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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Question
Chapter 4.12, Problem 74P
To determine
The mass flow rate of cooling water.
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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 4 Solutions
Fundamentals of Engineering Thermodynamics, Binder Ready Version
Ch. 4.12 - Prob. 1ECh. 4.12 - 2. When a drip coffeemaker on-off switch is turned...Ch. 4.12 - Prob. 3ECh. 4.12 - Prob. 4ECh. 4.12 - Prob. 5ECh. 4.12 - Prob. 6ECh. 4.12 - Prob. 7ECh. 4.12 - Prob. 8ECh. 4.12 - Prob. 9ECh. 4.12 - 10. How does the operator of a pumper-tanker fire...
Ch. 4.12 - Prob. 11ECh. 4.12 - Prob. 12ECh. 4.12 - 13. If the expansion valve of a refrigerator...Ch. 4.12 - Prob. 14ECh. 4.12 - Prob. 15ECh. 4.12 - Prob. 1CUCh. 4.12 - 6. Liquid flows at steady state at a rate of 2...Ch. 4.12 - 7. A flow idealized as a throttling process...Ch. 4.12 - 8. __________ is the work associated with the...Ch. 4.12 - 9. Steady flow devices that result in a drop in...Ch. 4.12 - 10. Steam enters a horizontal pipe operating at...Ch. 4.12 - Prob. 11CUCh. 4.12 - Prob. 12CUCh. 4.12 - Prob. 13CUCh. 4.12 - 14. _______ means all properties are unchanging in...Ch. 4.12 - Prob. 15CUCh. 4.12 - Prob. 16CUCh. 4.12 - 17. ________ operation involves state changes with...Ch. 4.12 - Prob. 18CUCh. 4.12 - 19. A horizontal air diffuser operates with inlet...Ch. 4.12 - 20. Mass flow rate for a flow modeled as...Ch. 4.12 - Prob. 21CUCh. 4.12 - Prob. 22CUCh. 4.12 - Prob. 23CUCh. 4.12 - 24. The mechanisms of energy transfer for a...Ch. 4.12 - 25. For one-dimensional flow, mass flow rate is...Ch. 4.12 - 26. At steady state, conservation of mass asserts...Ch. 4.12 - Prob. 27CUCh. 4.12 - Prob. 28CUCh. 4.12 - Prob. 29CUCh. 4.12 - Prob. 30CUCh. 4.12 - Prob. 31CUCh. 4.12 - Prob. 32CUCh. 4.12 - 33. A significant increase in pressure can be...Ch. 4.12 - Prob. 34CUCh. 4.12 - Prob. 35CUCh. 4.12 - Prob. 36CUCh. 4.12 - 37. Factors that may allow one to model a control...Ch. 4.12 - Prob. 38CUCh. 4.12 - Prob. 39CUCh. 4.12 - Prob. 40CUCh. 4.12 - Prob. 41CUCh. 4.12 - Prob. 42CUCh. 4.12 - Prob. 43CUCh. 4.12 - 44. The human body is an example of an integrated...Ch. 4.12 - Prob. 45CUCh. 4.12 - Prob. 46CUCh. 4.12 - 47. The thermodynamic performance of a device such...Ch. 4.12 - 48. For every control volume at steady state, the...Ch. 4.12 - Prob. 49CUCh. 4.12 - Prob. 50CUCh. 4.12 - Prob. 51CUCh. 4.12 - 52. At steady state, identical electric fans...Ch. 4.12 - Prob. 1PCh. 4.12 - Prob. 2PCh. 4.12 - 4.3 Steam enters a 1.6-cm-diameter pipe at 80 bar...Ch. 4.12 - Prob. 4PCh. 4.12 - Prob. 5PCh. 4.12 - Prob. 6PCh. 4.12 - 4.7 Figure P4.7 provides data for water entering...Ch. 4.12 - Prob. 8PCh. 4.12 - Prob. 9PCh. 4.12 - 4.10 Data are provided for the crude oil storage...Ch. 4.12 - 4.11 An 8-ft3 tank contains air at an initial...Ch. 4.12 - Prob. 12PCh. 4.12 - Prob. 13PCh. 4.12 - Prob. 14PCh. 4.12 - 4.15 Liquid water flows isothermally at 20°C...Ch. 4.12 - Prob. 16PCh. 4.12 - Prob. 17PCh. 4.12 - Prob. 18PCh. 4.12 - 4.19 As shown in Fig. P4.19, steam at 80 bar,...Ch. 4.12 - Prob. 20PCh. 4.12 - Prob. 21PCh. 4.12 - Prob. 22PCh. 4.12 - Prob. 23PCh. 4.12 - 4.24 Refrigerant 134a enters a horizontal pipe...Ch. 4.12 - 4.25 As shown in Fig. P4.25, air enters a pipe at...Ch. 4.12 - 4.26 Air enters a horizontal, constant-diameter...Ch. 4.12 - 4.27 Air at 600 kPa, 330 K enters a...Ch. 4.12 - 4.28 At steady state, air at 200 kPa, 325 K, and...Ch. 4.12 - 4.29 Refrigerant 134a flows at steady state...Ch. 4.12 - 4.30 As shown in Fig. P4.30, electronic components...Ch. 4.12 - 4.31 Steam enters a nozzle operating at steady...Ch. 4.12 - 4.32 Refrigerant 134a enters a well-insulated...Ch. 4.12 - 4.33 Air enters a nozzle operating at steady state...Ch. 4.12 - Prob. 34PCh. 4.12 - Prob. 35PCh. 4.12 - 4.36 Nitrogen, modeled as an ideal gas, flows at a...Ch. 4.12 - Prob. 37PCh. 4.12 - Prob. 38PCh. 4.12 - Prob. 39PCh. 4.12 - 4.40 Oxygen gas enters a well-insulated diffuser...Ch. 4.12 - Prob. 41PCh. 4.12 - 4.42 Steam enters a well-insulated turbine...Ch. 4.12 - Prob. 43PCh. 4.12 - 4.44 Air expands through a turbine operating at...Ch. 4.12 - Prob. 45PCh. 4.12 - 4.46 A well-insulated turbine operating at steady...Ch. 4.12 - Prob. 47PCh. 4.12 - Prob. 48PCh. 4.12 - Prob. 49PCh. 4.12 - Prob. 50PCh. 4.12 - Prob. 51PCh. 4.12 - Prob. 52PCh. 4.12 - Prob. 53PCh. 4.12 - 4.54 Nitrogen is compressed in an axial-flow...Ch. 4.12 - Prob. 55PCh. 4.12 - Prob. 56PCh. 4.12 - Prob. 57PCh. 4.12 - Prob. 58PCh. 4.12 - Prob. 59PCh. 4.12 - 4.60 Refrigerant 134a enters an insulated...Ch. 4.12 - Prob. 61PCh. 4.12 - Prob. 62PCh. 4.12 - 4.63 Air enters a compressor operating at steady...Ch. 4.12 - 4.64 Air enters a compressor operating at steady...Ch. 4.12 - Prob. 65PCh. 4.12 - Prob. 66PCh. 4.12 - Prob. 67PCh. 4.12 - 4.68 As shown in Fig. P4.68, a power washer used...Ch. 4.12 - Prob. 69PCh. 4.12 - Prob. 70PCh. 4.12 - Prob. 71PCh. 4.12 - 4.72 Oil enters a counterflow heat exchanger at...Ch. 4.12 - Prob. 73PCh. 4.12 - Prob. 74PCh. 4.12 - Prob. 75PCh. 4.12 - Prob. 76PCh. 4.12 - Prob. 77PCh. 4.12 - Prob. 78PCh. 4.12 - Prob. 79PCh. 4.12 - Prob. 80PCh. 4.12 - Prob. 83PCh. 4.12 - Prob. 84PCh. 4.12 - Prob. 85PCh. 4.12 - Prob. 86PCh. 4.12 - Prob. 87PCh. 4.12 - Prob. 88PCh. 4.12 - Prob. 89PCh. 4.12 - Prob. 90PCh. 4.12 - Prob. 91PCh. 4.12 - Prob. 92PCh. 4.12 - Prob. 93PCh. 4.12 - Prob. 94PCh. 4.12 - Prob. 95PCh. 4.12 - Prob. 96PCh. 4.12 - 4.97 As shown in Fig. P4.97, Refrigerant 22 enters...Ch. 4.12 - Prob. 98PCh. 4.12 - Prob. 99PCh. 4.12 - Prob. 100PCh. 4.12 - Prob. 101PCh. 4.12 - 4.102 Steady-state operating data for a simple...Ch. 4.12 - Prob. 103PCh. 4.12 - Prob. 104PCh. 4.12 - Prob. 105PCh. 4.12 - Prob. 106PCh. 4.12 - Prob. 107PCh. 4.12 - Prob. 108PCh. 4.12 - Prob. 109PCh. 4.12 - Prob. 110PCh. 4.12 - Prob. 111PCh. 4.12 - Prob. 112PCh. 4.12 - 4.113 An insulated, rigid tank whose volume is 10...Ch. 4.12 - Prob. 114PCh. 4.12 - Prob. 115PCh. 4.12 - Prob. 116PCh. 4.12 - Prob. 117PCh. 4.12 - Prob. 119PCh. 4.12 - Prob. 122PCh. 4.12 - Prob. 127PCh. 4.12 - Prob. 128PCh. 4.12 - 4.130 The procedure to inflate a hot-air balloon...
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