The wall (thickness L) of a furnace, with inside temperature 800° C, is comprised of brick material [thermal conductivity = 0.02 W m-' K-')). 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 K- respectively, estimate the temperature profile within the brick wall after 2 hours. Solve the partial differential equation ƏT = pc- at subject to the initial condition
The wall (thickness L) of a furnace, with inside temperature 800° C, is comprised of brick material [thermal conductivity = 0.02 W m-' K-')). 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 K- respectively, estimate the temperature profile within the brick wall after 2 hours. Solve the partial differential equation ƏT = pc- at subject to the initial condition
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter7: Forced Convection Inside Tubes And Ducts
Section: Chapter Questions
Problem 7.29P
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Transcribed Image Text:The wall (thickness L) of a furnace, with inside temperature 800° C, is comprised of brick material
(thermal conductivity = 0.02 W m-! K-')). 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-l respectively, estimate the temperature profile within the brick wall after 2 hours.
Solve the partial differential equation
()-~
ƏT
ƏT
subject to the initial condition
T(x,0) = 800 sin ;
2L
%3D
and boundary conditions at the inner (z = L) and outer (r = 0) walls of
T = 0
x =0
at
and
ƏT
I = L
at
Find the temperature profile at T = 7200 seconds = 2 hours.
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