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

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
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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.
3. What is the temperature at the center of the rod at x = 7.5 at t = 5 s?
4. What is the temperature at the center of the rod at x = 1.5 at t = 4 s?
5. What is the temperature at the center of the rod at x = 6 att = 2 s
6. What is the temperature at the center of the rod at x = 4.5 at t = 5 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. 3. What is the temperature at the center of the rod at x = 7.5 at t = 5 s? 4. What is the temperature at the center of the rod at x = 1.5 at t = 4 s? 5. What is the temperature at the center of the rod at x = 6 att = 2 s 6. What is the temperature at the center of the rod at x = 4.5 at t = 5 s? 0²7 01² =k-
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