The wall (thickness L) of a furnace is comprised of brick material (thermal conductivity, k = 0.2 Wm¯l K'). Given that the atmospheric temperature is 0°C at both sides of wall, the density (p) and heat capacity (c) of the brick material are 1.6 gm cm³ and 5.0 J kg K¯ respectively. du Solve pc- = k- subject to initial conditions as u(x,0) = x²(L – x). Consider the case 1=- p² only.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The wall (thickness L) of a furnace is comprised of brick material (thermal conductivity,
k = 0.2 Wm¯' K'). Given that the atmospheric temperature is 0°C at both sides of wall, the
density (p) and heat capacity (c) of the brick material are 1.6 gm cm³ and 5.0 J kg K¯
respectively.
a²u
ди
Solve pc=k-
at
subject to initial conditions as u(x,0) = x² (L – x).
Consider the case =- p only.
Transcribed Image Text:The wall (thickness L) of a furnace is comprised of brick material (thermal conductivity, k = 0.2 Wm¯' K'). Given that the atmospheric temperature is 0°C at both sides of wall, the density (p) and heat capacity (c) of the brick material are 1.6 gm cm³ and 5.0 J kg K¯ respectively. a²u ди Solve pc=k- at subject to initial conditions as u(x,0) = x² (L – x). Consider the case =- p only.
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