<DOC>
<DOCNO>
584
</DOCNO>
<TITLE>
conduction of heat in a solid with a power law of heat
transfer at its surface .
</TITLE>
<AUTHOR>
jaeger,j.c.
</AUTHOR>
<BIBLIO>
proc. cam.phil. s. 46, 1950, 634.
</BIBLIO>
<TEXT>
  the nonlinear boundary value problem, where
and m are constants, is solved formally by first
introducing power series in t for the unknown temperature
and flux at the surface and then determining the coefficients
in those series .  in this manner the temperature function is
determined as a series of repeated integrals of error functions
.  the convergence is rapid only for small values of t .
the special cases and generalizations of
the condition at the surface for which the same method
applies, are noted .  surface temperatures are also found by
methods of difference equations, where t is not limited to
small values .  graphs of these temperatures corresponding
to various laws of heat transfer at the surface are shown .
</TEXT>
</DOC>
