Dispersion in oscillatory flows

Thesis



The enhanced axial mixing which is caused by dispersion in oscillatory flows in some mass transfer devices may limit the reactor performance. This effect has provided the motivation for the present study in which oscillatory flow dispersion in a flat channel of large aspect ratio is investigated. The rate of spreading of a uniform slug of some passive tracer has been predicted using numerical and analytical techniques and the results have been verified experimentally.

The numerical approach has used a finite difference time-marching method to obtain predictions for the channel concentrations. From the results, the dispersion coefficient (D) has been evaluated for Strouhal numbers of O.O1→0.2 and for mean Reynolds numbers of O.4→2OO at Schmidt numbers (Sc) O(1O³) . It has been concluded that under these conditions D varies as stroke squared. Unless the flow is not quasi-steady (i.e. if pulsatile Reynolds number α²<O(l)) D is only a weak function of frequency. These predictions for the dispersion coefficient have been in excellent agreement with those of Watson (256). It has also been concluded from the numerical study that the phase of the velocity sinusoid at the instant of injection has a critical effect upon the form of the concentration evolution.

An approximate analytical technique has been developed in which weighted mean cross-channel concentrations are defined. The wall concentration is expressed approximately using a Fourier series. This procedure leads to ordinary differential equations for the axial moments. When the axial variance of mean concentration and the dispersion coefficient were computed in this way for quasi-steady flows good agreement was obtained with the numerical work.

Simple opto-electronic gauges have been developed to measure mean cross-channel concentrations. The sensors have been used to obtain experimental data for the dispersion coefficient of a furrowed channel mass transfer device using slug stimulus techniques. Experimental investigations of dispersion in oscillatory flows in a flat channel using these gauges has produced values for D which are in agreement with the theoretical predictions for quasi-steady flows.

Authors: Stairmand, J; Stairmand, John W.

• Publication date: 1983
• Type of award: DPhil
• Level of award: Doctoral
• Awarding institution: University of Oxford
• Language: English
• Subjects: Oxygenators; Hemodialyzers; Dispersion