(b) Your friend argues that a symmetry boundary condition in a slab can be treated as an adiabatic boundary condition on the half-slab. To make her case, she draws the two configurations (A and B) of long and wide slabs generating heat uniformly as shown in the figure (Fig. 1), where L and T, (surface temperature) are known and same for these two configurations. She claims that if thermal conductivity and volumetric heat generation rates are same for these two configurations, the temperature profile in the slabs will be identical (i.e., temperature profile in B will look similar to that in A). Do you agree with your friend? Provide justifications. k. Ts A Symmetry L Ts Insulated Figure 1: Schematic for Question 1(b) L B Ts
(b) Your friend argues that a symmetry boundary condition in a slab can be treated as an adiabatic boundary condition on the half-slab. To make her case, she draws the two configurations (A and B) of long and wide slabs generating heat uniformly as shown in the figure (Fig. 1), where L and T, (surface temperature) are known and same for these two configurations. She claims that if thermal conductivity and volumetric heat generation rates are same for these two configurations, the temperature profile in the slabs will be identical (i.e., temperature profile in B will look similar to that in A). Do you agree with your friend? Provide justifications. k. Ts A Symmetry L Ts Insulated Figure 1: Schematic for Question 1(b) L B Ts
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.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.10P: 5.10 Experiments have been performed on the temperature distribution in a homogeneous long cylinder...
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Transcribed Image Text:(b) Your friend argues that a symmetry boundary condition in a slab can be treated as an adiabatic
boundary condition on the half-slab. To make her case, she draws the two configurations (A and
B) of long and wide slabs generating heat uniformly as shown in the figure (Fig. 1), where L
and T, (surface temperature) are known and same for these two configurations. She claims that
if thermal conductivity and volumetric heat generation rates are same for these two configurations,
the temperature profile in the slabs will be identical (i.e., temperature profile in B will look similar
to that in A). Do you agree with your friend? Provide justifications.
y
Z
12.
X
Ts
A
Symmetry
L
Ts
Insulated
Z
X
Figure 1: Schematic for Question 1(b)
L
B
Ts
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