This study analyses the pulsatile flow of blood through mild stenosed narrow arteries, treating the blood in the core region as a Casson fluid and the plasma in the peripheral layer as a Newtonian fluid. Perturbation method is employed to solve the resulting coupled implicit system of non-linear par
A mathematical analysis of blood flow from a feeding artery into a branch capillary
β Scribed by J.C. Misra; B.K. Kar
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 587 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0895-7177
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β¦ Synopsis
This paper deals with a mathematical analysis of branching in the microcirculatory system. The specific problem considered is that of blood entering from a feeding artery into a branch capillary. Flow of blood is investigated by considering blood to be plastic of Herschel-Bulkley type. Red cells in blood are taken to be concentrated in the core region, where the concentration profile is specified by a piecewise linear function. Basing upon the said model, an analytical expression for hematocrit reduction in the branch capillary is derived. Quantitative variation of the relative hematocrit is also examined, by considering a specific numerical example.
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