Fundamentals of Engineering Thermodynamics
8th Edition
ISBN: 9781118832301
Author: SHAPIRO
Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT
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Question
Chapter 9.14, Problem 61P
(a)
To determine
The specific enthalpy of each stream exiting from the regenerator.
The temperature of each stream exiting from the regenerator.
(b)
To determine
The back work ratio of the cycle.
(c)
To determine
The rate of heat transfer to the working fluid passing through the combustor.
(d)
To determine
The thermal efficiency of the cycle.
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Problem 1 (30 Points)
Consider the following 2 scenarios. In scenario 1, a mass m slides on a cylindrical surface of radius R. In
scenario 2, a mass m hangs at the end of a thin massless rod of length R. In both scenarios, there is no
friction either on the surface (scenario 1), or at the pivot point of the pendulum (scenario 2). Also in
both scenarios, there is one generalized coordinate, .
R
Scenario 1
R
m
R
g
Scenario 2
m
HINT: In both scenarios, it is much easier to choose your datum for potential energy as the center of the
bowl (scenario 1), or the pivot point of the pendulum (scenario 2).
Part I
a) Determine the Lagrangian for each system. DO NOT FIND THE EQUATIONS OF MOTION (5 points)
b) What can you say about the systems based on the Lagrangian? (2 points)
c) Solve for the equations of motion for both systems. (8 points)
Part II
Now, for scenario 1, introduce an additional coordinate and treat it as a nonholonomic system to
determine the normal force acting on the mass.
a)…
Chapter 9 Solutions
Fundamentals of Engineering Thermodynamics
Ch. 9.14 - Prob. 1ECh. 9.14 - Prob. 2ECh. 9.14 - Prob. 3ECh. 9.14 - Prob. 4ECh. 9.14 - Prob. 5ECh. 9.14 - 6. What is the purpose of a rear diffuser on a...Ch. 9.14 - 7. What is the meaning of the octane rating that...Ch. 9.14 - Prob. 8ECh. 9.14 - Prob. 9ECh. 9.14 - 10. What is the purpose of the gas turbine–powered...
Ch. 9.14 - Prob. 11ECh. 9.14 - Prob. 12ECh. 9.14 - Prob. 13ECh. 9.14 - Prob. 14ECh. 9.14 - Prob. 15ECh. 9.14 - Prob. 16ECh. 9.14 - Prob. 17ECh. 9.14 - 1. The thermal efficiency expression given by Eq....Ch. 9.14 - Prob. 2CUCh. 9.14 - Prob. 3CUCh. 9.14 - 4. For a specified compression ratio, and assuming...Ch. 9.14 - Prob. 5CUCh. 9.14 - Prob. 6CUCh. 9.14 - 7. The value of the back work ratio of a Brayton...Ch. 9.14 - Prob. 8CUCh. 9.14 - Prob. 9CUCh. 9.14 - Prob. 10CUCh. 9.14 - Prob. 11CUCh. 9.14 - Prob. 12CUCh. 9.14 - Prob. 13CUCh. 9.14 - 14. Referring to Example 9.4, on the basis of a...Ch. 9.14 - Prob. 15CUCh. 9.14 - Prob. 16CUCh. 9.14 - Prob. 17CUCh. 9.14 - Prob. 18CUCh. 9.14 - 19. Sketch a Carnot gas power cycle on the p–υ and...Ch. 9.14 - Prob. 20CUCh. 9.14 - Prob. 21CUCh. 9.14 - Prob. 22CUCh. 9.14 - Prob. 23CUCh. 9.14 - Prob. 24CUCh. 9.14 - Prob. 25CUCh. 9.14 - Prob. 26CUCh. 9.14 - Prob. 27CUCh. 9.14 - Prob. 28CUCh. 9.14 - Prob. 29CUCh. 9.14 - Prob. 30CUCh. 9.14 - Prob. 31CUCh. 9.14 - Prob. 32CUCh. 9.14 - Prob. 33CUCh. 9.14 - Prob. 34CUCh. 9.14 - Prob. 35CUCh. 9.14 - Prob. 36CUCh. 9.14 - Prob. 37CUCh. 9.14 - Prob. 38CUCh. 9.14 - Prob. 39CUCh. 9.14 - Prob. 40CUCh. 9.14 - Prob. 41CUCh. 9.14 - Prob. 42CUCh. 9.14 - Prob. 43CUCh. 9.14 - Prob. 44CUCh. 9.14 - Prob. 45CUCh. 9.14 - Prob. 46CUCh. 9.14 - Prob. 47CUCh. 9.14 - Prob. 48CUCh. 9.14 - Prob. 49CUCh. 9.14 - Prob. 50CUCh. 9.14 - Prob. 1PCh. 9.14 - Prob. 3PCh. 9.14 - Prob. 5PCh. 9.14 - Prob. 6PCh. 9.14 - Prob. 7PCh. 9.14 - Prob. 8PCh. 9.14 - Prob. 10PCh. 9.14 - Prob. 11PCh. 9.14 - Prob. 12PCh. 9.14 - Prob. 13PCh. 9.14 - Prob. 14PCh. 9.14 - Prob. 15PCh. 9.14 - Prob. 16PCh. 9.14 - Prob. 17PCh. 9.14 - Prob. 18PCh. 9.14 - 9.19 Referring again to Fig. P9.18, let p1 = 1...Ch. 9.14 - Prob. 20PCh. 9.14 - Prob. 21PCh. 9.14 - Prob. 22PCh. 9.14 - Prob. 23PCh. 9.14 - Prob. 24PCh. 9.14 - Prob. 25PCh. 9.14 - Prob. 26PCh. 9.14 - Prob. 27PCh. 9.14 - Prob. 28PCh. 9.14 - Prob. 29PCh. 9.14 - Prob. 30PCh. 9.14 - Prob. 34PCh. 9.14 - Prob. 35PCh. 9.14 - Prob. 36PCh. 9.14 - Prob. 41PCh. 9.14 - 9.42 An ideal air-standard Brayton cycle operating...Ch. 9.14 - Prob. 45PCh. 9.14 - 9.46 Air enters the compressor of an ideal cold...Ch. 9.14 - Prob. 48PCh. 9.14 - Prob. 49PCh. 9.14 - 9.50 Air enters the compressor of an ideal...Ch. 9.14 - 9.53 The cycle of Problem 9.42 is modified to...Ch. 9.14 - 9.54 Air enters the compressor of an air-standard...Ch. 9.14 - 9.55 Air enters the compressor of a simple gas...Ch. 9.14 - Prob. 56PCh. 9.14 - 9.57 Air enters the compressor of a simple gas...Ch. 9.14 - 9.58 Air enters the compressor of a simple gas...Ch. 9.14 - 9.59 An ideal air-standard regenerative Brayton...Ch. 9.14 - Prob. 60PCh. 9.14 - Prob. 61PCh. 9.14 - 9.62 Air enters the compressor of a cold...Ch. 9.14 - Prob. 65PCh. 9.14 - Prob. 66PCh. 9.14 - Prob. 67PCh. 9.14 - 9.68 Fig. P9.68 illustrates a gas turbine power...Ch. 9.14 - Prob. 69PCh. 9.14 - 9.70 Air enters the turbine of a gas turbine at...Ch. 9.14 - Prob. 72PCh. 9.14 - Prob. 73PCh. 9.14 - 9.74 Air enters the compressor of a cold...Ch. 9.14 - 9.75 Air enters a two-stage compressor operating...Ch. 9.14 - 9.76 Air enters a two-stage compressor operating...Ch. 9.14 - 9.78 Air enters a compressor operating at steady...Ch. 9.14 - 9.79 Air enters the first compressor stage of a...Ch. 9.14 - 9.80 An air-standard regenerative Brayton cycle...Ch. 9.14 - 9.81 Air enters the compressor of a cold...Ch. 9.14 - 9.82 An air-standard Brayton cycle produces 10 MW...Ch. 9.14 - Prob. 83PCh. 9.14 - 9.84 Combining the features considered in Problem...Ch. 9.14 - 9.85 Air at 26 kPa, 230 K, and 220 m/s enters a...Ch. 9.14 - 9.87 Air enters the diffuser of a turbojet engine...Ch. 9.14 - Prob. 88PCh. 9.14 - Prob. 89PCh. 9.14 - Prob. 90PCh. 9.14 - Prob. 91PCh. 9.14 - Prob. 92PCh. 9.14 - Prob. 93PCh. 9.14 - Prob. 94PCh. 9.14 - Prob. 95PCh. 9.14 - Prob. 96PCh. 9.14 - Prob. 97PCh. 9.14 - Prob. 98PCh. 9.14 - Prob. 99PCh. 9.14 - Prob. 101PCh. 9.14 - Prob. 102PCh. 9.14 - Prob. 103PCh. 9.14 - Prob. 104PCh. 9.14 - Prob. 105PCh. 9.14 - Prob. 106PCh. 9.14 - Prob. 107PCh. 9.14 - Prob. 108PCh. 9.14 - Prob. 109PCh. 9.14 - Prob. 110PCh. 9.14 - Prob. 111PCh. 9.14 - Prob. 112PCh. 9.14 - Prob. 113PCh. 9.14 - Prob. 114PCh. 9.14 - Prob. 115PCh. 9.14 - Prob. 117PCh. 9.14 - Prob. 118PCh. 9.14 - Prob. 120PCh. 9.14 - Prob. 121PCh. 9.14 - Prob. 122PCh. 9.14 - Prob. 123PCh. 9.14 - Prob. 124PCh. 9.14 - Prob. 125PCh. 9.14 - Prob. 126PCh. 9.14 - Prob. 127PCh. 9.14 - Prob. 129PCh. 9.14 - 9.130 Steam expands isentropically through a...Ch. 9.14 - Prob. 131PCh. 9.14 - Prob. 132PCh. 9.14 - Prob. 133PCh. 9.14 - 9.134 A converging–diverging nozzle operates at...Ch. 9.14 - Prob. 135PCh. 9.14 - Prob. 137PCh. 9.14 - Prob. 138PCh. 9.14 - Prob. 139PCh. 9.14 - 9.140 Air as an ideal gas with k = 1.4 enters a...
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