Fundamentals of Thermal-Fluid Sciences
5th Edition
ISBN: 9780078027680
Author: Yunus A. Cengel Dr., Robert H. Turner, John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 14, Problem 83P
To determine
The ratio of flow rates.
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20.
[Ans. 9; 71.8 mm]
A semi-elliptical laminated spring is made of 50 mm wide and 3 mm thick plates. The length between
the supports is 650 mm and the width of the band is 60 mm. The spring has two full length leaves and
five graduated leaves. If the spring carries a central load of 1600 N, find:
1. Maximum stress in full length and graduated leaves for an initial condition of no stress in the
leaves.
2. The maximum stress if the initial stress is provided to cause equal stress when loaded.
[Ans. 590 MPa ; 390 MPa ; 450 MPa ; 54 mm]
3. The deflection in parts (1) and (2).
Q6/ A helical square section spring is set inside another, the outer spring having a free
length of 35 mm greater than the inner spring. The dimensions of each spring are as
follows:
Mean diameter (mm)
Side of square section (mm)
Active turns
Outer
Inner
Spring
Spring
120
70
8
7
20
15
Determine the (1) Maximum deflection of the two springs and (2) Equivalent spring
rate of the two springs after sufficient load has been applied to deflect the outer
spring 60 mm. Use G = 83 GN/m².
Q2/ The bumper springs of a railway carriage are to be made of rectangular section wire.
The ratio of the longer side of the wire to its shorter side is 1.5, and the ratio of mean
diameter of spring to the longer side of wire is nearly equal to 6. Three such springs
are required to bring to rest a carriage weighing 25 kN moving with a velocity of
75 m/min with a maximum deflection of 200 mm. Determine the sides of the
rectangular section of the wire and the mean diameter of coils when the shorter side is
parallel to the axis of the spring. The allowable shear stress is not to exceed 300 MPa
and G = 84 kN/mm².
Q6/ A belical
Chapter 14 Solutions
Fundamentals of Thermal-Fluid Sciences
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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