Heating Ventilating and Air Conditioning: Analysis and Design
6th Edition
ISBN: 9780471470151
Author: Faye C. McQuiston, Jeffrey D. Spitler, Jerald D. Parker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 1, Problem 1.11P
Compute the heat transferred from water as it flows through a heat exchanger at a steady rate of 1 m3/s. The decrease in temperature of the water is 5 C, and the mean bulk temperature is 60 C. Use SI units.
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100
As a spring is heated, its spring constant decreases. Suppose the spring is heated and then cooled so that the
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subjected to the harmonic external force f (t) = 100 cos 3t N. Find at least the first four nonzero terms in
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• Analytically (hand calculations)
Creating Simulink Model
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for the first 15 sec. The graph must be fully formatted by code.
Two springs and two masses are attached in a straight vertical line as shown in Figure Q3. The system is set
in motion by holding the mass m₂ at its equilibrium position and pushing the mass m₁ downwards of its
equilibrium position a distance 2 m and then releasing both masses. if m₁ = m² = 1 kg, k₁ = 3 N/m and
k₂ = 2 N/m.
(y₁ = 0)
www
k₁ = 3
Jm₁ = 1
k2=2
www
(Net change in
spring length
=32-31)
(y₂ = 0)
m₂ = 1
32
32
System in
static
equilibrium
System in
motion
Figure Q3 - Coupled mass-spring system
Determine the equations of motion y₁ (t) and y₂(t) for the two masses m₁ and m₂ respectively:
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Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
1 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t≥ 0:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Plot all solutions on the same graph for the first 15 min. The graph must be fully formatted by code.
Chapter 1 Solutions
Heating Ventilating and Air Conditioning: Analysis and Design
Ch. 1 - Convert the following quantities from English to...Ch. 1 - Convert the following quantities from SI to...Ch. 1 - A pump develops a total head of 50 ft of water...Ch. 1 - A fan is observed to operate with a pressure...Ch. 1 - The electric utility rate for a facility during...Ch. 1 - For the business whose monthly electrical energy...Ch. 1 - Detmine the interest rate at which the project in...Ch. 1 - How much could a company afford to spend on an...Ch. 1 - Make the following volume and mass flow rate...Ch. 1 - A room with dimensions of 31020m is estimated to...
Ch. 1 - Compute the heat transferred from water as it...Ch. 1 - Air enters a heat exchanger at a rate of 5000...Ch. 1 - Water flowing at a rate of 1.5 kg/s through a heat...Ch. 1 - Air at a mean temperature of 50 F flows over a...Ch. 1 - Repeat Problem 1-10 for air at 10 C, a tube with...Ch. 1 - Air at 1 atm and 76 F is flowing at the rate of...Ch. 1 - Air flowing at the rate of 1000 cfm and with a...Ch. 1 - A chiller is providing 5 tons of cooling to an air...Ch. 1 - Air is delivered to a room at 58 F and the same...Ch. 1 - A chiller is to pro;ide 12 tons of cooling to a...Ch. 1 - Air is being rnished to a 30-ft by 40-ft by 12-ft...Ch. 1 - If cold outside air at 20 F is leaking into a...Ch. 1 - A Btu-meter is a device that measures water flow...Ch. 1 - A heat pump uses a 100,000-gallon swimming pool as...Ch. 1 - A heat pump uses a 100,000-gallon swimming pooi as...
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