Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN: 9781305578296
Author: John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher: Cengage Learning
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Chapter 31, Problem 12RQ
True or False: All gas valves snap open and closed.
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The elastic bar from Problem 1 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) = ω 2 x. Under this radial acceleration, the bar stretches along x with displacement function u(x). The displacement u(x) is governed by the following equations: ( d dx (σ(x)) + ρa(x) = 0 PDE σ(x) = E du dx Hooke’s law (2) where σ(x) is the axial stress in the rod, ρ is the mass density, and E is the (constant) Young’s modulus. The bar is pinned on the rotation axis at x = 0 and it is also pinned at x = L.
Determine:1. Appropriate BCs for this physical problem.2. The displacement function u(x).3. The stress function σ(x).
The heated rod from Problem 3 is subject to a volumetric heatingh(x) = h0xLin units of [Wm−3], as shown in the figure below. Under theheat supply the temperature of the rod changes along x with thetemperature function T(x). The temperature T(x) is governed by thefollowing equations:(−ddx (q(x)) + h(x) = 0 PDEq(x) = −kdTdx Fourier’s law of heat conduction(4)where q(x) is the heat flux through the rod and k is the (constant)thermal conductivity. Both ends of the bar are in contact with a heatreservoir at zero temperature.
Determine:1. Appropriate BCs for this physical problem.2. The temperature function T(x).3. The heat flux function q(x).
A heated rod of length L is subject to a volumetric heating h(x) = h0xLinunits of [Wm−3], as shown in the figure below. Under the heat supply thetemperature of the rod changes along x with the temperature functionT(x). The temperature T(x) is governed by the following equations:(−ddx (q(x)) + h(x) = 0 PDEq(x) = −kdTdx Fourier’s law of heat conduction(3)where q(x) is the heat flux through the rod and k is the (constant)thermal conductivity. The left end of the bar is in contact with a heatreservoir at zero temperature, while the right end of the bar is thermallyinsulated.
Determine:1. Appropriate BCs for this physical problem.2. The temperature function T(x).3. The heat flux function q(x).
Chapter 31 Solutions
Refrigeration and Air Conditioning Technology (MindTap Course List)
Ch. 31 - The four types of gas furnace airflow patterns are...Ch. 31 - Describe the function of a multipoise or...Ch. 31 - Describe the function of a draft safeguard switch.Ch. 31 - Where are auxiliary limit switches used in heating...Ch. 31 - The specific gravity of natural gas is A. 0.08. B....Ch. 31 - Prob. 6RQCh. 31 - The pressure at the manifold for natural gas is...Ch. 31 - Prob. 8RQCh. 31 - The typical manifold pressurefor propane gas...Ch. 31 - Why is excess air supplied to all gas-burning...
Ch. 31 - Prob. 11RQCh. 31 - True or False: All gas valves snap open and...Ch. 31 - Which of the following features does an automatic...Ch. 31 - What is the function of the servo pressure...Ch. 31 - What is a redundant gas valve?Ch. 31 - Prob. 16RQCh. 31 - Prob. 17RQCh. 31 - Prob. 18RQCh. 31 - Prob. 19RQCh. 31 - What is an integrated furnace controller (IFC)?Ch. 31 - What is meant by the warm-air blower's off-delay...Ch. 31 - What are dual-in-line-pair (DIP) switches?Ch. 31 - Prob. 23RQCh. 31 - Describe the two types of pilot lights.Ch. 31 - True or False: A thermocouple develops direct...Ch. 31 - Describe how a thermocouple flame-proving system...Ch. 31 - Prob. 27RQCh. 31 - Describe how a liquid-filled flame-proving system...Ch. 31 - Prob. 29RQCh. 31 - Describe a flame rectification flame-proving...Ch. 31 - Prob. 31RQCh. 31 - Describe the difference between a single-rod...Ch. 31 - Prob. 33RQCh. 31 - Prob. 34RQCh. 31 - Prob. 35RQCh. 31 - Prob. 36RQCh. 31 - Define the dew point temperature as it applies to...Ch. 31 - Prob. 38RQCh. 31 - Prob. 39RQCh. 31 - What are four factors that determine the...Ch. 31 - What is a 100% shutoff system?Ch. 31 - What is the difference between a hard and a soft...Ch. 31 - Prob. 43RQCh. 31 - When would a combustion blower ever interpurge a...Ch. 31 - Prob. 45RQCh. 31 - An orifice is a drilled hole in a _______.Ch. 31 - A______ distributes gas to the various burners.Ch. 31 - True or False: An orifice measures the quantity of...Ch. 31 - Prob. 49RQCh. 31 - The ________transfers heat from the hot gas to the...Ch. 31 - Name two types of fan switches.Ch. 31 - Prob. 52RQCh. 31 - Prob. 53RQCh. 31 - Describe how a two-stage furnace operates.Ch. 31 - Describe how a modulating furnace operates.Ch. 31 - What is a variable-output programmable thermostat?Ch. 31 - Why is a metal vent often preferred rather than a...Ch. 31 - Prob. 58RQCh. 31 - Describe why you should never use a flame to leak...Ch. 31 - Prob. 60RQCh. 31 - A _____________sample is taken from the flue gas...
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