EBK SYSTEM DYNAMICS
3rd Edition
ISBN: 8220100254963
Author: Palm
Publisher: MCG
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Textbook Question
Chapter 7, Problem 7.23P
(a) Develop a model of the two liquid heights in the system shown in Figure P7.23. The inflow rate q,ni(t) is a mass flow rate,
(b) Using the values = R, R2= 3R. A | = A, and A2— 4A, find the transfer function
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13.38 Consider the attic of a home located in a hot climate.
The floor of the attic is characterized by a width of
L₁ = 8 m while the roof makes an angle of 0 = 30° from
the horizontal direction, as shown in the schematic.
The homeowner wishes to reduce the heat load to the
home by adhering bright aluminum foil (ε = 0.07) onto
the surfaces of the attic space. Prior to installation of
the foil, the surfaces are of emissivity & = 0.90.
Attic
A2, 82, T2 0 = 30°
A1, E1, T₁
土
L₁ = 8 m
(a) Consider installation on the bottom of the attic
roof only. Determine the ratio of the radiation heat
transfer after to before the installation of the foil.
(b) Determine the ratio of the radiation heat transfer
after to before installation if the foil is installed
only on the top of the attic floor.
(c) Determine the ratio of the radiation heat transfer if
the foil is installed on both the roof bottom and the
floor top.
13.1
Determine F2 and F2 for the following configura-
tions using the reciprocity theorem and other basic
shape factor relations. Do not use tables or charts.
(a) Small sphere of area A, under a concentric hemi-
sphere of area A₂ = 3A₁
A₂
A1
(a)
(b) Long duct. Also, what is F₁₂?
A₂
Αν
(b)
(c) Long inclined plates (point B is directly above the
center of A₁)
B
100 mm
A₂
- 220 mm
(c)
(d) Long cylinder lying on infinite plane
+
A₁
Az
(d)
(e) Hemisphere-disk arrangement
-A₂, hemisphere,
diameter D
A₂
A₁, disk,
diameter D/2
(e)
(f) Long, open channel
1 m
AA₂
2 m
(f)
(g) Long cylinders with A₁ = 4A₁. Also, what is F₁₂?
-D₁
A1
-A₂
-D2
(e)
(h) Long, square rod in a long cylinder. Also, what
is F22?
w=D/5
18
A₁
-A2
(h)
-D
13.9 Determine the shape factor, F12, for the rectangles
shown.
6 m
1
3 m
6 m
1 m
2
6 m
1
0.5 m
2
1 m
(a) Perpendicular rectangles
without a common edge.
-1 m.
(b) Parallel rectangles of
unequal areas.
Chapter 7 Solutions
EBK SYSTEM DYNAMICS
Ch. 7 - Prob. 7.1PCh. 7 - Refer to the water storage and supply system shown...Ch. 7 - Prob. 7.3PCh. 7 - In Figure P7.4 the piston of area A is connected...Ch. 7 - Refer to Figure 7.1.4a. and suppose that p\ — p2=...Ch. 7 - Pure water flows into a mixing tank of volume V =...Ch. 7 - Consider the mixing tank treated in Problem 7.6....Ch. 7 - Derive the expression for the fluid capacitance of...Ch. 7 - Prob. 7.9PCh. 7 - Prob. 7.10P
Ch. 7 - 7.11 Derive the expression for the capacitance of...Ch. 7 - Air flows in a certain cylindrical pipe 1 m long...Ch. 7 - Derive the expression for the linearized...Ch. 7 - Consider the cylindrical container treated in...Ch. 7 - A certain tank has a bottom area A = 20 m2. The...Ch. 7 - A certain tank has a circular bottom area A = 20...Ch. 7 - The water inflow rate to a certain tank was kept...Ch. 7 - Prob. 7.18PCh. 7 - Prob. 7.19PCh. 7 - In the liquid level system shown in Figure P7.20,...Ch. 7 - The water height in a certain tank was measured at...Ch. 7 - Derive the model for the system shown in Figure...Ch. 7 - (a) Develop a model of the two liquid heights in...Ch. 7 - Prob. 7.24PCh. 7 - Design a piston-type damper using an oil with a...Ch. 7 - Prob. 7.26PCh. 7 - 7.27 An electric motor is sometimes used to move...Ch. 7 - Prob. 7.28PCh. 7 - Prob. 7.29PCh. 7 - Figure P7.3O shows an example of a hydraulic...Ch. 7 - Prob. 7.31PCh. 7 - Prob. 7.32PCh. 7 - Prob. 7.33PCh. 7 - Prob. 7.34PCh. 7 - Prob. 7.35PCh. 7 - Prob. 7.36PCh. 7 - Prob. 7.37PCh. 7 - (a) Determine the capacitance of a spherical tank...Ch. 7 - Obtain the dynamic model of the liquid height It...Ch. 7 - Prob. 7.40PCh. 7 - Prob. 7.41PCh. 7 - Prob. 7.42PCh. 7 - Prob. 7.43PCh. 7 - Prob. 7.44PCh. 7 - Prob. 7.45PCh. 7 - The copper shaft shown in Figure P7.46 consists of...Ch. 7 - A certain radiator wall is made of copper with a...Ch. 7 - A particular house wall consists of three layers...Ch. 7 - A certain wall section is composed of a 12 in. by...Ch. 7 - Prob. 7.50PCh. 7 - Prob. 7.51PCh. 7 - A steel tank filled with water has a volume of...Ch. 7 - Prob. 7.53PCh. 7 - Prob. 7.54PCh. 7 - Prob. 7.55P
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