Non newtonian unconfined flow and heat transfer over a heated cylinder using the directforcing immersed boundarythermal lattice boltzmann method a. There are plenty of analysis tools developed commercially for newtonian computational fluid dynamics, however very few numerical tools are available for non newtonian fluid flow systems. Read pressuredriven and electroosmotic nonnewtonian flows through microporous media via lattice boltzmann method, journal of non newtonian fluid mechanics on deepdyve, the largest online rental service for scholarly research with thousands of academic publications available at. We present a lb study of the flow of singlephase nonnewtonian fluids, using a power law relationship between the effective viscosity and the local shear rate. Simulation of nonnewtonian fluid mixing using the lattice boltzmann model james m. We study an ad hoc extension of the lattice boltzmann method that allows the simulation of nonnewtonian fluids described by generalized. From the numerical perspective, the lattice boltzmann equation lbe can be regarded as a special discretization of the boltzmann equation, and its stability is a fundamental issue. Nevertheless, materials which are being casted into the mold usually behave as non newtonian. How to simulate a nonnewtonian fluid with lattice boltzmann. Therefore, the lattice boltzmann method is of potential to simulate nonnewtonian. Pdf lattice boltzmann method for fluid simulations.
An improved multirelaxation time lattice boltzmann method. A lattice boltzmann method based numerical scheme for. Pdf latticeboltzmann method for nonnewtonian fluid. For the powerlaw model, only two constant parameters can cover shearthinning and shearthickening fluids. A lattice boltzmann method for simulating viscoelastic. Therefore, the lattice boltzmann method is of potential to simulate non newtonian.
The present paper aims to study of nonnewtonian fluid flow behaviors in a twodimensional bifurcated channel using latticeboltzmann. Simulation of nonnewtonian fluid mixing using the lattice. Lattice boltzmann method for non newtonian and freesurface flow towards applications in wellbore cementing by matthewgrasinger bsincivilengineering,universityofpittsburgh,pittsburgh,pa. The non newtonian part was modeled with a special forcing term. In particular, we are interested in a widely used model.
The lattice boltzmann method lbm of a non newtonian blood fluid is used. We extensively test the accuracy of the method for the case of shearthinning and. Accuracy of nonnewtonian lattice boltzmann simulations. It is also observed that constriction or expansion in a pipe influences the velocity distribution of the flow significantly. This is used to enable the accuracy of the model to be assessed and is not a limitation of the model. An extrapolation method for wall and stent boundary conditions is used to resolve the characteristics of a highly complex flow.
The non newtonian effect will result in a poor stability and accuracy when using standard lbm in the numerical simulation of yielding fluids. In our casereport we observed a considerable increase in serum enzymes, especially got, gpt and gldh after a drugchallenge with two tablets. It is found that the obtained numerical results agree well with available analytical solutions. The power law model is used to represent the class of non newtonian fluids shearthinning and shearthickening fluids by considering a range of 0. To improve the situation, a modified multirelaxationtime lattice boltzmann method was proposed. In some perspective, it can be viewed as a finite difference method for solving the boltzmann transport equation. Moreover, the fluid viscosity is accounted for as an additional term in the equilibrium particle distribution function, which offers the ability to simulate both newtonian and non newtonian fluids.
Lattice boltzmann simulation of droplet formation in non. Lattice boltzmann simulation of nonnewtonian flow past. The first step to getting started in research is to find a faculty mentor. Ppt latticeboltzmann method for nonnewtonian and non. Jhon the simulation and modeling of non newtonian and viscoelastic fluids are of high interest in both. In section 2, the numerical models for pressuredriven and. Boltzmann models of fluid dynamics, which simulate newtonian fluids by simple interactions on the particle level. Pdf lattice boltzmann method for nonnewtonian power. A secondorder lattice boltzmann algorithm is used for powerlaw non newtonian flow simulation. The lattice boltzmann method has been presented in many investigations as an alternative to address problems concerning computational fluid dynamics, which has proven to be an effective tool in the past two decades. We study an ad hoc extension of the latticeboltzmann method that allows the simulation of nonnewtonian fluids described by. Lattice boltzmann simulation of the flow of nonnewtonian. The lattice boltzmann method lbm has emerged as a promising numerical tool for simulating complex fluid flows and energy transport 1.
Porescale simulation of shear thinning fluid flow using. In the present study, the lattice boltzmann method lbm is applied to simulate the flow of non newtonian shearthinning fluids in threedimensional digitally reconstructed porous domains. Summary in this paper, we present a simplified lattice boltzmann method for non. A directforcing immersed boundary non newtonian lattice boltzmann method ibnlbm with splitforcing scheme has been used to investigate the problem of particle sedimentation in shearthinning and shearthickening fluids. A lattice boltzmann model for non newtonian fluids was first introduced by aharonov and rothman 32 which was based on the powerlaw model and designed for two dimensional and steady flows. The model is based on the recently introduced lattice. The essence of the present method lies in the determination of sheardependent viscosity of the. Obtaining that the behavior found corresponds to a non newtonian fluid that was adjusted to that of the power law.
Construction of a nonnewtonian fluid model based on the finite. Doolen, year1998 we present an overview of the lattice boltzmann method lbm, a parallel and efficient algorithm for simulating. A numerical method for incompressible non newtonian. Thus this work focuses on numerical simulations of non newtonian. On a tworelaxationtime d2q9 lattice boltzmann model for. The lattice boltzmann method is modified to allow the simulation of non newtonian sheardependent viscosity models. A secondorder accurate lattice boltzmann model is presented for non newtonian flow. Analysis of the casson and carreauyasuda nonnewtonian. A lattice boltzmann model for nonnewtonian fluids was first introduced by aharonov and rothman 32 which was based on the powerlaw model and designed for two dimensional and steady flows. Simulation of flamboyant gums power fluid with the. Lattice boltzmann simulation of non newtonian flows past confined cylinders amir nejat, vahid abdollahi and koohyar vahidkhah 1 jul 2011 journal of non newtonian fluid mechanics, vol. To have a lbe model for linear viscoelastic fluids nonnewtonian, you can look at the paper by p. Lattice boltzmann method for nonnewtonian powerlaw fluids. I have already written a d2q9 lattice boltzmann code which uses immersed boundary method for complex geometries.
Lattice boltzmann simulation of droplet formation in nonnewtonian fluids volume 17 issue 4 y. A directforcing immersed boundary nonnewtonian lattice boltzmann method ibnlbm with splitforcing scheme has been used to investigate the problem of particle sedimentation in shearthinning and shearthickening fluids. Latticeboltzmann method for nonnewtonian fluid flows. We report some numerical simulations of multiphase viscoelastic fluids based on an algorithm that employs a diffusiveinterface lattice boltzmann method together with a lattice advectiondiffusion scheme, the former used to model the macroscopic hydrodynamic equations for multiphase fluids and the latter to describe the polymer dynamics modeled by the oldroydb constitutive model. While idealizing the porous media microstructure as arrays of circular and square cylinders, the present study uses multirelaxation time lattice boltzmann method to conduct pore. Lattice boltzmann studies of turbulence in nonnewtonian. This work deals with the accuracy of non newtonian lattice boltzmann simulations. In this thesis lattice boltzmann method lbm was used to simulate laminar and turbulent channel flows with the goal of understanding the physics of polymer drag reduction. To ease the code development, a scientific programming strategy based on objectoriented concepts is developed. Non newtonian models with shearthinning viscosity are commonly used to solve a variety of complex. Lattice boltzmann simulation of nonnewtonian powerlaw fluid. A twodimensional ninevelocity lattice model is developed for the numerical simulation. A secondorder accurate lattice boltzmann nonnewtonian. The objective of this work is to develop a lattice boltzmann model for non newtonian porous.
A new numerical method for incompressible nonnewtonian. Simulation of nonnewtonian blood flow by lattice boltzman. Lbm is based on microscopic models and mesoscopic kinetic equations. This paper proposes a study of the computational efficiency of a lattice boltzmann model lbm solver to simulate the behavior of a generalized newtonian fluid. In this paper, we present a simplified lattice boltzmann method for non. Lattice boltzmann method lbm is used to simulate the lid driven cavity flow to explore the mechanism of non newtonian fluid flow. A model of the lattice boltzmann method for nonnewtonian fluids was constructed. Lattice boltzmann simulation of the flow of non newtonian fluids in porous media.
In the last two decades, the lattice boltzmann method lbm has emerged as a promising tool for modelling the navierstokes equations and simulating complex fluid flows. A numerical method for incompressible nonnewtonian. As an acute icteric viral hepatitis, type non a non bhepatitis possibly misdiagnosed only a carefully compiled history of the recent intake of drugs points at the real cause of hepatitis. The non newtonian nature of the flow is implemented using a power law model. We study an ad hoc extension of the lattice boltzmann method that allows the simulation of non newtonian fluids described by generalized newtonian models. The lattice boltzmann method lbm 23 is becoming increasingly popular. The present work attempts to identify the roles of flow and geometric variables on the scaling factor which is a necessary parameter for modeling the apparent viscosity of non newtonian fluid in porous media. Lattice boltzmann method for nonnewtonian and non equilibrium flows alexander vikhansky department of engineering, queen mary, university of london a free powerpoint ppt presentation displayed as a flash slide show on id. Nonnewtonian models with shearthinning viscosity are commonly used to solve a variety of complex. The non newtonian behavior is embedded in the lbm through a dynamical change of the local relaxation time. The lattice boltzmann method has been studied and successively applied to modeling various.
Tang skip to main content accessibility help we use cookies to distinguish you from other users and to provide you with a better experience on our websites. Endob adepartment of mechanical systems engineering, shinshu university 4171 wakasato, nagano 3808553, japan. Buick university of new england physics and engineering armidale nsw australia joshua boyd university of new england physics and engineering armidale nsw australia abstract. A lattice boltzmann study of the nonnewtonian blood flow. Casson and carreauyasuda nonnewtonian blood viscosity models are implemented and are used to compare twodimensional newtonian and non newtonian flows in the context of simple steady flow and oscillatory flow in straight and curved pipe geometries. Which is the best model of the lbm to apply for nonnewtonian fluid.
We study an ad hoc extension of the latticeboltzmann method that allows the simulation of non newtonian. The flow past a series of tandem arrangement of two cylinders is computed in a confined domain. Numerical and experimental study of nonnewtonian free. An immersed boundary lattice boltzmann approach for microscopic blood flows junfeng zhang, paul c johnson and aleksander s popelrecent citations a multiplerelaxationtime lattice boltzmann method for highspeed compressible flows li kai and zhong chengwen non newtonian effect on hemodynamic characteristics of blood flow in stented cerebral. An improved multirelaxation time lattice boltzmann method for the non newtonian in. Traditional solvers are known to have troubles in tackling this problem, and nowadays alternative solution are sought by the community.
The present method preserves the most desirable features of the lattice boltzmann and the immersed boundary methods. The relaxation time is related to the local shear rate in such a way that the power law rheology is. Finally, we extend the axisymmetric lattice boltzmann method for non newtonian flow. Pressuredriven and electroosmotic nonnewtonian flows. Evaluating the capabilities of the lattice boltzmann. The shear stress of purely viscous but nonelastic nonnewtonian fluid is a function of shear rate only. Moreover, the non newtonian nature of the material, and in some cases its multiple phases, pose more challenges. We extensively test the accuracy of the method for the case of shearthinning and shearthickening truncated powerlaw fluids in the parallel plate geometry, and show that the. We extensively test the accuracy of the method for the case of shearthinning and shearthickening truncated powerlaw. The shear dependent behavior of the fluid is implemented through calculating the shear locally from the lattice distribution functions. Unstructured lattice boltzmann method for nonnewtonian. Construction of a nonnewtonian fluid model based on the.
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