Fahraeus-Lindqvist effect in an Oldroyd 8-constant fluid

M. Sajid, N. Ali, A. M. Siddiqui, Z. Abbas

Research output: Contribution to journalArticle

Abstract

A pressure driven axisymmetric flow in a circular tube, having a non-Newtonian Oldroyd 8-constant fluid in the core, is considered in this paper. The Oldroyd 8-constant fluid is surrounded by a Newtonian fluid in the present study. The exact solution of the governing equation is obtained in the form of an integral which is evaluated using Gaussian quadrature. The expression for the apparent viscosity is obtained. The graphical results are presented for the profiles of apparent viscosity for different values of the material parameters plotted against tube radius. It is found that for all the values of the material parameters, the apparent viscosity decreases as the tube radius decreases which is the Fahraeus-Lindqvist effect. The results for the case, when there is no Newtonian fluid present in the periphery, are also deduced.

Original languageEnglish (US)
Pages (from-to)1899-1903
Number of pages5
JournalScientia Iranica
Volume22
Issue number5
StatePublished - 2015

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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  • Cite this

    Sajid, M., Ali, N., Siddiqui, A. M., & Abbas, Z. (2015). Fahraeus-Lindqvist effect in an Oldroyd 8-constant fluid. Scientia Iranica, 22(5), 1899-1903.