EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 29, Problem 5P
Repeat Prob. 29.4, but for the case where the lower edge is insulated.
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10B.4. Heat conduction in an annulus (Fig. 10B.4).
(a) Heat is flowing through an annular wall of inside radius and outside radius ₁. The
thermal conductivity varies linearly with temperature from ko at To to k₁ at T₁. Develop an ex-
pression for the heat flow through the wall.
(b) Show how the expression in (a) can be simplified when (r₁-ro)/ro is very small. Interpret
the result physically.
Answer: (a) Q = 2πL(T₁-
To
T₁
T₁)
›(ko + k) (in 7.) *';
2
"'; (b) Q = 2mr_L (ko + ki ) ( 7
2
Problems 323
Fig. 10B.4. Temperature profile in an annular wall.
answer is given, use double integration method and neatly please
Please solve this numerical problem.
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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