The steady, laminar and fully developed flow of blood in an arteriosclerotic blood vessel with rigid permeable walls is investigated, taking into account the slip condition at the vessel walls. The constitutive equation of blood is represented by a Casson fluid model. The model is used to study the
Flow of a newtonian fluid in a blood vessel with permeable wall—A theoretical model
✍ Scribed by N.K. Mariamma; S.N. Majhi
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 692 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
A perturbation solution of the flow of a homogeneous Newtonian fluid through a tube of finite length with a permeable wall is analysed through a theoretical model in view of its applications in hemodynamics. The flow is characterized by three important parameters: G, the characteristic Reynolds number associated with the pressure outside the tube, /3 the ratio of radius to length of the tube, and e a filtration coefficient, e is assumed to be small so that the validity of the perturbation method is ensured. Perturbation solutions obtained up to O(e 2) are discussed.
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