EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 31, Problem 7P
Use Excel to perform the same computation as in Fig.31.14, but insulate the right-hand edge and add a heat sink of
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4. Figure 1 shows a pump and pipe network being used to transport heptane at 120°F to a large,
elevated, closed storage tank. The tank is pressurized and maintained at 18 psia. The volumetric
flow rate of the heptane is 500 gpm.
a. Specify the nominal diameter of the check valve.
b. Determine the pump discharge pressure required (psia) to move the heptane
through the discharge pipe.
Plank
=
18 psia
Liquid level
Large pressurized
storage tank
40 ft
All pipes are 6-nom sch 40 commercial steel
Standard 90° elbows and 180° bend
Total length of straight pipe = 115 ft
Class 300 swing
check valve
INH
Pump
Figure 1: Pressurized storage tank system
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…
Chapter 31 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 31 - 31.1 Repeat Example 31.1, but for and a uniform...Ch. 31 - Repeat Example 31.2, but for boundary conditions...Ch. 31 - Apply the results of Prob. 31.2 to compute the...Ch. 31 - Use Galerkins method to develop an element...Ch. 31 - Prob. 5PCh. 31 - 31.6 Develop a user-friendly program to model the...Ch. 31 - 31.7 Use Excel to perform the same computation as...Ch. 31 - Use MATLAB or Mathcad to develop a contour plot...Ch. 31 - 31.9 Use Excel to model the temperature...Ch. 31 - 31.10 Use MATLAB or Mathcad to develop a contour...
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