Q4/Thin rod positioned between two walls that are held at constant temperatures. Heat flows through the rod as well as between the rod and the surrounding air as shown in Fig. 1. Where T= temperature (C), x distance along the rod (m), ha heat transfer coefficient between the rod and the ambient air (m), and T, the temperature of the surrounding air (C). The governing equation take the following: -T-1 + (2 + h Ax²) T₁-T₁+1 = h Ax²Ta write the equation for each interior nodes (i = 1, 2, and 3). Determine the Temperatures (T₁, T2, and T3) by using the Gauss Elimination method. L il

Q4/Thin rod positioned between two walls that are held at constant temperatures. Heat flows through the rod as well as between the rod and the surrounding air as shown in Fig. 1. Where T= temperature (C), x distance along the rod (m), ha heat transfer coefficient between the rod and the ambient air (m), and T, the temperature of the surrounding air (C). The governing equation take the following: -T-1 + (2 + h Ax²) T₁-T₁+1 = h Ax²Ta write the equation for each interior nodes (i = 1, 2, and 3). Determine the Temperatures (T₁, T2, and T3) by using the Gauss Elimination method. L il

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

Q4/ Thin rod positioned between two walls that are held at constant temperatures. Heat flows
through the rod as well as between the rod and the surrounding air as shown in Fig. 1.
Where T = temperature (C), x distance along the rod (m), ha heat transfer coefficient
between the rod and the ambient air (m), and T, the temperature of the surrounding air
(C). The governing equation take the following:
-T-1 +(2+ h Ax²) T₁-T₁+1 = h Ax² Ta
write the equation for each interior nodes (i = 1, 2, and 3).
Determine the Temperatures (T₁, T2, and T3) by using the Gauss Elimination method.
L
il
T₂ = 40
x=0
T₂ = 20
T₁
Ax
T. = 20
T₂
h = 0.02
T₂
h = 0.02
Fig. 1
wwwwwgam
T₁ = 200
x = 10

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