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- W2167029255 abstract "Peristaltic transport of Herschel-Bulkley fluid in contact with a Newtonian fluid in a channel is investigated for its various applications to flows with physiological fluids (blood, chyme, intrauterine fluid, etc.). The primary application is when blood flows through small vessels; blood has a peripheral layer of plasma and a core region of suspension of all the erythrocytes. That is, in the modeling of blood flow, one needs to consider the core region consisting of a yield stress fluid and the peripheral region consisting of a Newtonian fluid. Peristaltic pumping of a yield stress fluid in contact with a Newtonian fluid has not previously been studied in detail. Our goal is to initiate such a study. The Herschel-Bulkley fluid model considered here reduces to the power law model in the absence of yield stress. The stream function, the velocity field, and the equation of the interface are obtained and discussed. When the yield stress $tau _0to 0$ and when the index $n=1$, our results agree with those of Brasseur et al. (" @default.
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- W2167029255 date "2006-09-11" @default.
- W2167029255 modified "2023-09-23" @default.
- W2167029255 title "Peristaltic transport of a Herschel-Bulkley fluid in contact with a Newtonian fluid" @default.
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- W2167029255 doi "https://doi.org/10.1090/s0033-569x-06-01020-9" @default.
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