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forgotten as t
!1
. Justify this assertion by plotting the stationary solution
corresponding to the step initial condition and the initial condition
u
D
U
a
.
(c) Formulate a PDE and boundary conditions to be fulfilled by
u
s
. Write the scaled
version of the problem in b), using the scales 1 and 2.
(d) Solve analytically for the scaled stationary solution (integrate twice and apply
the boundary conditions to determine the integration constants). Show that scale
1 yields temperatures that are much greater than unity if ˇ
1.
