ISSN:
1435-1528
Source:
Springer Online Journal Archives 1860-2000
Topics:
Chemistry and Pharmacology
,
Physics
Notes:
Summary The phenomenon of flow formation in a circular tube of a viscous fluid containing rigid spherical particles is analysed using a micro-continuum approach. The pressure gradient was assumed to be an arbitrary function of time mathematically describable by aFourier series. A new boundary condition, which is in accord with experimental observations on suspended particle motion, has been proposed to describe particle rotations at a solid boundary. General solutions to the governing equations are obtained through application of consecutiveHankel andLaplace transforms. Solutions are also given for the special cases of a step-change in pressure gradient, steady oscillatory flow, and steady flow.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01527130