Consider steady, two-dimensional heat transfer in a domain showed below. There is no heat generation and a thermal conductivity k is uniform. Top surface is exposed to convection and the other is insulated as shown. Te, h 1 3 4 45° insulated 6 Beginning with properly defined control volumes, determine the finite difference equations for nodes 3 and 5 (i.e., find temperatures at nodes 3 and 5). Note that the spacing between all the nodes are equal (Ax = Ay). There is no need to rearrange the equations, do not spend time on that.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Consider steady, two-dimensional heat transfer in a domain showed below. There is
no heat generation and a thermal conductivity k is uniform. Top surface is exposed to
convection and the other is insulated as shown.
Te, h
1
3
4
45°
insulated
6
Beginning with properly defined control volumes, determine the finite difference equations
for nodes 3 and 5 (i.e., find temperatures at nodes 3 and 5). Note that the spacing between all
the nodes are equal (Ax = Ay). There is no need to rearrange the equations, do not spend
time on that.
Transcribed Image Text:Consider steady, two-dimensional heat transfer in a domain showed below. There is no heat generation and a thermal conductivity k is uniform. Top surface is exposed to convection and the other is insulated as shown. Te, h 1 3 4 45° insulated 6 Beginning with properly defined control volumes, determine the finite difference equations for nodes 3 and 5 (i.e., find temperatures at nodes 3 and 5). Note that the spacing between all the nodes are equal (Ax = Ay). There is no need to rearrange the equations, do not spend time on that.
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