2.60 A plane wall with constant properties is initially at a uni- form temperature T, Suddenly, the surface at x = L is exposed to a convection process with a fluid at T_(>T.) having a convection coefficient h. Also, suddenly the wall experiences a uniform internal volumetric heating q that is sufficiently large to induce a maximum steady- state temperature within the wall, which exceeds that of the fluid. The boundary at x = 0 remains at T T- -k, ģ(120) T_.h (a) On T-x coordinates, sketch the temperature dis- tributions for the following conditions: initial con- dition (t ≤ 0), steady-state condition (→∞), and for two intermediate times. Show also the distribu- tion for the special condition when there is no heat flow at the x = L boundary. (b) On - 1 coordinates, sketch the heat flux for the locations x = 0 and x = L, that is, qX(0, 1) and q(L, 1), respectively.

2.60 A plane wall with constant properties is initially at a uni- form temperature T, Suddenly, the surface at x = L is exposed to a convection process with a fluid at T_(>T.) having a convection coefficient h. Also, suddenly the wall experiences a uniform internal volumetric heating q that is sufficiently large to induce a maximum steady- state temperature within the wall, which exceeds that of the fluid. The boundary at x = 0 remains at T T- -k, ģ(120) T_.h (a) On T-x coordinates, sketch the temperature dis- tributions for the following conditions: initial con- dition (t ≤ 0), steady-state condition (→∞), and for two intermediate times. Show also the distribu- tion for the special condition when there is no heat flow at the x = L boundary. (b) On - 1 coordinates, sketch the heat flux for the locations x = 0 and x = L, that is, qX(0, 1) and q(L, 1), respectively.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter1: Temperature And Heat

Section: Chapter Questions

Problem 9CQ: Calculate the length of a 1-meter rod of a material with thermal expansion coefficient a when the...

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Question

100%

2.60 A plane wall with constant properties is initially at a uni-
form temperature T, Suddenly, the surface at x = L is
exposed to a convection process with a fluid at T.(>T.)
having a convection coefficient h. Also, suddenly the
wall experiences a uniform internal volumetric heating q
that is sufficiently large to induce a maximum steady-
state temperature within the wall, which exceeds that of
the fluid. The boundary at x = 0 remains at T
T₂
-k, ģ(120)
Th
Lx
(a) On T-x coordinates, sketch the temperature dis-
tributions for the following conditions: initial con-
dition (t ≤0), steady-state condition (→∞), and
for two intermediate times. Show also the distribu-
tion for the special condition when there is no heat
flow at the x = L boundary.
(b) On q-t coordinates, sketch the heat flux for the
locations x = 0 and x=L, that is, (0, 1) and
q(L, 1), respectively.

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