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Topic: ? estimations using only surface measurements
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Cheng Cosine

Posts: 158
Registered: 7/14/08
? estimations using only surface measurements
Posted: Jul 13, 2012 8:13 AM
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Hi:

Given a heat transfer setting:

pdiff(T, t) = div( a(x,t)*grad(T) )+q(x,t)

T(x, t=0 ) = T0(x)
T(x at surface, t) = Tb(x, t)

Can we get reliable estimations for the following cases:

(1) q = 0, a = given constant, Tb = Tb(x) are given at a set of finite
points

estimae T0(x) and T(x, t = tdesired)

(2) q = 0, a = a(x), Tb = Tb(x) are given at a set of finite points

estimae T(x, t = tdesired) and a(x)

(3) q = q(x), a = given constant, Tb = Tb(x) are given at a set of
finite points

estimae q(x) when T0(x) are not known

Thank you,





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