Find the temperature profile in the semi-infinite solid defined by the Figure P9.15. The side at \(x=0\) is held at a temperature \(T=0\). The side defined by \(y=0\) is insulated for \(01\). Use the transformation \(z=\sin (w)\) where \(z=x+i y\) and \(w=\phi+i \psi\). This transformation takes the region \(x=0\) and maps it to \(\phi=0\). It takes the region \(01\) and maps it to \(\phi=\pi / 2\).

Transcribed Image Text:

FIGURE P9.15 T=0 T=1 X