| Summary: | 碩士 === 淡江大學 === 化學工程研究所 === 82 === A theoretical method is described for obtainingion to a
conjugated graetz system with the effects of recycle at the
ends of a parallel plate counter-flow heat exchanger. The
present method leads to necessity of solving conjugated
boundary value problems,i.e. extending the single stream
problems mentioned above to multiphase or multistream problem.
Since the governing equation in these problems are
coupled throuth conjugated conditions at the boundaries. We
do with the system described by the energy eguation
associated with the boundary and inlet conditions for
the two streams, using the separation of variables leads
to a special case of the Sturm-Liouville problem; the
eigen-values and the corresponding eigen-functions of the
Sturm-Liouville system has been calculated by completely
numerical methods. After obtaining the coefficients of
expansion by means of Gauss-Elimination , we can get
the temperature profiles in plates. Coming to the
conclusion that the introduction of recycle can enhance
the effect of heat transfer for large Graetz number, and
that the introduction of recycle will reduce the effect of
heat transfer for small Graetz number。
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