Fluid Mechanics
8th Edition
ISBN: 9780073398273
Author: Frank M. White
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 3, Problem 3.47P
A liquid jet of velocity Vjand diameter Djstrikes a fixed hollow cone, as in Fig. P3.47, and deflects back as a conical sheet at the same velocity. Find the cone angle
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Required information
A one-shell-pass and eight-tube-passes heat exchanger is used to heat glycerin (cp=0.60 Btu/lbm.°F) from 80°F to 140°F
by hot water (Cp = 1.0 Btu/lbm-°F) that enters the thin-walled 0.5-in-diameter tubes at 175°F and leaves at 120°F. The total
length of the tubes in the heat exchanger is 400 ft. The convection heat transfer coefficient is 4 Btu/h-ft²°F on the glycerin
(shell) side and 70 Btu/h-ft²°F on the water (tube) side.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
Determine the rate of heat transfer in the heat exchanger before any fouling occurs.
Correction factor F
1.0
10
0.9
0.8
R=4.0 3.0 2.0.15 1.0 0.8.0.6 0.4 0.2
0.7
0.6
R=
T1-T2
12-11
0.5
12-11
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
(a) One-shell pass and 2, 4, 6, etc. (any multiple of 2), tube passes
P=
T₁-11
The rate of heat transfer in the heat exchanger is
Btu/h.
!
Required information
Air at 25°C (cp=1006 J/kg.K) is to be heated to 58°C by hot oil at 80°C (cp = 2150 J/kg.K) in a cross-flow heat exchanger
with air mixed and oil unmixed. The product of heat transfer surface area and the overall heat transfer coefficient is 750
W/K and the mass flow rate of air is twice that of oil.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
Air
Oil
80°C
Determine the effectiveness of the heat exchanger.
In an industrial facility, a counter-flow double-pipe heat exchanger uses superheated steam at a temperature of 155°C to
heat feed water at 30°C. The superheated steam experiences a temperature drop of 70°C as it exits the heat exchanger.
The water to be heated flows through the heat exchanger tube of negligible thickness at a constant rate of 3.47 kg/s. The
convective heat transfer coefficient on the superheated steam and water side is 850 W/m²K and 1250 W/m²K,
respectively. To account for the fouling due to chemical impurities that might be present in the feed water, assume
a fouling factor of 0.00015 m²-K/W for the water side.
The specific heat of water is determined at an average temperature of (30 +70)°C/2 = 50°C and is taken to be
J/kg.K.
Cp=
4181
Water
Steam
What would be the required heat exchanger area in case of parallel-flow arrangement?
The required heat exchanger area in case of parallel-flow arrangement is
1m².
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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