EBK FUNDAMENTALS OF THERMAL-FLUID SCIEN
5th Edition
ISBN: 9781259151323
Author: CENGEL
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 14, Problem 56P
To determine
The possible ways for reduction of head loss associated with sharp turns.
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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 14 Solutions
EBK FUNDAMENTALS OF THERMAL-FLUID SCIEN
Ch. 14 - Prob. 1PCh. 14 - Consider laminar flow in a circular pipe. Is the...Ch. 14 - What is hydraulic diameter? How is it defined?...Ch. 14 - How is the hydrodynamic entry length defined for...Ch. 14 - Why are liquids usually transported in circular...Ch. 14 - What is the physical significance of the Reynolds...Ch. 14 - Consider a person walking first in air and then in...Ch. 14 - Show that the Reynolds number for flow in a...Ch. 14 - Which fluid at room temperature requires a larger...Ch. 14 - How does surface roughness affect the pressure...
Ch. 14 - Shown here is a cool picture of water being...Ch. 14 - Someone claims that the volume flow rate in a...Ch. 14 - Someone claims that the average velocity in a...Ch. 14 - Someone claims that the shear stress at the center...Ch. 14 - Someone claims that in fully developed turbulent...Ch. 14 - How does the wall shear stress τw vary along the...Ch. 14 - In the fully developed region of flow in a...Ch. 14 - How is the friction factor for flow in a pipe...Ch. 14 - Discuss whether fully developed pipe flow is one-,...Ch. 14 - Consider fully developed flow in a circular pipe...Ch. 14 - Consider fully developed laminar flow in a...Ch. 14 - Explain why the friction factor is independent of...Ch. 14 - What is turbulent viscosity? What causes it?
Ch. 14 - Consider fully developed laminar flow in a...Ch. 14 - How is head loss related to pressure loss? For a...Ch. 14 - Consider laminar flow of air in a circular pipe...Ch. 14 - What is the physical mechanism that causes the...Ch. 14 - The velocity profile for the fully developed...Ch. 14 - Water flows steadily through a reducing pipe...Ch. 14 - Water at 10°C (ρ = 999.7 kg/m3 and μ = 1.307 ×...Ch. 14 - Consider an air solar collector that is 1 m wide...Ch. 14 - Heated air at 1 atm and 100°F is to be transported...Ch. 14 - In fully developed laminar flow in a circular...Ch. 14 - The velocity profile in fully developed laminar...Ch. 14 - Repeat Prob. 14–34 for a pipe of inner radius 7...Ch. 14 - Water at 15°C (ρ = 999.1 kg/m3 and μ = 1.138 ×...Ch. 14 - Consider laminar flow of a fluid through a square...Ch. 14 - Repeat Prob. 14–37 for turbulent flow in smooth...Ch. 14 - Air enters a 10-m-long section of a rectangular...Ch. 14 - Water at 70°F passes through...Ch. 14 - Oil with ρ = 876 kg/m3 and μ = 0.24 kg/m·s is...Ch. 14 - Glycerin at 40°C with ρ = 1252 kg/m3 and μ = 0.27...Ch. 14 - Air at 1 atm and 60°F is flowing through a 1 ft ×...Ch. 14 - Prob. 44PCh. 14 - Prob. 45PCh. 14 - Oil with a density of 850 kg/m3 and kinematic...Ch. 14 - Prob. 47PCh. 14 - Prob. 48PCh. 14 - Prob. 50PCh. 14 - Prob. 51PCh. 14 - Prob. 52PCh. 14 - Prob. 53PCh. 14 - Prob. 54PCh. 14 - Prob. 55PCh. 14 - Prob. 56PCh. 14 - Prob. 57PCh. 14 - Water is to be withdrawn from an 8-m-high water...Ch. 14 - Prob. 59PCh. 14 - Prob. 60PCh. 14 - Prob. 61PCh. 14 - Prob. 62PCh. 14 - Prob. 63PCh. 14 - Prob. 64PCh. 14 - Consider two identical 2-m-high open tanks filled...Ch. 14 - A piping system involves two pipes of different...Ch. 14 - Prob. 67PCh. 14 - Prob. 68PCh. 14 - Prob. 69PCh. 14 - Prob. 70PCh. 14 - The water needs of a small farm are to be met by...Ch. 14 - Prob. 72PCh. 14 - Prob. 73PCh. 14 - Prob. 74PCh. 14 - Prob. 75PCh. 14 - Prob. 76PCh. 14 - Prob. 77PCh. 14 - Prob. 78PCh. 14 - Prob. 80PCh. 14 - Prob. 81PCh. 14 - A vented tanker is to be filled with fuel oil with...Ch. 14 - Two pipes of identical length and material are...Ch. 14 - Prob. 84PCh. 14 - Prob. 85PCh. 14 - Prob. 86PCh. 14 - Prob. 87PCh. 14 - Prob. 88PCh. 14 - Prob. 90PCh. 14 - Prob. 91PCh. 14 - Prob. 92PCh. 14 - Prob. 93PCh. 14 - Prob. 94RQCh. 14 - Prob. 95RQCh. 14 - Prob. 96RQCh. 14 - Prob. 97RQCh. 14 - Prob. 98RQCh. 14 - Prob. 99RQCh. 14 - Repeat Prob. 14–99E assuming the pipe is inclined...Ch. 14 - Prob. 101RQCh. 14 - Prob. 102RQCh. 14 - Prob. 103RQCh. 14 - Prob. 104RQCh. 14 - Two pipes of identical diameter and material are...Ch. 14 - Prob. 106RQCh. 14 - Prob. 107RQCh. 14 - Prob. 108RQCh. 14 - Prob. 109RQCh. 14 - Prob. 110RQCh. 14 - Prob. 111RQCh. 14 - Prob. 112RQCh. 14 - Prob. 114RQCh. 14 - Prob. 115RQCh. 14 - Prob. 116RQCh. 14 - Prob. 118RQ
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