Qs: The ends for an insulated rod PQ are maintained at 0°C. At time t=0 the temperature within the rod rises uniformly from each end and reaching 4°C at the mid-point of the rod PQ as shown in figure below. Find an expression for the temperature u(x,t) at any point in the rod, where x is the distance from P at any time t after t-0. Assume the heat conduction equation as a form: u(x,0) au a²u 16 4°C at 8x² 20 40 x (cm) - 0 P Q
Qs: The ends for an insulated rod PQ are maintained at 0°C. At time t=0 the temperature within the rod rises uniformly from each end and reaching 4°C at the mid-point of the rod PQ as shown in figure below. Find an expression for the temperature u(x,t) at any point in the rod, where x is the distance from P at any time t after t-0. Assume the heat conduction equation as a form: u(x,0) au a²u 16 4°C at 8x² 20 40 x (cm) - 0 P Q
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Qs: The ends for an insulated rod PQ are maintained at 0°C. At time t=0 the temperature
within the rod rises uniformly from each end and reaching 4°C at the mid-point of the rod
PQ as shown in figure below. Find an expression for the temperature u(x,t) at any point in
the rod, where x is the distance from P at any time t after t-0. Assume the heat conduction
equation as a form:
u(x,0)
du
a²u
16
4°C
at
8x²
20
40
x (cm)
-
0
P
Q
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