Steady Herschel–Bulkley fluid flow in three-dimensional expansions

Alexandrou, Andreas N.; McGilvreay, Timothy M; Burgos, Gilmer R.

doi:10.1016/s0377-0257(01)00127-6

Cited by 115 publications

(75 citation statements)

References 25 publications

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“…Since the shear-thinning and shear-thickening fluids play an important role in biomedical engineering, Málek and his co-workers studied thoroughly several issues related to these fluids (for rigorous mathematical issues see Málek et al [16]; for global existence results see Málek et al [17] and for regularity and stability results see Málek et al [18]). Some examples of fluids behaving in this manner include food products, pharmaceutical products, slurries, polymeric solutions, and semisolid materials (for details see Alexandrou et al [19]). …”

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confidence: 99%

Untitled

2006

Quart. Appl. Math.

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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 τ 0 → 0 and when the index n = 1, our results agree with those of Brasseur et al. (J. Fluid Mech. 174 (1987), 495) for peristaltic transport of the Newtonian fluid. It is observed that for a given flux Q the pressure rise ∆p increases with an increase in the amplitude ratio φ. Furthermore, the results obtained for the flow characteristics reveal many interesting behaviors that warrant further study of the peristaltic transport models with two immiscible physiological fluids.

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confidence: 99%

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2006

Quart. Appl. Math.

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“…Uma vez excedida a tensão limite de escoamento, o material comporta-se como um líquido e escoa com uma relação não-linear entre tensão e deformação. Em geral, tal comportamento característico é uma consequência da microestrutura interna do fluido e de sua deformação durante o escoamento (5 …”

Section: Organização Do Trabalhounclassified

“…Para homogeneizar a solução, deve-se manter agitação por 30 minutos. (3)(4)(5) sendo T m = 0.1%. A concentração de solução aquosa com 18% m/m de NaOH é determinada com base na razão de neutralização conforme…”

Section: Preparação De Fluidosunclassified

“…O módulo de armazenamento também é conhecido como módulo elástico e o módulo de dissipação também é denominado módulo viscoso ou de perda. Tais módulos são definidos como (3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16) sendo ω a freqüência, τ a a amplitude de tensão e γ a = {γ(t)/ sin(ωt) a amplitude de deformação, τ (t) = τ a sin(ωt + δ) = τ a sin(ωt) + τ a cos(ωt) a tensão senoidal aplicada, A principal função deste teste é delimitar a região viscoelástica linear, ou seja, a região em baixas amplitudes caracterizada pela dependência linear entre a tensão e a deformação. Esse teste permite correlacionar a microestrutura com a resposta linear mecânica (30).…”

Section: Teste De Varredura Da Amplitude De Tensãounclassified

“…Este determina a correspondência entre as dimensões reais do plano do escoamento ∆y e as dimensões em pixels na imagem. Logo, Cal = ∆y px (3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17) sendo ∆y = D. Para cada teste realizado, utiliza-se as marcações ao longo do eixo vertical do tubo como fator de calibração. A Figura 3.11 ilustra um exemplo desta correlação.…”

Section: 1 Calibração Das Imagensunclassified

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Posicionamento De Tampões Em Poços De Petróleo: Uma Investigação De Escoamentos De Inversão Por Gravidade

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Construction of lattice‐Boltzmann schemes for non‐Newtonian and two‐phase flows

Vikhansky

2012

Can J Chem Eng

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In the present study we consider a general algebraically tractable approach to the construction of lattice-Boltzmann (LB) schemes for the simulation of non-Newtonian and two-phase flows. The chain of moment equations is truncated at a level corresponding to the rheology of the liquid, and is closed by a Chapman-Enskog procedure. The collision term of the LB method is linked to the second moment of the velocity distribution via the constitutive equation of the liquid. The resulting nonlinear algebraic equation can be efficiently solved for an arbitrary rheological law. The algorithm can be extended to a two-phase system.

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Steady Herschel–Bulkley fluid flow in three-dimensional expansions

Cited by 115 publications

References 25 publications

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Posicionamento De Tampões Em Poços De Petróleo: Uma Investigação De Escoamentos De Inversão Por Gravidade

Construction of lattice‐Boltzmann schemes for non‐Newtonian and two‐phase flows

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