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Cited by 94 publications
(43 citation statements)
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“…The geometry of the stenosis which is assumed to be manifested in the arterial segment is described as [26] ( ) 0 0 cos 2π 1 , , the stenosed region 2 2 , in the normal artery region…”
Section: S U Siddiqui C Awasthi Journal Of Applied Mathematics Anmentioning
confidence: 99%
“…The geometry of the stenosis which is assumed to be manifested in the arterial segment is described as [26] ( ) 0 0 cos 2π 1 , , the stenosed region 2 2 , in the normal artery region…”
Section: S U Siddiqui C Awasthi Journal Of Applied Mathematics Anmentioning
confidence: 99%
“…shear rates (r < lO/sec) in small diameter arteries (0.02 mm-O.l mm), particularly, in diseased state, the actual flow is distinctly pulsatile (Sankar and Hemalatha, 2006;Liu et aI., 2004;Chaturani and Po=a-lagar Samy, 1986). Several researchers have analyzed the non-Newtonian behavior and pulsatile flow of blood through stenosed arteries (Sankar and Hemalatha, 2006;MandaI, 2005;Tu and Deville, 1996;Chaturani andPo=alagar Samy, 1985;1986).…”
Section: Mathematical Formulationmentioning
confidence: 99%
“…Several researchers have analyzed the non-Newtonian behavior and pulsatile flow of blood through stenosed arteries (Sankar and Hemalatha, 2006;MandaI, 2005;Tu and Deville, 1996;Chaturani andPo=alagar Samy, 1985;1986). Bugliarello and Sevilla (1970) and Cokelet (1972) have reported that for blood flowing through narrow blood vessels, there is a peripheral layer of plasma (Newtonian fluid) and a core region of suspension of all the red cells as a non-Newtonian fluid.…”
Section: Mathematical Formulationmentioning
confidence: 99%
See 1 more Smart Citation
“…Tu and Deville [21] presented a theoretical analysis of pulsatile flow of blood in stenosed arteries, where the non-Newtonian behavior of blood was taken to be of Herschel-Bulkley type. Cassonova and Giddens [1] as well as Young and Tsai [24] experimentally investigated the pulsatility of blood flow through arterial stenosis, while several other researchers [3,15,19] theoretically carried out the pulsatile flow of a single-layer non-Newtonian fluid past on arterial stenosis. Sud and Sekhon [20] presented a mathematical model of flow in a single artery subject to a pulsating pressure gradient as well as body acceleration.…”
Section: Introductionmentioning
confidence: 99%