Fundamentals Of Thermal-fluid Sciences In Si Units
5th Edition
ISBN: 9789814720953
Author: Yunus Cengel, Robert Turner, John Cimbala
Publisher: McGraw-Hill Education
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Chapter 5, Problem 34P
(a)
To determine
The final temperature
(b)
To determine
The work done
(c)
To determine
The amount of heat transfer
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(I) [40 Points] Using centered finite difference approximations as done in class, solve the equation for O:
d20
dx²
+ 0.010+ Q=0
subject to the boundary conditions shown in the stencil below. Do this for two values of Q: (a) Q = 0.3,
and (b) Q= √(0.5 + 2x)e-sinx (cos(5x)+x-0.5√1.006-x| + e −43*|1+.001+x* | * sin (1.5 − x) +
(cosx+0.001 + ex-1250+ sin (1-0.9x)|) * x - 4.68x4. For Case (a) (that is, Q = 0.3), use the stencil in Fig.
1. For Case (b), calculate with both the stencils in Fig. 1 and Fig 2. For all the three cases, show a table as
well as a plot of O versus x. Discuss your results. Use MATLAB and hand in the MATLAB codes.
1
0=0
x=0
2
3
4
0=1
x=1
Fig 1
1 2 3 4 5 6 7 8 9 10
11
0=0
x=0
0=1
x=1
Fig 2
Chapter 5 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
Ch. 5 - Prob. 1PCh. 5 - Nitrogen at an initial state of 300 K, 150 kPa,...Ch. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - A piston–cylinder device with a set of stops...Ch. 5 - A piston–cylinder device initially contains 0.07...Ch. 5 - A mass of 5 kg of saturated water vapor at 300 kPa...Ch. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - A mass of 1.5 kg of air at 120 kPa and 24°C is...
Ch. 5 - Prob. 11PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - During an expansion process, the pressure of a gas...Ch. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - 0.75-kg water that is initially at 0.5 MPa and 30...Ch. 5 - Prob. 22PCh. 5 - A piston–cylinder device contains 50 kg of water...Ch. 5 - Reconsider Prob. 5–23. Using an appropriate...Ch. 5 - Prob. 25PCh. 5 - A closed system undergoes a process in which there...Ch. 5 - Prob. 27PCh. 5 - Prob. 28PCh. 5 - Prob. 29PCh. 5 - Prob. 30PCh. 5 - A fixed mass of saturated water vapor at 400 kPa...Ch. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 36PCh. 5 - A 40-L electrical radiator containing heating oil...Ch. 5 - Prob. 38PCh. 5 - Saturated R-134a vapor at 100°F is condensed at...Ch. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Is it possible to compress an ideal gas...Ch. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - A rigid tank contains 10 lbm of air at 30 psia and...Ch. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Air is contained in a variable-load...Ch. 5 - A mass of 15 kg of air in a piston–cylinder device...Ch. 5 - Prob. 70PCh. 5 - Prob. 72PCh. 5 - Prob. 73PCh. 5 - Air is contained in a cylinder device fitted with...Ch. 5 - Air is contained in a piston–cylinder device at...Ch. 5 - Prob. 76PCh. 5 - Prob. 77PCh. 5 - Prob. 78PCh. 5 - Prob. 79PCh. 5 - Prob. 80PCh. 5 - Prob. 81PCh. 5 - Prob. 82PCh. 5 - Prob. 83PCh. 5 - Prob. 85PCh. 5 - Prob. 86PCh. 5 - Repeat Prob. 5–86 for aluminum balls.
5-86. In a...Ch. 5 - Prob. 88RQCh. 5 - Prob. 89RQCh. 5 - Air in the amount of 2 lbm is contained in a...Ch. 5 - Air is expanded in a polytropic process with n =...Ch. 5 - Nitrogen at 100 kPa and 25°C in a rigid vessel is...Ch. 5 - A well-insulated rigid vessel contains 3 kg of...Ch. 5 - In order to cool 1 ton of water at 20°C in an...Ch. 5 - Prob. 95RQCh. 5 - Prob. 96RQCh. 5 - Saturated water vapor at 200°C is condensed to a...Ch. 5 - A piston–cylinder device contains 0.8 kg of an...Ch. 5 - A piston–cylinder device contains helium gas...Ch. 5 - Prob. 100RQCh. 5 - Prob. 101RQCh. 5 - Prob. 102RQCh. 5 - Prob. 103RQCh. 5 - Prob. 104RQCh. 5 - Prob. 105RQCh. 5 - Prob. 106RQCh. 5 - A 68-kg man whose average body temperature is 39°C...Ch. 5 - An insulated rigid tank initially contains 1.4-kg...Ch. 5 - Prob. 109RQCh. 5 - Prob. 111RQCh. 5 - Prob. 112RQCh. 5 - Prob. 114RQCh. 5 - Prob. 115RQCh. 5 - An insulated piston–cylinder device initially...Ch. 5 - Prob. 118RQCh. 5 - Prob. 119RQCh. 5 - Prob. 120RQ
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