Question

Q1: A thin rectangular homogenous thermally conducting plate occupies the region 0 <xsa,
0 <y sb. The edge y=0 is held at temperature Tx(x - a), where T is a constant and the
other edges are maintained at 0°. The other faces are insulated and there is no heat source or
sink inside the plate. Find the steady state temperature inside the plate.

Q2: Find the one-dimensional diffusion equation (parabolic equation) satisfying the boundary
conditions
(1) T is bounded as t → infinity
(ii) del T/ del x = 0 at x=0 and a for all t
(iii) T(x,0) = x(a - x),0 < x <a.​

Answer 1

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