A mathematical note on the Fahraeus-Lindqvist effect in power law fluid

✍ Scribed by S.N. Majhi; L. Usha

• Book ID: 104272564
• Publisher: Springer
• Year: 1985
• Tongue: English
• Weight: 331 KB
• Volume: 47
• Category: Article
• ISSN: 1522-9602
• DOI: 10.1016/s0092-8240(85)90040-0

✦ Synopsis

An axisymmetric flow of a power law fluid through circular tubes under constant pressure gradient with the flow parameters varying radially is analyzed theoretically.

The main finding is that for the Fahraeus-Lindqvist (F-L) effect to occur, it is necessary to have at least one of the parameters K (consistency) and n (index) as a discontinuous function of r in the absence of wall slip; and with slip condition the parameters could be continuous functions of r, under specific conditions. In both the cases the existence of more than one discontinuity cannot be ruled out. The results obtained are consistent with experimental findings of blood flow through narrow tubes.