For the plane wall shown, solve the conduction equation, deriving an algebraic expression for the steady temperature, T(x). Then, plot the wall temperature on the (T,x) axes below. What is the slope of T(x) at x = 0 ? The left surface of the wall is insulated, and the right surface is exposed to a fluid. Assume 1-D conduction, uniform internal heat generation, and neglect radiation. L= 20.0 cm T(°C) fluid k= 15 W/m•K T= 20°C h = 100 W/m²-K ġ = 10$ W/m³ x (cm) 0.0 5.0 10.0 15.0 20.0

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
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For the plane wall shown, solve the conduction equation, deriving an algebraic expression
for the steady temperature, T(x). Then, plot the wall temperature on the (T,x) axes below.
What is the slope of T(x) at x = 0 ? The left surface of the wall is insulated, and the right
surface is exposed to a fluid. Assume 1-D conduction, uniform internal heat generation, and
neglect radiation.
L= 20.0 cm
T (°C)
fluid
k = 15 W/m-K
T= 20°C
h = 100 W/m2-K
= 105 W/m³
x (ст)
0.0
5.0
10.0
15.0
20.0
Transcribed Image Text:For the plane wall shown, solve the conduction equation, deriving an algebraic expression for the steady temperature, T(x). Then, plot the wall temperature on the (T,x) axes below. What is the slope of T(x) at x = 0 ? The left surface of the wall is insulated, and the right surface is exposed to a fluid. Assume 1-D conduction, uniform internal heat generation, and neglect radiation. L= 20.0 cm T (°C) fluid k = 15 W/m-K T= 20°C h = 100 W/m2-K = 105 W/m³ x (ст) 0.0 5.0 10.0 15.0 20.0
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