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how can i solve heat equation whit variable function ?

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m
m 2014-7-31
评论： m 2014-8-4
hi
how can i do this :
dT/dx = c/U(y) * d^2T/dy^2
my full problem is :
sol1 := [diff(T(x, y), x)-1.775*10^(-5)*(diff(T(x, y), y, y))/(-1.218493440*10^11*y^2+4.244913600*10^6*y+0.33e-1) = 0, T(x, 0) = 0, (D[1](T))(0, y) = 1000, (D[1](T))(x, 0) = 2000]
thanks
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m
m 2014-8-1
i trying to solve temperature distribution between the tow parallel plate which is in different flux , u(y) is axial speed that just vary with y and i have this conditions :
BC1 = diff(T(x, 0), y)=1000
BC2 = diff(T(x, 0.000025), y)=2000
IC = T(0,y)=0
where :
u(y)=-1.218493440*10^11*y^2+4.244913600*10^6*y+0.033

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