Abstract:
: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.
journal_name
Biomech Model Mechanobioljournal_title
Biomechanics and modeling in mechanobiologyauthors
Akbarzadeh Pdoi
10.1007/s10237-017-0945-zsubject
Has Abstractpub_date
2018-02-01 00:00:00pages
71-86issue
1eissn
1617-7959issn
1617-7940pii
10.1007/s10237-017-0945-zjournal_volume
17pub_type
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