Peristaltic biofluids flow through vertical porous human vessels using third-grade non-Newtonian fluids model

In this paper, the heat and flow characteristic of third-grade non-Newtonian biofluids flow through a vertical porous human vessel due to peristaltic wall motion are studied. The third-grade model can describe shear thinning (or shear thickening) and normal stress differences, which is acceptable fo...

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Bibliographic Details
Published in:Biomechanics and modeling in mechanobiology 2018-02, Vol.17 (1), p.71-86
Main Author: Akbarzadeh, Pooria
Format: Article
Language:English
Subjects:
Biological and Medical Physics
Biomedical Engineering and Bioengineering
Biophysics
Computational fluid dynamics
Engineering
Flow velocity
Grashof number
Human motion
Mathematical models
Newtonian fluids
Non Newtonian fluids
Original Paper
Perturbation methods
Porosity
Shear stress
Shear thickening (liquids)
Shear thinning (liquids)
Slopes
Space life sciences
Temperature distribution
Theoretical and Applied Mechanics
Thickening
Velocity distribution
Viscosity
Wavelength
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Summary:In this paper, the heat and flow characteristic of third-grade non-Newtonian biofluids flow through a vertical porous human vessel due to peristaltic wall motion are studied. The third-grade model can describe shear thinning (or shear thickening) and normal stress differences, which is acceptable for biofluids modeling. In order to solve the governing equations, the assumption of long-wavelength approximation is utilized. This hypothesis emphasizes that the wavelength of the peristaltic wall motion is large in comparison with the radius of the human vessel, which is widely acceptable in biological investigations. The analytical perturbation method is employed to solve the governing equations. Consequently, analytical expressions for the velocity profile, shear stress, temperature field, and biofluid flow rate are obtained. In addition, the effects of the governing parameters such as the third-grade non-Newtonian parameter, Grashof Number, Eckert number, and porosity, on the results are examined.
ISSN:1617-7959
1617-7940
DOI:10.1007/s10237-017-0945-z