EBK FUNDAMENTALS OF THERMAL-FLUID SCIEN
5th Edition
ISBN: 9781259151323
Author: CENGEL
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 17, Problem 77P
To determine
The thickness of the insulation required.
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An elastic bar of length L = 1m and cross section A = 1cm2 spins with
angular velocity ω about an axis, as shown in the figure below. The
radial acceleration at a generic point x along the bar is a(x) = ω2x,
where ω= 100rad/s is the angular velocity. The bar is pinned on the
rotation axis at x = 0. A mass M = 1kg is attached to the right end of
the bar. Due to the radial acceleration, the bar stretches along x with
displacement function u(x). The displacement u(x) solves the BVP
(strong form) sketched below:
d
dx (σ(x)) + ρa(x) = 0 PDE
σ(x) = E du
dx Hooke’s law
(1)
u(0) =?? essential BC
σ(L) =?? natural BC
where σ(x) is the axial stress in the rod, ρ= 2700kg /m3 is the mass
density, and E = 70GPa is the Young’s modulus
1. Define appropriate BCs for the strong BVP
2. Find the solution of the strong BVP analytically
3. Derive the weak form of the BVP.
Gruebler's formula for the following mechanism?
w/I
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العنوان
I need a detailed drawing with explanation
SOLL
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4
حكا
The guide vane angle of a reaction turbine (Francis type
make 20° with the tangent. The moving blade angle at entry is
120°. The external diameter of runner is 450 mm and the internal
diameter is 300 mm. Runner width at entry is 62.5mm and at exit
100mm. Calculate the blade angle at exit for radial discharge.
96252
-20125
750 ×2.01
Chapter 17 Solutions
EBK FUNDAMENTALS OF THERMAL-FLUID SCIEN
Ch. 17 - Prob. 1PCh. 17 - Consider heat conduction through a plane wall....Ch. 17 - What does the thermal resistance of a medium...Ch. 17 - Can we define the convection resistance for a unit...Ch. 17 - Consider steady heat transfer through the wall of...Ch. 17 - How is the combined heat transfer coefficient...Ch. 17 - Why are the convection and the radiation...Ch. 17 - Consider steady one-dimensional heat transfer...Ch. 17 - Someone comments that a microwave oven can be...Ch. 17 - Consider two cold canned drinks, one wrapped in a...
Ch. 17 - Consider a surface of area A at which the...Ch. 17 - How does the thermal resistance network associated...Ch. 17 - Consider steady one-dimensional heat transfer...Ch. 17 - Consider a window glass consisting of two...Ch. 17 - Prob. 15PCh. 17 - Prob. 16PCh. 17 - Prob. 17PCh. 17 - Prob. 18PCh. 17 - Prob. 19PCh. 17 - Consider a power transistor that dissipates 0.2 W...Ch. 17 - A 1.0 m × 1.5 m double-pane window consists of two...Ch. 17 - Consider a 1.2-m-high and 2-m-wide glass window...Ch. 17 - Prob. 23PCh. 17 - Prob. 24PCh. 17 - Prob. 26PCh. 17 - Prob. 27PCh. 17 - Prob. 28PCh. 17 - Prob. 29PCh. 17 - Prob. 30PCh. 17 - A 2-m × 1.5-m section of wall of an industrial...Ch. 17 - The wall of a refrigerator is constructed of...Ch. 17 - Prob. 34PCh. 17 - Prob. 35PCh. 17 - Prob. 36PCh. 17 - What is thermal contact resistance? How is it...Ch. 17 - Will the thermal contact resistance be greater for...Ch. 17 - Explain how the thermal contact resistance can be...Ch. 17 - A wall consists of two layers of insulation...Ch. 17 - A plate consists of two thin metal layers pressed...Ch. 17 - Consider two surfaces pressed against each other....Ch. 17 - Prob. 43PCh. 17 - Prob. 44PCh. 17 - Prob. 45PCh. 17 - Prob. 46PCh. 17 - Prob. 47PCh. 17 - Prob. 48PCh. 17 - Prob. 49PCh. 17 - Prob. 50PCh. 17 - Prob. 51PCh. 17 - Prob. 52PCh. 17 - Prob. 53PCh. 17 - When plotting the thermal resistance network...Ch. 17 - Prob. 55PCh. 17 - Prob. 56PCh. 17 - Prob. 57PCh. 17 - A typical section of a building wall is shown in...Ch. 17 - Prob. 59PCh. 17 - Prob. 61PCh. 17 - Prob. 62PCh. 17 - Prob. 63PCh. 17 - In an experiment to measure convection heat...Ch. 17 - What is an infinitely long cylinder? When is it...Ch. 17 - Can the thermal resistance concept be used for a...Ch. 17 - Consider a short cylinder whose top and bottom...Ch. 17 - Prob. 68PCh. 17 - 50-m-long section of a steam pipe whose outer...Ch. 17 - Superheated steam at an average temperature 200°C...Ch. 17 - Steam exiting the turbine of a steam power plant...Ch. 17 - Repeat Prob. 17–72E, assuming that a 0.01-in-thick...Ch. 17 - A 2.2-mm-diameter and 10-m-long electric wire is...Ch. 17 - Prob. 76PCh. 17 - Chilled water enters a thin-shelled 5-cm-diameter,...Ch. 17 - Steam at 450°F is flowing through a steel pipe (k...Ch. 17 - Prob. 79PCh. 17 - Prob. 80PCh. 17 - An 8-m-internal-diameter spherical tank made of...Ch. 17 - What is the critical radius of insulation? How is...Ch. 17 - Consider an insulated pipe exposed to the...Ch. 17 - A pipe is insulated to reduce the heat loss from...Ch. 17 - Prob. 86PCh. 17 - Prob. 87PCh. 17 - A 0.083-in-diameter electrical wire at 90°F is...Ch. 17 - Prob. 89PCh. 17 - Prob. 90PCh. 17 - Prob. 92PCh. 17 - What is the reason for the widespread use of fins...Ch. 17 - What is the difference between the fin...Ch. 17 - The fins attached to a surface are determined to...Ch. 17 - Explain how the fins enhance heat transfer from a...Ch. 17 - How does the overall effectiveness of a finned...Ch. 17 - Hot water is to be cooled as it flows through the...Ch. 17 - Consider two finned surfaces that are identical...Ch. 17 - The heat transfer surface area of a fin is equal...Ch. 17 - Prob. 101PCh. 17 - Prob. 102PCh. 17 - Two plate fins of constant rectangular cross...Ch. 17 - Two finned surfaces are identical, except that the...Ch. 17 - A 4-mm-diameter and 10-cm-long aluminum fin (k =...Ch. 17 - Consider a very long rectangular fin attached to a...Ch. 17 - Consider a stainless steel spoon (k = 8.7...Ch. 17 - A DC motor delivers mechanical power to a rotating...Ch. 17 - A plane wall with surface temperature of 350°C is...Ch. 17 - Prob. 111PCh. 17 - Steam in a heating system flows through tubes...Ch. 17 - Prob. 113PCh. 17 - A hot surface at 100°C is to be cooled by...Ch. 17 - Prob. 116PCh. 17 - A 40-W power transistor is to be cooled by...Ch. 17 - Prob. 118PCh. 17 - Prob. 119RQCh. 17 - Cold conditioned air at 12°C is flowing inside a...Ch. 17 - Prob. 121RQCh. 17 - Prob. 122RQCh. 17 - Prob. 123RQCh. 17 - Prob. 124RQCh. 17 - Prob. 125RQCh. 17 - Prob. 126RQCh. 17 - Prob. 127RQCh. 17 - Prob. 128RQCh. 17 - Prob. 129RQCh. 17 - Prob. 130RQCh. 17 - Prob. 131RQ
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