Applied Fluid Mechanics
7th Edition
ISBN: 9780133414622
Author: UNTENER
Publisher: YUZU
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Chapter 8, Problem 8.18PP
Repeat Problem 8.17 for an oil temperature of
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Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
1 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t > 0:
Analytically (hand calculations)
Two springs and two masses are attached in a straight vertical line as shown in Figure Q3. The system is set
in motion by holding the mass m₂ at its equilibrium position and pushing the mass m₁ downwards of its
equilibrium position a distance 2 m and then releasing both masses. if m₁ = m₂ = 1 kg, k₁ = 3 N/m and
k₂ = 2 N/m.
www.m
k₁ = 3
(y₁ = 0).
m₁ = 1
k2=2
(y₂ = 0)
|m₂ = 1
Y2
y 2
System in
static
equilibrium
(Net change in
spring length
=32-31)
System in
motion
Figure Q3 - Coupled mass-spring system
Determine the equations of motion y₁(t) and y₂(t) for the two masses m₁ and m₂ respectively:
Analytically (hand calculations)
Chapter 8 Solutions
Applied Fluid Mechanics
Ch. 8 - A 4-in-ductile iron pipe carries 0.20ft3/s of...Ch. 8 - Calculate the minimum velocity of flow in ft/s of...Ch. 8 - Calculate the maximum volume flow rate of fuel oil...Ch. 8 - Calculate the Reynolds number for the flow of each...Ch. 8 - Determine the smallest metric hydraulic copper...Ch. 8 - In an existing installation, SAE 10 oil (sg = 0.89...Ch. 8 - From the data in Appendix C, we can see that...Ch. 8 - Compute the Reynolds number for the flow of 325...Ch. 8 - Benzene (sg = 0.86 ) at 60c C is flowing at 25...Ch. 8 - Hot water at 80 C is flowing to a dishwasher at a...
Ch. 8 - A major water main is an 18 -in ductile iron pipe....Ch. 8 - ]8.12 An engine crankcase contains SAE 10 motor...Ch. 8 - Repeat Problem 8.12 for an oil temperature of 160...Ch. 8 - At approximately what volume flow rate will propyl...Ch. 8 - SAE 30 oil (sg = 0.89 ) is flowing at 45 L/min...Ch. 8 - Repeat Problem 8.15 for an oil temperature of 160...Ch. 8 - Repeat Problem 8.15, except the tube is 50 mm...Ch. 8 - Repeat Problem 8.17 for an oil temperature of 0 C.Ch. 8 - The lubrication system for a punch press delivers...Ch. 8 - After the press has run for some time, the...Ch. 8 - A system is being designed to carry 500 gal/min of...Ch. 8 - The range of Reynolds numbers between 2000 and...Ch. 8 - The water line described in Problem 8.22was a cold...Ch. 8 - In a dairy, milk at 100 F is reported to have a...Ch. 8 - In a soft-drink bottling plant, the concentrated...Ch. 8 - ]8.26 A certain jet fuel has a kinematic viscosity...Ch. 8 - Crude oil is flowing vertically downward through...Ch. 8 - Water at 75 C is flowing in a standard hydraulic...Ch. 8 - Fuel oil is flowing in a 4 -in Schedule 40 steel...Ch. 8 - A 3-in Schedule 40 steel pipe is 5000 ft long and...Ch. 8 - Benzene at 60 C is flowing in a DN 25 Schedule 80...Ch. 8 - As a test to determine the effective wall...Ch. 8 - Water at F flows from a storage tank through ft...Ch. 8 - A water main is an 18 -in-diameter concrete...Ch. 8 - Figure 8.12shows a portion of a fire protection...Ch. 8 - A submersible deep-well pump delivers 745 gal/h of...Ch. 8 - On a farm, water at 60 F is delivered from a...Ch. 8 - Figure 8.15 shows a system for delivering lawn...Ch. 8 - A pipeline transporting crude oil (sg = 0.93 ) at...Ch. 8 - For the pipeline described in Problem 8.39,...Ch. 8 - Water at 10 C flows at the rate of 900 L/min from...Ch. 8 - For the system shown in Fig. 8.17, compute the...Ch. 8 - Fuel oil (sg = 0.94 ) is being delivered to a...Ch. 8 - Figure 8.18 shows a system used to spray polluted...Ch. 8 - In a chemical processing system, the flow of...Ch. 8 - Water at 60 F is being pumped from a stream to a...Ch. 8 - For the pump described in Problem 8.46, if the...Ch. 8 - Gasoline at 50 F flows from point A to point B...Ch. 8 - Figure 8.20 shows a pump recirculating 300 gal/min...Ch. 8 - Linseed oil at 25 C flows at 3.65 in a standard...Ch. 8 - Glycerin at 25 C flows through a straight...Ch. 8 - Water at 75 C flows in a standard hydraulic copper...Ch. 8 - Benzene (sg = 0.88 ) at 60 C, flows in a DN 25...Ch. 8 - Water at 80 F flows in a 6 -in coated ductile iron...Ch. 8 - Water at 50 F flows at 15.0 ft3/s in a concrete...Ch. 8 - Water at 60 F flows at 1500 gal/min in a 10 -in...Ch. 8 - ]8.57 A liquid fertilizer solution (sg = 1.10 )...Ch. 8 - Crude oil (sg = 0.93 ) at 100 C flows at a rate of...Ch. 8 - Water at 65 C flows in a DN 40 Schedule 40 steel...Ch. 8 - Propyl alcohol flows in a standard hydraulic...Ch. 8 - ]3.61 Water at 70 F flows in a 12 -in-diameter...Ch. 8 - Heavy fuel oil at 77 F flows in a 6 -in Schedule...Ch. 8 - Water flows at a rate of 1.50ft3/s through 550 ft...Ch. 8 - Compute the energy loss as water flows in a...Ch. 8 - ]8.65 A water main is an 18 -in-diameter concrete...Ch. 8 - A fire protection system includes 1500 ft of 10...Ch. 8 - ]8.67 A standard hydraulic copper tube, 120 mm...Ch. 8 - Compute the energy loss as 2.0ft3/s of water flows...Ch. 8 - It is desired to flow 2.0ft3/s of water through...Ch. 8 - Specify a suitable size of new, clean Schedule 40...Ch. 8 - For the pipe selected in Problem 8.70, compute the...Ch. 8 - Compare the head loss that would result from the...Ch. 8 - In Problem 6.107, a theoretical flow rate of water...Ch. 8 - A pipeline is needed to transport medium fuel oil...Ch. 8 - Medium fuel oil at 25 C is to be pumped at a flow...Ch. 8 - A tremendous amount of study has gone into the...Ch. 8 - In a given installation, it is determined that the...Ch. 8 - "Laminar" fountains have become quite popular due...Ch. 8 - Use PIPE-FLO to model a straight horizontal run of...
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