2015
DOI: 10.1016/j.aej.2015.07.009
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Effect of slip on Herschel–Bulkley fluid flow through narrow tubes

Abstract: A two-fluid model of Herschel-Bulkley fluid flow through tubes of small diameters and slip at the wall is studied. It is assumed that the core region consists of Herschel-Bulkley fluid and Newtonian fluid in the peripheral region. Following the analysis of Chaturani and Upadhya, the equations of motion have been linearized and analytical solution for velocity, flow flux, effective viscosity, core hematocrit and mean hematocrit has been obtained. The expressions for all these flow relevant quantities have been … Show more

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Cited by 8 publications
(3 citation statements)
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“…The axisymmetric flow of two immiscible, Newtonian fluids driven by a constant pressure gradient in a periodically constricted tube was studied by Fraggedakis et al (2015). Santhosh et al (2015) studied two-fluid model of Herschel-Bulkley fluid in the core region and Newtonian fluid in the peripheral region through small diameters of tubes with slip effect. It was observed that the flow shows abnormal Fahraeus-Lindqvist effect.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…The axisymmetric flow of two immiscible, Newtonian fluids driven by a constant pressure gradient in a periodically constricted tube was studied by Fraggedakis et al (2015). Santhosh et al (2015) studied two-fluid model of Herschel-Bulkley fluid in the core region and Newtonian fluid in the peripheral region through small diameters of tubes with slip effect. It was observed that the flow shows abnormal Fahraeus-Lindqvist effect.…”
Section: Introductionmentioning
confidence: 99%
“…Santhosh et al (2015) studied two-fluid model of Herschel–Bulkley fluid in the core region and Newtonian fluid in the peripheral region through small diameters of tubes with slip effect. It was observed that the flow shows abnormal Fahraeus–Lindqvist effect.…”
Section: Introductionmentioning
confidence: 99%
“…Besides, the Herschel-Bulkley model can be reduced to different models, for example, Newtonian, Bingham-plastic and Power law for a related estimation of yield stress and fluid behavior index. The examinations on the peristaltic mechanism of Herschel-Bulkley fluid for various geometries, physiological circumstances, and assumptions have been introduced in the investigations of Chunhui et al (2010), Manjunatha et al (2013Manjunatha et al ( , 2014, Santhosh et al (2015).…”
Section: Introductionmentioning
confidence: 99%