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Driving equationInitial conditions Boundary conditions


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\frac{\partial T_b}{\partial t} = a^2 \Delta T_b = a^2\frac{\partial^2 T_b}{\partial z^2}



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T_b(t=0, z) = T_G(z)



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T_b(t, z=0_f \leq z \leq z_f + h_f) = T_f = {\rm const}


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T_b(t, z \rightarrow \infty) = T_G(z)


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