EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 11, Problem 9P
Recall from Prob. 10.8, that the following system of equations is designed to determine concentrations
Solve this problem with the Gauss-Seidel method to
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Q3: Consider evaluation of different temperatures of solar photovoltaic/thermal system
(PVT) as shown in Figure 1(a). The following set of differential equations represent
energy balance equations to be solve using matrices and eigenvalues using MATLAB:
dTglass
= -0.75Tgtass + 0.75TpvT
(1)
dt
- 1.187glass – 22Tpyr + 23Twax
(2)
dt
dTwax
12Tglass + 18TpyT – 19 Twax
(3)
dt
Where, Tgtass , TPVT, and Twax, are temperatures illustrated in Figure 1(b). At time t-0 the initial
conditions are Tglass = 35 , Tpyr = 33, and Twax = 31 °C.
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Assignment 6
I/II law, Entropy, Cycles
Handwritten assignment. Detailed answers are expected. Use your university ID.
What is a pure substance? Write any four examples of pure substance. Draw tv and Pv diagram of
water showing critical pressure and temperature magnitudes.
Define specific heats. Differentiate between specific heats at constant pressure and constant volume.
Give their examples. Write the values of cp, cv, R, and y for air and combustion products.
1.
2.
3.
A 0.2 m³ vessel contains 120+last two digits kg of water at 90 ° C. Determine pressure, specific and
total internal energy, specific and total enthalpy, and specific and total entropy.
A vessel contains 10 kg of water at 200 kPa. Determine pressure, specific and total internal energy,
specific and total enthalpy, and specific and total entropy. Consider 5 different cases/states:
T= 30 ° C
4.
а.
b. T= Tsat…
Q\. The first law of thermodynamics involves three main components, if we
know the behavior of two components, estimate the behavior of the third
component. ( Conclusion ) :
a. If heat is added to the system, then the internal energy of the system
increases.
..... ..
b. If heat leaves the system, then the internal energy of the system
decreases ....
c. If the work is done by the system, then the internal energy of the system
decreases ...
.......
d. If the work is done on the system, then the internal energy of the system
increases..
.......
Chapter 11 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 11 - 11.1 Perform the same calculations as in (a)...Ch. 11 - Determine the matrix inverse for Example 11.1...Ch. 11 - 11.3 The following tridiagonal system must be...Ch. 11 - 11.4 Confirm the validity of the Cholesky...Ch. 11 - Perform the same calculations as in Example 11.2,...Ch. 11 - Perform a Cholesky decomposition of the following...Ch. 11 - Compute the Cholesky decomposition of...Ch. 11 - Use the Gauss-Seidel method to solve the...Ch. 11 - Recall from Prob. 10.8, that the following system...Ch. 11 - 11.10 Repeat Prob. 11.9, but use Jacobi...
Ch. 11 - 11.11 Use the Gauss-Seidel method to solve the...Ch. 11 - Use the Gauss-Seidel method (a) without relaxation...Ch. 11 - 11.13 Use the Gauss-Seidel method (a) without...Ch. 11 - Redraw Fig. 11.5 for the case where the slopes of...Ch. 11 - 11.15 Of the following three sets of linear...Ch. 11 - Use the software package of your choice to obtain...Ch. 11 - Given the pair of nonlinear simultaneous...Ch. 11 - An electronics company produces transistors,...Ch. 11 - Use MATLAB or Mathcad software to determine the...Ch. 11 - Repeat Prob. 11.19. but for the case of a...Ch. 11 - 11.21 Given a square matrix , write a single line...Ch. 11 - Write the following set of equations in matrix...Ch. 11 - In Sec. 9.2.1, we determined the number of...Ch. 11 - 11.24 Develop a user-friendly program in either a...Ch. 11 - 11.25 Develop a user-friendly program in either a...Ch. 11 - Develop a user-friendly program in either a...Ch. 11 - As described in Sec. PT3.1.2, linear algebraic...Ch. 11 - A pentadiagonal system with a bandwidth of five...
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