-in terms of temperature T(x,t), Fourier number Fo= at/L², and x/L, T-T To-Ts = Σ n=0 2(-1)" (n+1/2)π e-(n+1/2)²²Fo COS n+ cos (n + 1) = 2 Π L (3.44) T-Te To-Te = Σe-Fo n=1 2 sin λn λn + sin λncos λn 'n Χ cos λn 'n L

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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Derive Equation 3.44 to other photo equation. Explain the key assumptions and introduce each steps. importance in determining the lamda values.

-in terms of temperature T(x,t), Fourier number Fo= at/L², and x/L,
T-T
To-Ts
=
Σ
n=0
2(-1)"
(n+1/2)π
e-(n+1/2)²²Fo
COS n+
cos (n + 1) = 2
Π
L
(3.44)
Transcribed Image Text:-in terms of temperature T(x,t), Fourier number Fo= at/L², and x/L, T-T To-Ts = Σ n=0 2(-1)" (n+1/2)π e-(n+1/2)²²Fo COS n+ cos (n + 1) = 2 Π L (3.44)
T-Te
To-Te
=
Σe-Fo
n=1
2 sin λn
λn + sin λncos λn
'n
Χ
cos λn
'n
L
Transcribed Image Text:T-Te To-Te = Σe-Fo n=1 2 sin λn λn + sin λncos λn 'n Χ cos λn 'n L
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