Boundary Value Problems - Newton's Law of Cooling

[RollTideGirl]

Any help with this would be GREATLY appreciated. I'm totally stuck on what to do.

Let a slab 0 ? x ? L, (y ? 0), be subjected to surface heat transfer, according
to Newton’s law of cooling, at its face x = 0 with surface conductance H. The face x = L is
maintained at a fixed temperature T2. Suppose that the medium x < 0 has temperature T1.

(a) Write the boundary value problem for steady-state temperature u(x), i.e. the equation and
corresponding boundary conditions,
(

b) and then solve the problem derived in part (a)

 

[Deleted member 4993]

Any help with this would be GREATLY appreciated. I'm totally stuck on what to do.

Let a slab 0 ? x ? L, (y ? 0), be subjected to surface heat transfer, according
to Newton’s law of cooling, at its face x = 0 with surface conductance H. The face x = L is
maintained at a fixed temperature T2. Suppose that the medium x < 0 has temperature T1.

(a) Write the boundary value problem for steady-state temperature u(x), i.e. the equation and
corresponding boundary conditions,
(

b) and then solve the problem derived in part (a)

write the differential equation for Newton's Law of cooling.

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