Determine the steady state temperature distribution T(x, y) in a square sheet of material with sides of unit length with the y = 0 side insulated, the sides x = 0 and y = 1 are maintained at temperature zero, and the side x = 1 maintained at temperature To. The relevant equations are thus with Txx+Tyy = 0, in 0
Determine the steady state temperature distribution T(x, y) in a square sheet of material with sides of unit length with the y = 0 side insulated, the sides x = 0 and y = 1 are maintained at temperature zero, and the side x = 1 maintained at temperature To. The relevant equations are thus with Txx+Tyy = 0, in 0
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Transcribed Image Text:Plate heating
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(a) Determine the steady state temperature distribution T(x, y) in a square sheet of
material with sides of unit length with the y 0 side insulated, the sides x = 0
and y = 1 are maintained at temperature zero, and the side x = 1 maintained at
temperature To. The relevant equations are thus
with
Tre+Ty
xx
уу
=
0, in 0 < x < 1,0 < y < 1,
T(0, y) = 0, T(1, y) = To, Ty(x, 0) = 0, and T(x, 1) = 0.
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