8. The shown 2-D plate is in contact with a heat source at its upper edge, which supplies heat at a constant flux, qo, per unit length. a. Derive a finite-difference relationship to express the steady-state temperature at the shown boundary point TP, in terms of the temperatures at the surrounding points (TE, Tw, Ts) and the other quantities in the problem (e.g., k, qo, etc.). Follow the methodology outlined in the class notes (i.e., use energy balance). Assume Ax = Ay. y 90 X b. Modify the relationship for the case when the upper edge is perfectly insulated (without heat addition).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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8. The shown 2-D plate is in contact with a heat source at its upper edge, which supplies heat
at a constant flux, qo, per unit length.
--
a. Derive a finite-difference relationship to express the steady-state temperature at the
shown boundary point TP, in terms of the temperatures at the surrounding points (TE, Tw,
Ts) and the other quantities in the problem (e.g., k, qo, etc.). Follow the methodology
outlined in the class notes (i.e., use energy balance). Assume Ax = Ay.
y
90
b. Modify the relationship for the case when the upper edge is perfectly insulated (without
heat addition).
Transcribed Image Text:8. The shown 2-D plate is in contact with a heat source at its upper edge, which supplies heat at a constant flux, qo, per unit length. -- a. Derive a finite-difference relationship to express the steady-state temperature at the shown boundary point TP, in terms of the temperatures at the surrounding points (TE, Tw, Ts) and the other quantities in the problem (e.g., k, qo, etc.). Follow the methodology outlined in the class notes (i.e., use energy balance). Assume Ax = Ay. y 90 b. Modify the relationship for the case when the upper edge is perfectly insulated (without heat addition).
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