Applied Fluid Mechanics
7th Edition
ISBN: 9780133414622
Author: UNTENER
Publisher: YUZU
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Chapter 8, Problem 8.77PP
In a given installation, it is determined that the pipe size used for the project was
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2. In a particular section of a fluid system, a 30% ethylene glycol mixture is flowing through a 6-
nom xs cast iron pipe at a temperature of 0°C. In this section of piping, the velocity must be
maintained in the range 1.5 m/s
1. Steam leaves the boiler of a power plant at 5 MPa, 500°C as shown in the following figure. As
the steam passes to the turbine, the temperature drops to 496°C before it enters the turbine due to
a heat loss through the pipe's insulation. The pressure drop in the pipe connecting the boiler to
the turbine is negligible. The steam then passes through an adiabatic turbine and exits at 10 kPa.
The turbine has an isentropic efficiency of 85% and is delivering 1000 MW of power. Determine
the following.
P = 5 MPa
T₁ = 500°C
Boiler
P₁₂ =5 MPa
Τ =496°C
7 = 85%
W = 1,000 MW
P=1 atm
To=25°C
Turbine
3+ P = 10 kPa
a. The heat transfer rate from the pipe connecting the boiler to the turbine (in MW)
b. The change in flow exergy rate as the steam flows through the pipe (MW). This represents
exergy that is lost to the environment and unavailable for power delivery. Comment on the
magnitude of this exergy loss compared to the power delivered by the turbine. What factor(s)
would warrant better…
An aluminum rod of length L
=
1m has mass density p = 2700 kg and
Young's modulus E = 70 GPa. The rod is fixed at both ends. The exact
natural eigenfrequencies of the rod are wexact
E
=
√
ρ
for n=1,2,3,. . . .
1. What is the minimum number of linear elements necessary to
determine the fundamental frequency w₁ of the system? Discretize
the rod in that many elements of equal length, assemble the global
system of equations KU = w² MU, and find the fundamental
frequency w₁. Compute the relative error e₁ = (w1 - wexact) /w exact
Sketch the fundamental mode of vibration.
2. Use COMSOL to solve the same problem. Show the steps necessary
to find the fundamental frequency and mode of the rod. What is the
relative error using linear elements and a normal mesh?
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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