Mixing and orientation behaviors of cylindrical particles in a mixing layer of an Oldroyd-B fluid

Lin, Jianzhong; Wang, Yelong; Zhang, Peijie; Ku, Xiaoke

doi:10.1016/j.ces.2017.10.047

Cited by 7 publications

(5 citation statements)

References 27 publications

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“…More investigations concerning Oldroyd-B fluid can be seen in Refs. (Shehzad et al, 2014;Hayat et al, 2015;Khan and Mahmood, 2016;Lin et al, 2018a). It should be noted that in their studies, the convected derivative was applied to investigate the flow and heat transfer of Oldroyd-B fluid.…”

Section: Introductionmentioning

confidence: 99%

Stagnation-point flow and heat transfer of upper-convected Oldroyd-B MHD nanofluid with Cattaneo–Christov double-diffusion model

Bai

Xie

Zhang

et al. 2019

HFF

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Purpose The purpose of this paper is to investigate the two-dimensional stagnation-point flow, heat and mass transfer of an incompressible upper-convected Oldroyd-B MHD nanofluid over a stretching surface with convective heat transfer boundary condition in the presence of thermal radiation, Brownian motion, thermophoresis and chemical reaction. The process of heat and mass transfer based on Cattaneo–Christov double-diffusion model is studied, which can characterize the features of thermal and concentration relaxations factors. Design/methodology/approach The governing equations are developed and similarly transformed into a set of ordinary differential equations, which are solved by a newly approximate analytical method combining the double-parameter transformation expansion method with the base function method (DPTEM-BF). Findings An interesting phenomenon can be found that all the velocity profiles first enhance up to a maximal value and then gradually drop to the value of the stagnation parameter, which indicates the viscoelastic memory characteristic of Oldroyd-B fluid. Moreover, it is revealed that the thickness of the thermal and mass boundary layer is increasing with larger values of thermal and concentration relaxation parameters, which indicates that Cattaneo–Christov double-diffusion model restricts the heat and mass transfer comparing with classical Fourier’s law and Fick’s law. Originality/value This paper focuses on stagnation-point flow, heat and mass transfer combining the constitutive relation of upper-convected Oldroyd-B fluid and Cattaneo–Christov double diffusion model.

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Section: Introductionmentioning

confidence: 99%

Stagnation-point flow and heat transfer of upper-convected Oldroyd-B MHD nanofluid with Cattaneo–Christov double-diffusion model

Bai

Xie

Zhang

et al. 2019

HFF

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“…Particle aspect ratio had a weaker effect on the particle distribution than Deborah number, Stokes number and contraction ratio. Lin et al [22] explored the effect of various factors on the orientation distributions of rod-like particlesin a mixing layer of an Oldroyd-B fluid in the range of Stokes number (St) from 0.005 to 1.0, Weissenberg number (Wi) from 5 to 15, particle aspect ratio (α) from 5 to 25, and indicated that the particles with a small St were distributed homogenously. More particles aligned on the flow-gradient plane with the increase of Wi, and the decrease of St and α. Wi had a stronger effect on the orientation distribution than St and α. Stover and Cohen [23] studied the motion of suspended rodlike particles in the flow between two flat plates of at low Reynolds numbers, and obtained the data for rodlike particles with aspect ratios of 12.0 suspended in a Newtonian fluid; and for rodlike particles with aspect ratios between 5 and 8 in a non-Newtonian fluid.…”

Section: Introductionmentioning

confidence: 99%

Numerical Study on the Distribution of Rodlike Particles in Laminar Flows of Power Law Fluids Past a Cylinder

Lin

Zhang

et al. 2023

Polymers

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The contraction/expansion laminar flow containing rodlike particles in power-law fluid is studied numerically when the particles are in a dilute phase. The fluid velocity vector and streamline of flow are given at the finite Reynolds number (Re) region. The effects of Re, power index n and particle aspect ratio β on the spatial and orientation distributions of particles are analyzed. The results showed that for the shear-thickening fluid, particles are dispersed in the whole area in the contraction flow, while more particles are gathered near the two walls in the expansion flow. The spatial distribution of particles with small β is more regular. Β has a significant, n has a moderate, but Re has a small impact on the spatial distribution of particles in the contraction and expansion flow. In the case of large Re, most particles are oriented in the flow direction. The particles near the wall show obvious orientation along the flow direction. In shear-thickening fluid, when the flow changes from contraction to expansion, the orientation distribution of particles becomes more dispersed; while in shear-thinning fluid, the opposite is true. More particles orient to the flow direction in expansion flow than that in contraction flow. The particles with a large β tend to align with the flow direction more obviously. Re, n and β have great influence on the orientation distribution of particles in the contraction and expansion flow. Whether the particles initially located at the inlet can bypass the cylinder depends on the transverse position and initial orientation of the particles at the inlet. The number of particles with θ0 = 90° bypassing the cylinder is the largest, followed by θ0 = 45° and θ0 = 0°. The conclusions obtained in this paper have reference value for practical engineering applications.

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“…Particle migration is a vital issue in suspensions for a wide range of engineering applications such as transport of sediments (Merkak et al, 2009), oil recovery (Sharma et al, 1987), heat transfer (Molerus et al, 1995;Bahiraei et al, 2015), composite materials (Yuan et al, 2015), coating process (Ritz et al, 2000), sequestration process (Xie et al, 2017), separation or mixing process (Ahn et al, 2015: Lin et al, 2018. With the fast growth of microfluidic devices in recent years, significant research has been conducted to study the migration effects of particles suspended in a flowing liquid that are strongly enhanced in a highly confined system (Ahn et al, 2015;D'Avino et al, 2017).…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of particle focusing dynamics of DNA-laden fluids in a microtube

Shi

Wang

You

et al. 2019

Chemical Engineering Science

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A CFD model considering inertial, elastic and drag forces was developed to simulate the focusing effect of microparticles in a dilute DNA solution passing through a microtube. The Oldroyd-B fluid model coupled with the Lagrangian model was employed to describe the flow behavior of DNA solution and particle trajectory. The model was validated by comparing the patterns of particle beam and its width with experimental results. Particle focusing dynamics was investigated by analyzing the focusing behaviors, flow and particle velocity, and force distributions throughout the whole tube. The results indicated that particles far away from the centerline migrate faster than those near the centerline. Investigations on the effect of DNA concentration, particle diameter and flow rate showed that increasing DNA concentration and particle diameter benefited the focusing efficiency while larger flow rate worsened the particle focusing. This computational model could serve as an effective tool to investigate the particle focusing dynamics.

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Mixing and orientation behaviors of cylindrical particles in a mixing layer of an Oldroyd-B fluid

Cited by 7 publications

References 27 publications

Stagnation-point flow and heat transfer of upper-convected Oldroyd-B MHD nanofluid with Cattaneo–Christov double-diffusion model

Stagnation-point flow and heat transfer of upper-convected Oldroyd-B MHD nanofluid with Cattaneo–Christov double-diffusion model

Numerical Study on the Distribution of Rodlike Particles in Laminar Flows of Power Law Fluids Past a Cylinder

Numerical simulation of particle focusing dynamics of DNA-laden fluids in a microtube

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