Particle distribution for dilute suspension in flow

✍ Scribed by Ahferom Tesfagaber; Marshall M. Lih

• Publisher: Springer
• Year: 1973
• Tongue: English
• Weight: 549 KB
• Volume: 35
• Category: Article
• ISSN: 1522-9602
• DOI: 10.1016/s0092-8240(73)80055-2

✦ Synopsis

Analytic expressions for t h e velocity profile a n d particle d i s t r i b u t i o n of a dilute suspension in flow were o b t a i n e d as functions of radial distance. E i n s t e i n ' s linear viscosity model a n d t h e h y p o t h e s i s of " m i n i m u m energy dissipation" were used. T h e m e t h o d s of v a r i a t i o n a l calculus were applied d u r i n g t h e m a t h e m a t i c a l d e v e l o p m e n t .

A parabolic velocity profile, w h i c h is a modified f o r m of t h a t for H a g e n -P o i s e u i l l e flow, a n d a u n i f o r m particle d i s t r i b u t i o n were obtained. A n a t t e m p t is m a d e to explain t h e results in light of some of t h e widely held theories on suspension flow a n d t h e r a t h e r severe limitations of E i n s t e i n ' s viscosity model. A suggestion for f u t u r e w o r k is m a d e for imp r o v i n g t h e results of t h e present.