Deformation of a Capsule in a Power-Law Shear Flow

Tian, Fang-Bao

doi:10.1155/2016/7981386

Cited by 23 publications

(25 citation statements)

References 52 publications

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“…The deformation of single capsules have been shown to be different in non-Newtonian [64] or viscoelastic [8] liquids. We thus compare the deformation of solid neo-Hookean particles suspended in viscoelastic shear flows with previous studies by Villone et.…”

Section: Solid Deformable Particle Deformation In Viscoelastic Shear mentioning

confidence: 99%

Immersed-finite-element method for deformable particle suspensions in viscous and viscoelastic media

et al. 2018

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Deformable elastic bodies in viscous and viscoelastic media constitute a large portion of synthetic and biological complex fluids. We present a parallelized 3D-simulation methodology which fully resolves the momentum balance in the solid and fluid domains. An immersed boundary algorithm is exploited known as the immersed finite element method (IFEM) which accurately determines the internal forces in the solid domain. The scheme utilized has the advantages of requiring no costly re-meshing, handling finite Reynolds number, as well as incorporating non-linear viscoelasticity in the fluid domain. Our algorithm is designed for computationally efficient simulation of a multiparticle suspensions with mixed structure types. The internal force calculation in the solid domain in the IFEM is coupled with a finite volume based incompressible fluid solver, both of which are massively parallelized for distributed memory architectures. We performed extensive case studies to ensure the fidelity of our algorithm. Namely, a series of single particle simulations for capsules, red blood cells, and elastic solid deformable particles were conducted in viscous and viscoelastic media. All of our results are in excellent quantitative agreement with the corresponding reported data in the literature which are based on different simulation platforms. Furthermore, we assess the accuracy of multi-particle simulation of blood suspensions (red blood cells in plasma) with and without platelets. Finally, we present the results of a novel simulation of multiple solid deformable objects in a viscoelastic medium.

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Section: Solid Deformable Particle Deformation In Viscoelastic Shear mentioning

confidence: 99%

Immersed-finite-element method for deformable particle suspensions in viscous and viscoelastic media

et al. 2018

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“…After the proposal of the Bhatnagar-Gross-Krook (BGK) collision operator, the efficiency and flexibility of the LBM have been enhanced significantly. Consequently, the BGK-based LBM has been successfully applied to various fluid dynamics problems, such as multiphase flow [4][5][6][7], complex flow in porous media [8], and non-Newtonian flow [9,10]. To address the numerical instability in single-relaxation-time LBM due to low viscosity, entropic [11,12], two-relaxation-time (TRT), and multi-relaxation-time (MRT) LBM methods have been developed [4].…”

Section: Introductionmentioning

confidence: 99%

Heat Transfer in Non-Newtonian Flows by a Hybrid Immersed Boundary–Lattice Boltzmann and Finite Difference Method

Wang

Tian

2018

Applied Sciences

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Abstract:A hybrid immersed boundary-lattice Boltzmann and finite difference method for fluid-structure interaction and heat transfer in non-Newtonian flow is presented. The present numerical method includes four parts: fluid solver, heat transfer solver, structural solver, and immersed boundary method for fluid-structure interaction and heat transfer. Specifically, the multi-relaxation time lattice Boltzmann method is adopted for the dynamics of non-Newtonian flow, with a geometry-adaptive technique to enhance the computational efficiency and immersed boundary method to achieve no-slip boundary conditions. The heat transfer equation is spatially discretized by a second-order up-wind scheme for the convection term, a central difference scheme for the diffusion term, and a second-order difference scheme for the temporal term. The structural dynamics is numerically solved using a finite difference method. The major contribution of this work is the integration of spatial adaptivity, thermal finite difference method, and fluid flow immersed boundary-lattice Boltzmann method. Several benchmark problems including the developing flow of non-Newtonian fluid in a channel, non-Newtonian fluid flow and heat transfer around a stationary cylinder and flow around a stationary cylinder with a detached filament are used to validate the present method and developed solver. The good agreements achieved by the present method with the published data show that the present extension is an efficient way for fluid-structure interaction and heat transfer involving non-Newtonian fluid. The heat transfer around an oscillating cylinder in non-Newtonian fluid flow at Reynolds number of 100 is also numerically studied using the present solver, considering the effects of the oscillating frequency and amplitude. The results may be used to expand the currently limited database of fluid-structure interaction and heat transfer benchmark studies.

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“…The flow of RBCs through a blood vessel represents a typical fluid-structure interaction (FSI) problem, involving a complex interplay of fluid dynamics, elastic body, and a moving boundary [ 9 ]. A variety of accurate and efficient numerical methods have been proposed for the solution of a FSI problem involving a complex geometry, such as the arbitrary Lagrangian–Eulerian method [ 10 ], immersed interface method [ 11 ], immersed finite element method [ 12 ], immersed boundary method [ 13 ], and immersed boundary-lattice Boltzmann method (IB-LBM) [ 14 – 18 ].…”

Section: Introductionmentioning

confidence: 99%

“…Previous studies on the IB-LBM emphasized its potential advantages for the solution of FSI problems, namely, its simplicity, parallelizability, intrinsic kinetic and explicit calculations, and essential relative simplicity for handing complex, moving, and deformable geometries [ 14 – 18 ]. In recent years, the numerical investigation of the motion and deformation of RBCs in capillaries and arteries has received considerable attention [ 15 , 16 ].…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulations of the Motion and Deformation of Three RBCs during Poiseuille Flow through a Constricted Vessel Using IB-LBM

Wang

Wei

et al. 2018

Computational and Mathematical Methods in Medicine

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The immersed boundary-lattice Boltzmann method (IB-LBM) was used to examine the motion and deformation of three elastic red blood cells (RBCs) during Poiseuille flow through constricted microchannels. The objective was to determine the effects of the degree of constriction and the Reynolds (Re) number of the flow on the physical characteristics of the RBCs. It was found that, with decreasing constriction ratio, the RBCs experienced greater forced deformation as they squeezed through the constriction area compared to at other parts of the microchannel. It was also observed that a longer time was required for the RBCs to squeeze through a narrower constriction. The RBCs subsequently regained a stable shape and gradually migrated toward the centerline of the flow beyond the constriction area. However, a sick RBC was observed to be incapable of passing through a constricted vessel with a constriction ratio ≤1/3 for Re numbers below 0.40.

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Deformation of a Capsule in a Power-Law Shear Flow

Cited by 23 publications

References 52 publications

Immersed-finite-element method for deformable particle suspensions in viscous and viscoelastic media

Immersed-finite-element method for deformable particle suspensions in viscous and viscoelastic media

Heat Transfer in Non-Newtonian Flows by a Hybrid Immersed Boundary–Lattice Boltzmann and Finite Difference Method

Numerical Simulations of the Motion and Deformation of Three RBCs during Poiseuille Flow through a Constricted Vessel Using IB-LBM

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