Consider 9-cm long rod heated at both ends which follows a 1-D heat equation, With k = 0.82 cal/s-cm-°C, Ax = 1.5, and At = 0.5 s; Initial condition: T (x, 0) = 0 at 0 < x < 9 And boundary conditions: T (0, t) = 60°C, and T (9, t) = 100°C. 1. What is the temperature at the center of the rod (x = 4.5) at t = 3 s? 2. What is the temperature at the center of the rod at x = 3 at t = 1 s? OT 0²T =k- dt 01²

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Chapter7: Forced Convection Inside Tubes And Ducts
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Consider 9-cm long rod heated at both ends which follows a 1-D heat equation,
OT
dt
With k = 0.82 cal/s-cm-°C, Ax = 1.5, and At = 0.5 s;
Initial condition: T (x, 0) = 0 at 0<x< 9
And boundary conditions: T (0, t) = 60°C, and T (9, t) = 100°C.
1. What is the temperature at the center of the rod (x = 4.5) at t = 3 s?
2. What is the temperature at the center of the rod at x = 3 at t = 1 s?
0²7
01²
=k-
Transcribed Image Text:Consider 9-cm long rod heated at both ends which follows a 1-D heat equation, OT dt With k = 0.82 cal/s-cm-°C, Ax = 1.5, and At = 0.5 s; Initial condition: T (x, 0) = 0 at 0<x< 9 And boundary conditions: T (0, t) = 60°C, and T (9, t) = 100°C. 1. What is the temperature at the center of the rod (x = 4.5) at t = 3 s? 2. What is the temperature at the center of the rod at x = 3 at t = 1 s? 0²7 01² =k-
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