Heat Conduction The wall (thickness L) of a furnace, with inside temperature 800° C, is comprised of brick material [thermal conductivity = 0.02 W m-¹ K-¹)]. Given that the wall thickness is 12 cm, the atmospheric temperature is 0° C, the density and heat capacity of the brick material are 1.9 gm cm-³ and 6.0 J kg-¹ K-¹ respectively, estimate the temperature profile within the brick wall after 2 hours. Solve the partial differential equation მ ƏT ar (37) = k əx Ət subject to the initial condition TX 2L and = pc- T(x,0) = 800 sin and boundary conditions at the inner (x= L) and outer (x = 0) walls of T = 0 at x = 0 ƏT at x = L ?х Find the temperature profile at T = 7200 seconds = 2 hours. 0
Heat Conduction The wall (thickness L) of a furnace, with inside temperature 800° C, is comprised of brick material [thermal conductivity = 0.02 W m-¹ K-¹)]. Given that the wall thickness is 12 cm, the atmospheric temperature is 0° C, the density and heat capacity of the brick material are 1.9 gm cm-³ and 6.0 J kg-¹ K-¹ respectively, estimate the temperature profile within the brick wall after 2 hours. Solve the partial differential equation მ ƏT ar (37) = k əx Ət subject to the initial condition TX 2L and = pc- T(x,0) = 800 sin and boundary conditions at the inner (x= L) and outer (x = 0) walls of T = 0 at x = 0 ƏT at x = L ?х Find the temperature profile at T = 7200 seconds = 2 hours. 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
Problem 1.1P
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![Heat Conduction
The wall (thickness L) of a furnace, with inside temperature 800° C, is comprised of brick material
[thermal conductivity = 0.02 W m-¹ K-¹)]. Given that the wall thickness is 12 cm, the atmospheric
temperature is 0° C, the density and heat capacity of the brick material are 1.9 gm cm-³ and
6.0 J kg ¹ K¹ respectively, estimate the temperature profile within the brick wall after 2 hours.
Solve the partial differential equation
ƏT
= pc at
Ə
əx
(NOT)
k
subject to the initial condition
TX
2L
and
=
T(x,0) = 800 sin
and boundary conditions at the inner (x = L) and outer (x = 0) walls of
T = 0
x = 0
=
0
ƏT
at
x = L
əx
Find the temperature profile at T = 7200 seconds
at
= 2 hours.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F34e8a647-576a-442a-b00f-9306c452585e%2Fba9d6007-2d55-457f-b13c-0af3b69f6417%2Faqfhvu_processed.png&w=3840&q=75)
Transcribed Image Text:Heat Conduction
The wall (thickness L) of a furnace, with inside temperature 800° C, is comprised of brick material
[thermal conductivity = 0.02 W m-¹ K-¹)]. Given that the wall thickness is 12 cm, the atmospheric
temperature is 0° C, the density and heat capacity of the brick material are 1.9 gm cm-³ and
6.0 J kg ¹ K¹ respectively, estimate the temperature profile within the brick wall after 2 hours.
Solve the partial differential equation
ƏT
= pc at
Ə
əx
(NOT)
k
subject to the initial condition
TX
2L
and
=
T(x,0) = 800 sin
and boundary conditions at the inner (x = L) and outer (x = 0) walls of
T = 0
x = 0
=
0
ƏT
at
x = L
əx
Find the temperature profile at T = 7200 seconds
at
= 2 hours.
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