Title
Mathematical Model For A Herschel-Bulkley Fluid Flow In An Elastic Tube
Keywords
blood flow; elastic tube; fluid flux; Herschel-Bulkley fluid; non-Newtonian fluid
Abstract
The constitution of blood demands a yield stress fluid model, and among the available yield stress fluid models for blood flow, the Herschel-Bulkley model is preferred (because Bingham, Power-law and Newtonian models are its special cases). The Herschel-Bulkley fluid model has two parameters, namely the yield stress and the power law index. The expressions for velocity, plug flow velocity, wall shear stress, and the flux flow rate are derived. The flux is determined as a function of inlet, outlet and external pressures, yield stress, and the elastic property of the tube. Further when the power-law index n = 1 and the yield stress τ0 → 0, our results agree well with those of Rubinow and Keller [J. Theor. Biol. 35, 299 (1972)]. Furthermore, it is observed that, the yield stress and the elastic parameters (t1 and t2) have strong effects on the flux of the non-Newtonian fluid flow in the elastic tube. The results obtained for the flow characteristics reveal many interesting behaviors that warrant further study on the non-Newtonian fluid flow phenomena, especially the shear-thinning phenomena. Shear thinning reduces the wall shear stress. © 2011 Versita Warsaw and Springer-Verlag Wien.
Publication Date
10-1-2011
Publication Title
Central European Journal of Physics
Volume
9
Issue
5
Number of Pages
1357-1365
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.2478/s11534-011-0034-3
Copyright Status
Unknown
Socpus ID
80052739625 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/80052739625
STARS Citation
Vajravelu, Kuppalapalle; Sreenadh, Sreedharamalle; Devaki, Palluru; and Prasad, Kerehalli V., "Mathematical Model For A Herschel-Bulkley Fluid Flow In An Elastic Tube" (2011). Scopus Export 2010-2014. 2931.
https://stars.library.ucf.edu/scopus2010/2931