Fundamentals of Engineering Thermodynamics, Binder Ready Version
8th Edition
ISBN: 9781118820445
Author: Michael J. Moran, Howard N. Shapiro, Daisie D. Boettner, Margaret B. Bailey
Publisher: WILEY
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Chapter 8.6, Problem 35P
To determine
The power developed by the cycle.
The thermal efficiency.
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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
spring constant at time t is k(t) = t sin + N/m. If the mass-spring system has mass m = 2 kg and a
damping constant b = 1 N-sec/m with initial conditions x(0) = 6 m and x'(0) = -5 m/sec and it is
subjected to the harmonic external force f (t) = 100 cos 3t N. Find at least the first four nonzero terms in
a power series expansion about t = 0, i.e. Maclaurin series expansion, for the displacement:
• Analytically (hand calculations)
Creating Simulink Model
Plot solutions for first two, three and four non-zero terms as well as the Simulink solution on the same graph
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:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Produce an animation of the system for all solutions for the first minute.
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 8 Solutions
Fundamentals of Engineering Thermodynamics, Binder Ready Version
Ch. 8.6 - Prob. 1ECh. 8.6 - Prob. 2ECh. 8.6 - Prob. 3ECh. 8.6 - Prob. 4ECh. 8.6 - Prob. 5ECh. 8.6 - Prob. 6ECh. 8.6 - Prob. 7ECh. 8.6 - 8. What is the relationship between global climate...Ch. 8.6 - Prob. 9ECh. 8.6 - Prob. 10E
Ch. 8.6 - Prob. 11ECh. 8.6 - Prob. 12ECh. 8.6 - Prob. 13ECh. 8.6 - Prob. 1CUCh. 8.6 - Prob. 2CUCh. 8.6 - 3. The component of the Rankine cycle in which the...Ch. 8.6 - 4. A cycle that couples two vapor cycles so the...Ch. 8.6 - 5. The ratio of the pump work input to the work...Ch. 8.6 - 6. A shell-and-tube-type recuperator in which the...Ch. 8.6 - Prob. 7CUCh. 8.6 - Prob. 8CUCh. 8.6 - Prob. 9CUCh. 8.6 - Prob. 10CUCh. 8.6 - 11. An example of an external irreversibility...Ch. 8.6 - Prob. 12CUCh. 8.6 - Prob. 13CUCh. 8.6 - Prob. 14CUCh. 8.6 - 15. A direct-contact–type heat exchanger found in...Ch. 8.6 - 16. The component of a regenerative vapor power...Ch. 8.6 - Prob. 17CUCh. 8.6 - 18. A Rankine cycle that employs an organic...Ch. 8.6 - Prob. 19CUCh. 8.6 - Prob. 20CUCh. 8.6 - Prob. 21CUCh. 8.6 - Prob. 22CUCh. 8.6 - Prob. 23CUCh. 8.6 - 24. The purpose of deaeration is ______________.
Ch. 8.6 - Prob. 25CUCh. 8.6 - Prob. 26CUCh. 8.6 - Prob. 27CUCh. 8.6 - Prob. 28CUCh. 8.6 - 29. The total cost associated with a power plant...Ch. 8.6 - Prob. 30CUCh. 8.6 - Prob. 31CUCh. 8.6 - Prob. 32CUCh. 8.6 - Prob. 33CUCh. 8.6 - Prob. 34CUCh. 8.6 - Prob. 35CUCh. 8.6 - Prob. 36CUCh. 8.6 - Prob. 37CUCh. 8.6 - Prob. 38CUCh. 8.6 - Prob. 39CUCh. 8.6 - 40. For a vapor power cycle with and , the...Ch. 8.6 - Prob. 41CUCh. 8.6 - Prob. 42CUCh. 8.6 - Prob. 43CUCh. 8.6 - Prob. 44CUCh. 8.6 - Prob. 45CUCh. 8.6 - Prob. 46CUCh. 8.6 - Prob. 47CUCh. 8.6 - Prob. 48CUCh. 8.6 - Prob. 49CUCh. 8.6 - 50. In a binary cycle, energy discharged by heat...Ch. 8.6 - Prob. 1PCh. 8.6 - Prob. 2PCh. 8.6 - Prob. 3PCh. 8.6 - Prob. 6PCh. 8.6 - 8.7 Water is the working fluid in an ideal Rankine...Ch. 8.6 - Prob. 8PCh. 8.6 - 8.10 Water is the working fluid in an ideal...Ch. 8.6 - Prob. 12PCh. 8.6 - Prob. 13PCh. 8.6 - 8.14 On the south coast of the island of Hawaii,...Ch. 8.6 - Prob. 15PCh. 8.6 - 8.17. Water is the working fluid in a Rankine...Ch. 8.6 - 8.19 Water is the working fluid in a Rankine...Ch. 8.6 - Prob. 20PCh. 8.6 - Prob. 21PCh. 8.6 - 8.22 Superheated steam at 8 MPa and 480°C leaves...Ch. 8.6 - Prob. 23PCh. 8.6 - Prob. 25PCh. 8.6 - Prob. 26PCh. 8.6 - 8.27 Steam is the working fluid in the ideal...Ch. 8.6 - Prob. 28PCh. 8.6 - Prob. 29PCh. 8.6 - Prob. 30PCh. 8.6 - Prob. 31PCh. 8.6 - 8.32 An ideal Rankine cycle with reheat uses water...Ch. 8.6 - Prob. 33PCh. 8.6 - 8.34 Steam at 4800 lbf/in.2, 1000℉ enters the...Ch. 8.6 - Prob. 35PCh. 8.6 - Prob. 37PCh. 8.6 - 8.38 For the cycle of Problem 8.37, reconsider the...Ch. 8.6 - Prob. 39PCh. 8.6 - Prob. 40PCh. 8.6 - Prob. 41PCh. 8.6 - Prob. 42PCh. 8.6 - Prob. 43PCh. 8.6 - Prob. 44PCh. 8.6 - Prob. 45PCh. 8.6 - Prob. 46PCh. 8.6 - Prob. 47PCh. 8.6 - 8.48 For the cycle of Problem 8.47, investigate...Ch. 8.6 - Prob. 49PCh. 8.6 - Prob. 50PCh. 8.6 - Prob. 51PCh. 8.6 - 8.52 As indicated in Fig. P8.52, a power plant...Ch. 8.6 - Prob. 53PCh. 8.6 - Prob. 54PCh. 8.6 - Prob. 55PCh. 8.6 - Prob. 56PCh. 8.6 - Prob. 57PCh. 8.6 - Prob. 58PCh. 8.6 - Prob. 59PCh. 8.6 - Prob. 60PCh. 8.6 - Prob. 61PCh. 8.6 - Prob. 63PCh. 8.6 - Prob. 64PCh. 8.6 - Prob. 65PCh. 8.6 - Prob. 66PCh. 8.6 - 8.67 Water is the working fluid in a Rankine cycle...Ch. 8.6 - Prob. 68PCh. 8.6 - Prob. 69PCh. 8.6 - Prob. 70PCh. 8.6 - 8.72 Water is the working fluid in a...Ch. 8.6 - Prob. 73PCh. 8.6 - Prob. 74PCh. 8.6 - Prob. 75PCh. 8.6 - 8.76 A binary vapor power cycle consists of two...Ch. 8.6 - A binary vapor cycle consists of two Rankine...Ch. 8.6 - Prob. 78PCh. 8.6 - Prob. 79PCh. 8.6 - Prob. 80PCh. 8.6 - 8.81 Figure P8.81 shows a combined heat and power...Ch. 8.6 - 8.82 Figure P8.82 shows a cogeneration cycle that...Ch. 8.6 - Prob. 83PCh. 8.6 - 8.84 The steam generator of a vapor power plant...Ch. 8.6 - 8.85 Determine the exergy input, in kJ per kg of...Ch. 8.6 - 8.86 In the steam generator of the cycle of...Ch. 8.6 - Prob. 87PCh. 8.6 - 8.88 Determine the rate of exergy input, in Btu/h,...Ch. 8.6 - Prob. 89PCh. 8.6 - Prob. 90PCh. 8.6 - Prob. 91PCh. 8.6 - 8.92 Figure P8.92 provides steady-state operating...Ch. 8.6 - 8.93 Steam enters the turbine of a simple vapor...
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