EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Textbook Question
Chapter 29, Problem 16P
Use the control-volume approach and derive the node equation for node
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Students have asked these similar questions
a. A slab of thermal insulator is 100 cm² in cross section and 2 cm thick. Its
thermal conductivity is 2.4 x 10 -+ cal/(s cm C"). If the temperature difference
between opposite faces is 180 F', how much heat flows through the slab in one
day?
Qi:
(50 marks)
Find the total heat flux of the composite wall
when:
B
KA = KC = KF = 15
m. K
KB = KD = 10
m. K
KE = KG = 20
%3D
m. K
D.
Height of B = C = D
4 cm
3 cm 4 cm
6 cm
Height of F = G
AT = 30 K
Find the two-dimensional temperature distribution T(x,y) and midplane temperature T(B/2,W/2)
under steady state condition. The density, conductivity and specific heat of the material are p= 62400
kg/m', k-400 W/m.K, and cp=2500 J/kg.K, respectively. A uniform heat flux q%=1000 W/m² is applied to
2.
the upper surface. The right and left surfaces are also kept at 0°C. Bottom surface is insulated.
9% (W/m³)
y4
T = 0 °C
T = 0°C
W= 520 cm
B=1560 cm
Chapter 29 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 29 - 29.1 Use Liebmann’s method to solve for the...Ch. 29 - 29.2 Use Liebmann’s method to solve for the...Ch. 29 - 29.3 Compute the fluxes for Prob. 29.2 using the...Ch. 29 - Repeat Example 29.1, but use 49 interior nodes...Ch. 29 - Repeat Prob. 29.4, but for the case where the...Ch. 29 - 29.6 Repeat Examples 29.1 and 29.3, but for the...Ch. 29 - Prob. 7PCh. 29 - 29.8 With the exception of the boundary...Ch. 29 - Write equations for the darkened nodes in the grid...Ch. 29 - 29.10 Write equations for the darkened nodes in...
Ch. 29 - Apply the control-volume approach to develop the...Ch. 29 - Derive an equation like Eq. (29.26) for the case...Ch. 29 - 29.13 Develop a user-friendly computer program to...Ch. 29 - Employ the program from Prob. 29.13 to solve...Ch. 29 - Employ the program from Prob. 29.13 to solve Prob....Ch. 29 - Use the control-volume approach and derive the...Ch. 29 - 29.17 Calculate heat flux for node in Fig. 29.13...Ch. 29 - 29.18 Compute the temperature distribution for...Ch. 29 - 29.19 The Poisson equation can be written in...
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