A generally applicable model for mixing in stirred vessels
is derived; it is based on the flow patterns and internal
circulation rates produced by the impeller which behaves as a
The model is solved by means of a new and powerful numerical
technique which can be applied to mixing models consisting of any
configuration of well mixed stages; it is based on a probabilistic
treatment of an ideal mixing stage and leads to a flexible, easy
to use and efficient computer programme.
The truncated moments, a set of easily measureable and
model - independent parameters, are suggested for the
characterisation of dynamic responses; the first of these
moments provides a measure of the most significant features of
the proposed model and, for certain applications, gives a,direct
indication of the optimal mode of operation.
A simplified version of the general model is shown to fit
three quite different turbine stirred systems over a wide range of operating conditions.
A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy of Loughborough University.