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categoryهندسة ميكانيكية
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
2.
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An electronic component schematically shown in Figure 2 is made up of
two different components with thermal conductivities K₁ = 50 W/mK and
K, 10 W/mK, densities p₁ = 1000 kg/m³ and p₁ = 2000 kg/m³, and
specific heats c₁ = 500 J/kgK and c₂ = 250 J/kgK. There is a volumetric
heat generation q"=1.0 MW/m³ in the component with thermal
conductivity K₁. The boundaries AH and FG are kept at constant
temperatures of T₁ = 600K and T₁ = 300K (please note these are not
temperatures of nodes 1 and 2) respectively. The boundaries AB, BC, CD,
DE and EF are in contact with air at ambient temperature T = 295K and
the corresponding heat transfer coefficient is h=500 W/m²K. The above
configuration is discretised using the mesh shown in Figure 2 where a
uniform grid with spacing Ax = Ay = 0.01m is used.
For each of the five nodes 2, 7, 9, 12 and 18 evaluate the maximum
allowable time step size you are allowed to use if you were to solve an
unsteady heat conduction problem for this geometry using an explicit time
advancement method.
(5x5=25marks)
h, To
C
16
6
T₁-
A
Ar
5
17
47
18
D
(5x5-25marks
13
14
15
B
10
10
K₁
11
9
7
12
12
00
E
Ay
F
G
T₂
2
H
Symmetry
2
K₂
Figure 2
q"
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