Find the steady-state temperature u(r, z) in the cylinder in Figure 13.2.5 if the lateral side is kept at temperature 50 and the top z = 4 and base z = 0 are insulated. (reference figure 13.2.5) ZA u=uo at z = 4 u=0 at r = 2 Xu=0 at z=0 FIGURE 13.2.5 Circular cylinder in Example 2

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the steady-state temperature u(r, z) in the cylinder in Figure 13.2.5 if the lateral side is
kept at temperature 50 and the top z = 4 and base z = 0 are insulated.
(reference figure 13.2.5)
ZA
u=uo atz= 4
u=0
at r = 2
Xu=0 at z=0
FIGURE 13.2.5 Circular cylinder
in Example 2
Transcribed Image Text:Find the steady-state temperature u(r, z) in the cylinder in Figure 13.2.5 if the lateral side is kept at temperature 50 and the top z = 4 and base z = 0 are insulated. (reference figure 13.2.5) ZA u=uo atz= 4 u=0 at r = 2 Xu=0 at z=0 FIGURE 13.2.5 Circular cylinder in Example 2
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