob. 3.109PCh. 3 - Prob. 3.110PCh. 3 - Prob. 3.111PCh. 3 - A jet of alcohol strikes the vertical plate in...Ch. 3 - Prob. 3.113PCh. 3 - Prob. 3.114PCh. 3 - Prob. 3.115PCh. 3 - P3.116 For the container of Fig. P3.116 use...Ch. 3 - Water at 20°C, in the pressurized tank of Fig....Ch. 3 - P3.118 Bernoulli's 1738 treatise Hydrodynamica...Ch. 3 - Prob. 3.119PCh. 3 - Prob. 3.120PCh. 3 - Prob. 3.121PCh. 3 - Prob. 3.122PCh. 3 - The air-cushion vehicle in Fig, P3.123 brings in...Ch. 3 - Prob. 3.124PCh. 3 - Prob. 3.125PCh. 3 - Prob. 3.126PCh. 3 - Prob. 3.127PCh. 3 - Prob. 3.128PCh. 3 - Prob. 3.129PCh. 3 -
P3.130 In Fig. P3.130 the fluid is gasoline at...Ch. 3 - Prob. 3.131PCh. 3 - Prob. 3.132PCh. 3 - Prob. 3.133PCh. 3 - Prob. 3.134PCh. 3 - Prob. 3.135PCh. 3 - Air, assumed frictionless, flows through a tube,...Ch. 3 - In Fig. P3.137 the piston drives water at 20°C....Ch. 3 - Prob. 3.138PCh. 3 - Prob. 3.139PCh. 3 - Prob. 3.140PCh. 3 - Prob. 3.141PCh. 3 - Prob. 3.142PCh. 3 - Prob. 3.143PCh. 3 - Prob. 3.144PCh. 3 - Prob. 3.145PCh. 3 - The pump in Fig. P3.146 draws gasoline at 20°C...Ch. 3 - The very large water tank in Fig. P3.147 is...Ch. 3 - Prob. 3.148PCh. 3 - P3.149 The horizontal lawn sprinkler in Fig....Ch. 3 - Prob. 3.150PCh. 3 - Prob. 3.151PCh. 3 - Prob. 3.152PCh. 3 - Prob. 3.153PCh. 3 - Prob. 3.154PCh. 3 - Prob. 3.155PCh. 3 - Prob. 3.156PCh. 3 - Prob. 3.157PCh. 3 - Prob. 3.158PCh. 3 - Prob. 3.159PCh. 3 - Prob. 3.160PCh. 3 - Prob. 3.161PCh. 3 - The waterwheel in Fig. P3.162 is being driven at...Ch. 3 - Prob. 3.163PCh. 3 - Prob. 3.164PCh. 3 - Prob. 3.165PCh. 3 - A power plant on a river, as in Fig. P3.166, must...Ch. 3 - Prob. 3.167PCh. 3 - Prob. 3.168PCh. 3 - P3.169 When the pump in Fig. P3.169 draws 220 m3/h...Ch. 3 - Prob. 3.170PCh. 3 - P3.171 Consider a turbine extracting energy from a...Ch. 3 - Prob. 3.172PCh. 3 - Prob. 3.173PCh. 3 - Prob. 3.174PCh. 3 - Prob. 3.175PCh. 3 - Prob. 3.176PCh. 3 - Prob. 3.177PCh. 3 - Prob. 3.178PCh. 3 - Prob. 3.179PCh. 3 - Prob. 3.180PCh. 3 - Prob. 3.181PCh. 3 - Prob. 3.182PCh. 3 - Prob. 3.183PCh. 3 - The large turbine in Fig. P3.184 diverts the river...Ch. 3 - Prob. 3.185PCh. 3 - Prob. 3.1WPCh. 3 - Prob. 3.2WPCh. 3 - Prob. 3.3WPCh. 3 - Prob. 3.4WPCh. 3 - W3.5 Consider a long sewer pipe, half full of...Ch. 3 - Put a table tennis ball in a funnel, and attach...Ch. 3 - How does a siphon work? Are there any limitations...Ch. 3 - Prob. 3.1FEEPCh. 3 - Prob. 3.2FEEPCh. 3 - In Fig, FE3.1 water exits from a nozzle into...Ch. 3 - Prob. 3.4FEEPCh. 3 - Prob. 3.5FEEPCh. 3 - FE3.6 A fireboat pump delivers water to a...Ch. 3 - A fireboat pump delivers water to a vertical...Ch. 3 - Prob. 3.8FEEPCh. 3 - Water flowing in a smooth 6-cm-diameter pipe...Ch. 3 - Prob. 3.10FEEPCh. 3 - In a certain industrial process, oil of density ...Ch. 3 - Prob. 3.2CPCh. 3 - Prob. 3.3CPCh. 3 - Prob. 3.4CPCh. 3 - Prob. 3.5CPCh. 3 - Prob. 3.1DP
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