2015
DOI: 10.1115/1.4031093
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Quasi-Two-Dimensional Numerical Analysis of Fast Transient Flows Considering Non-Newtonian Effects

Abstract: In this study, the difference between laminar fast transient flow of shear-thinning liquids and that of Newtonian liquids under similar conditions is numerically studied. Since the literature appears to lack fast transient flow investigation of non-Newtonian fluids, this work addresses features of those flows. In this way, the Newton–Kantorovich method is implemented to linearize nonlinear shear stress term available in the characteristic equations. The verification and validation of the solution are carried o… Show more

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Cited by 26 publications
(3 citation statements)
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“…Moreover, blood viscosity has been assumed to be constant in most published papers by using the dynamic viscosity of μ = 0.0035 Pa.s, but in some papers blood has been assumed to be a non-Newtonian fluid by utilizing the Carreau–Yasuda model [ 36 ] and the Carreau [ 34 ] model. In many publications [ 45 – 51 ], it has been shown that blood significantly possesses the non-Newtonian properties, such as shear thinning, viscoelasticity, and thixotropic. In our most recent publications [ 18 , 52 ], the effect of the non-Newtown assumption on the flow dynamics was analyzed by using different blood rheological models under the physiological condition.…”
Section: Computational Fluid Dynamics (Cfd) Approachesmentioning
confidence: 99%
“…Moreover, blood viscosity has been assumed to be constant in most published papers by using the dynamic viscosity of μ = 0.0035 Pa.s, but in some papers blood has been assumed to be a non-Newtonian fluid by utilizing the Carreau–Yasuda model [ 36 ] and the Carreau [ 34 ] model. In many publications [ 45 – 51 ], it has been shown that blood significantly possesses the non-Newtonian properties, such as shear thinning, viscoelasticity, and thixotropic. In our most recent publications [ 18 , 52 ], the effect of the non-Newtown assumption on the flow dynamics was analyzed by using different blood rheological models under the physiological condition.…”
Section: Computational Fluid Dynamics (Cfd) Approachesmentioning
confidence: 99%
“…Non-Newtonian constitutive equations can be divided into Generalized Newtonian Fluid (GNF) models and linear and nonlinear viscoelastic models. GNF non-Newtonian constitutive equations that can model non-elastic variable viscosity and viscoplastic fluids have a substantial contribution in the non-Newtonian fluid hammer research papers [13][14][15][16]. Oliveira et al [17] constructed a one-dimensional mathematical model to simulate viscoplastic fluid hammer, and they showed viscoplastic fluids produce smaller overpressure compared with Newtonian fluids.…”
Section: Introductionmentioning
confidence: 99%
“…In recent years, various fast transient flow problems have been dealt with in the literature ranging from incidences encountered in industrial settings [5][6][7] to biologically issues such as the blood hammer [8][9]. The common denominator of all these problems is the existence of a disturbing factor within the system.…”
Section: Introductionmentioning
confidence: 99%