Document Type

Thesis

Date of Award

5-31-1984

Degree Name

Master of Science in Mechanical Engineering - (M.S.)

Department

Mechanical Engineering

First Advisor

Rong-Yaw Chen

Second Advisor

Hans E. Pawel

Third Advisor

Benedict C. Sun

Abstract

This study investigated the behaviour of charged particles in cylindrical chambers under the influence of image, inertia, viscous and gravitational forces. The flow was considered to be laminar, steady state and incompressible. The velocity profiles considered were uniform and parabolic with symmetry about the axis of the cylinder.

The governing equations derived were based on Newton's second law of motion. The equations for the case neglecting gravity are linear second order equations and the Runge-Kutta method was used to find a numerical solution. The data hence obtained is fitted to equations using curve fitting method. These equations and graphical techniques are used to interpret the results.

Variations in deposition were determined using an axial distance parameter which is in proportion to the image force divided by the viscous force. The results were obtained for different values of 8, a dimensionless parameter which is in proportion to the inertia parameter which in turn was related to the Stokes number. For a value of Q equal to zero the analysis reduces to that of particles under the influence of image charge only. It was concluded that the deposition increases for a increase in the inertia parameter and a decrease in the charge on the particles.

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