A finite element mesh consisting of a rectangular and a triangular element is shown in Figure 8.21. The dimensions of the plate are in meters. A constant temperature T = 10°C is prescribed along the boundary y = 0. A constant and linear boundary flux as shown in Figure 8.21 is applied along the edges y = x + 2 and x = 0, respectively. The edge x = 2 is insulated. A point source P = 10 W is applied at (0, 2) m. The material is isotropic with k = 1 W °C-1 for element 1 and k = 2 W°C-¹ for element 2. Compute the nodal temperatures and fluxes at the two elements center points.
A finite element mesh consisting of a rectangular and a triangular element is shown in Figure 8.21. The dimensions of the plate are in meters. A constant temperature T = 10°C is prescribed along the boundary y = 0. A constant and linear boundary flux as shown in Figure 8.21 is applied along the edges y = x + 2 and x = 0, respectively. The edge x = 2 is insulated. A point source P = 10 W is applied at (0, 2) m. The material is isotropic with k = 1 W °C-1 for element 1 and k = 2 W°C-¹ for element 2. Compute the nodal temperatures and fluxes at the two elements center points.
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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Transcribed Image Text:y
P = 100
q= 15y
q=30
5
1
T = 10
e=1
e=2
2
4
q=0
3
2
T = 10
2
2
X
Figure 8.21 Trapezoidal domain of Problem 8.3.
Problem 8.3
A finite element mesh consisting of a rectangular and a triangular element is shown in Figure 8.21. The
dimensions of the plate are in meters. A constant temperature T = 10 °C is prescribed along the boundary
y = 0. A constant and linear boundary flux as shown in Figure 8.21 is applied along the edges y
= x + 2 and
x = 0, respectively. The edge x = 2 is insulated. A point source P = 10 W is applied at (0, 2) m. The
material is isotropic with k = 1 W °C-¹ for element 1 and k = 2 W °C-¹ for element 2. Compute the nodal
temperatures and fluxes at the two elements center points.
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