Simulation of Droplet Coalesce Using Lattice Boltzmann Method

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ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (953 download)

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Book Synopsis Simulation of Droplet Coalesce Using Lattice Boltzmann Method by : Mohamad Rizam Zenudin

Download or read book Simulation of Droplet Coalesce Using Lattice Boltzmann Method written by Mohamad Rizam Zenudin and published by . This book was released on 2009 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this project, a single component multiphase (SCMP) LBM is proposed to simulate the phenomenon of droplet coalesce using Lattice Boltzmann method. The basic idea is to see on how two stationary droplet without collision will merge together. Besides, effect of the height on droplet's neck or interface is studied in this thesis. A development on Lattice Boltzmann method is storied from early where it is evolved by Lattice Gas approach and it is continue with the Navier-Stokes equation and collision theory. A derivation of the Lattice Boltzmann scheme from the classical Boltzmann equation is dicussed in detail. According to the problems, a single component multiphase (SCMP) LBM is used or involved in the equation in order to solve more phase of fluids. Before that, investigation on non ideal fluid is discussed using van der Waals fluids where the critical constant of pressure, volume and temperature is solved. By doing this, it will tell the characteristic of the liquid and gas phase. From the Maxwell equal area construction, the value of macroscopic variables, density of fluids is determined which will be code in the algorithm. Algorithm of multiphase LBM involving the initial condition, streaming step, collision step and boundary condition is coded to done the simulation. The progress of droplet coalesce will occur from initial until steady state. The study on droplet coalesce proven where the neck height of droplets will increase as the time step increased. The two droplets will merge together until steady state and become one big droplet.

Simulations of Droplet Interactions with Lattice Boltzmann Methods

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ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (92 download)

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Book Synopsis Simulations of Droplet Interactions with Lattice Boltzmann Methods by : Orest Shardt

Download or read book Simulations of Droplet Interactions with Lattice Boltzmann Methods written by Orest Shardt and published by . This book was released on 2014 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interactions between droplets were studied using two lattice Boltzmann methods (LBMs). The Shan-Chen LBM, in which repulsive forces between fluids maintain phase separation, was used to simulate systems with three immiscible components. The simulations demonstrated the three equilibrium configurations of two droplets in a third fluid: adhering, separated, and engulfed. Simulations of adhering droplet pairs, called Janus droplets due to their two-sided structure, in shear flow revealed the structure of the internal flow and the dependence of the rotation rate on the orientation of the droplet. A second type of interaction between droplets was simulated with the free-energy binary-liquid LBM: binary droplet collisions in confined simple shear flow. The conditions for coalescence were quantified and the effects of geometry and the parameters of this Cahn-Hilliard-type phase field model on the critical conditions were examined. Two parameters of the phase field model, the thickness of the diffuse interface and the mobility of the phase field, are important. Simulations with highly-resolved droplets, with radii spanning 200 lattice nodes, were used to determine the minimum film thickness before coalescence, its relationship to the interface thickness, and the effect of the mobility on the evolution of the minimum distance between the droplet interfaces during collisions. The critical conditions for coalescence in these simulations were compared with published experiments with polymers. Unlike the experimental polymer system, the interfaces of interacting droplets are often charged, as in the case of oil-water emulsions. To simulate such liquid systems, the free-energy binary-liquid LBM was coupled with an iterative finite difference solver for the linearized Poisson-Boltzmann equation that describes the electrostatic potential near a charged surface in an electrolyte solution. Simulations of collisions between charged droplets with constant zeta potentials in a sheared electrolyte showed the effects of surface charge on the critical conditions for coalescence.

Simulation of Droplet Dynamics Using Lattice Boltzmann Method

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ISBN 13 :
Total Pages : 74 pages
Book Rating : 4.:/5 (96 download)

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Book Synopsis Simulation of Droplet Dynamics Using Lattice Boltzmann Method by : Muhammad Noor Afiq Witri Muhammad Yazid

Download or read book Simulation of Droplet Dynamics Using Lattice Boltzmann Method written by Muhammad Noor Afiq Witri Muhammad Yazid and published by . This book was released on 2011 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Accelerated Lattice Boltzmann Model for Colloidal Suspensions

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Publisher : Springer Science & Business Media
ISBN 13 : 1489974024
Total Pages : 161 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Accelerated Lattice Boltzmann Model for Colloidal Suspensions by : Hassan Farhat

Download or read book Accelerated Lattice Boltzmann Model for Colloidal Suspensions written by Hassan Farhat and published by Springer Science & Business Media. This book was released on 2014-04-12 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Colloids are ubiquitous in the food, medical, cosmetics, polymers, water purification, and pharmaceutical industries. The thermal, mechanical, and storage properties of colloids are highly dependent on their interface morphology and their rheological behavior. Numerical methods provide a convenient and reliable tool for the study of colloids. Accelerated Lattice Boltzmann Model for Colloidal Suspensions introduce the main building-blocks for an improved lattice Boltzmann–based numerical tool designed for the study of colloidal rheology and interface morphology. This book also covers the migrating multi-block used to simulate single component, multi-component, multiphase, and single component multiphase flows and their validation by experimental, numerical, and analytical solutions. Among other topics discussed are the hybrid lattice Boltzmann method (LBM) for surfactant-covered droplets; biological suspensions such as blood; used in conjunction with the suppression of coalescence for investigating the rheology of colloids and microvasculature blood flow. The presented LBM model provides a flexible numerical platform consisting of various modules that could be used separately or in combination for the study of a variety of colloids and biological flow deformation problems.

Simulation of Droplet Spreading Using Lattice Boltzmann Method

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ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.:/5 (96 download)

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Book Synopsis Simulation of Droplet Spreading Using Lattice Boltzmann Method by : Fadhullah Danial Musa

Download or read book Simulation of Droplet Spreading Using Lattice Boltzmann Method written by Fadhullah Danial Musa and published by . This book was released on 2009 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Simulation of Structure Effects on Droplet Using Lattice Boltzmann Method

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (866 download)

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Book Synopsis Simulation of Structure Effects on Droplet Using Lattice Boltzmann Method by : 郭峰俊

Download or read book Simulation of Structure Effects on Droplet Using Lattice Boltzmann Method written by 郭峰俊 and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multiphase Lattice Boltzmann Methods

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Publisher : John Wiley & Sons
ISBN 13 : 1118971337
Total Pages : 389 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Multiphase Lattice Boltzmann Methods by : Haibo Huang

Download or read book Multiphase Lattice Boltzmann Methods written by Haibo Huang and published by John Wiley & Sons. This book was released on 2015-08-03 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory and Application of Multiphase Lattice Boltzmann Methods presents a comprehensive review of all popular multiphase Lattice Boltzmann Methods developed thus far and is aimed at researchers and practitioners within relevant Earth Science disciplines as well as Petroleum, Chemical, Mechanical and Geological Engineering. Clearly structured throughout, this book will be an invaluable reference on the current state of all popular multiphase Lattice Boltzmann Methods (LBMs). The advantages and disadvantages of each model are presented in an accessible manner to enable the reader to choose the model most suitable for the problems they are interested in. The book is targeted at graduate students and researchers who plan to investigate multiphase flows using LBMs. Throughout the text most of the popular multiphase LBMs are analyzed both theoretically and through numerical simulation. The authors present many of the mathematical derivations of the models in greater detail than is currently found in the existing literature. The approach to understanding and classifying the various models is principally based on simulation compared against analytical and observational results and discovery of undesirable terms in the derived macroscopic equations and sometimes their correction. A repository of FORTRAN codes for multiphase LBM models is also provided.

The Simulation of Droplet Motion by Using Lattice Boltzmann Method

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ISBN 13 :
Total Pages : 80 pages
Book Rating : 4.:/5 (96 download)

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Book Synopsis The Simulation of Droplet Motion by Using Lattice Boltzmann Method by : Mohd. Rody Mohamad Zin

Download or read book The Simulation of Droplet Motion by Using Lattice Boltzmann Method written by Mohd. Rody Mohamad Zin and published by . This book was released on 2009 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction To The Lattice Boltzmann Method, An: A Numerical Method For Complex Boundary And Moving Boundary Flows

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Publisher : World Scientific
ISBN 13 : 9811240531
Total Pages : 166 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Introduction To The Lattice Boltzmann Method, An: A Numerical Method For Complex Boundary And Moving Boundary Flows by : Takaji Inamuro

Download or read book Introduction To The Lattice Boltzmann Method, An: A Numerical Method For Complex Boundary And Moving Boundary Flows written by Takaji Inamuro and published by World Scientific. This book was released on 2021-11-19 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book introduces the fundamentals and applications of the lattice Boltzmann method (LBM) for incompressible viscous flows. It is written clearly and easy to understand for graduate students and researchers.The book is organized as follows. In Chapter 1, the SRT- and MRT-LBM schemes are derived from the discrete Boltzmann equation for lattice gases and the relation between the LBM and the Navier-Stokes equation is explained by using the asymptotic expansion (not the Chapman-Enskog expansion). Chapter 2 presents the lattice kinetic scheme (LKS) which is an extension method of the LBM and can save memory because of needlessness for storing the velocity distribution functions. In addition, an improved LKS which can stably simulate high Reynolds number flows is presented. In Chapter 3, the LBM combined with the immersed boundary method (IB-LBM) is presented. The IB-LBM is well suitable for moving boundary flows. In Chapter 4, the two-phase LBM is explained from the point of view of the difficulty in computing two-phase flows with large density ratio. Then, a two-phase LBM for large density ratios is presented. In Appendix, sample codes (available for download) are given for users.

Computational Methods in Multiphase Flow IV

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Publisher : WIT Press
ISBN 13 : 1845640799
Total Pages : 417 pages
Book Rating : 4.8/5 (456 download)

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Book Synopsis Computational Methods in Multiphase Flow IV by : A.A. Mammoli

Download or read book Computational Methods in Multiphase Flow IV written by A.A. Mammoli and published by WIT Press. This book was released on 2007-05-11 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid Dynamics is one of the most important topics of applied mathematics and physics. Together with complex flows and turbulence, multiphase flows remains one of the most challenging areas of computational mechanics, and even seemingly simple problems remain unsolved to date. Multiphase flows are found in all areas of technology, at all length scales and flow regimes. The fluids involved can be compressible or incompressible, linear or nonlinear. Because of the complexity of the problem, it is often essential to utilize advanced computational and experimental methods to solve the complex equations that describe them. Challenges in these simulations include nonlinear fluids, treating drop breakup and coalescence, characterizing phase structures, and many others.This volume brings together work presented at the Fourth International Conference on Computational and Experimental Methods in Multiphase and Complex Flows. Featured topics include: Suspensions; Bubble and Drop Dynamics; Flow in Porous Media; Interfaces; Turbulent Flow; Injectors and Nozzles; Particle Image Velocimetry; Macroscale Constitutive Models; Large Eddy Simulation; Finite Volumes; Interface Tracking Methods; Biological Flows; Environmental Multiphase Flow; Phase Changes and Stochastic Modelling.

Simulation of Droplet Resting on Flat and Micro-structured Surface by Lattice Boltzmann Method with Different Interface Capturing Equations

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (895 download)

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Book Synopsis Simulation of Droplet Resting on Flat and Micro-structured Surface by Lattice Boltzmann Method with Different Interface Capturing Equations by : 林儀婷

Download or read book Simulation of Droplet Resting on Flat and Micro-structured Surface by Lattice Boltzmann Method with Different Interface Capturing Equations written by 林儀婷 and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Study of the Hydrodynamics of Droplet Impingement on a Dry Surface Using Lattice Boltzmann Method

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ISBN 13 :
Total Pages : 95 pages
Book Rating : 4.:/5 (643 download)

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Book Synopsis Study of the Hydrodynamics of Droplet Impingement on a Dry Surface Using Lattice Boltzmann Method by : Xin Gu

Download or read book Study of the Hydrodynamics of Droplet Impingement on a Dry Surface Using Lattice Boltzmann Method written by Xin Gu and published by . This book was released on 2009 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work, a two-phase lattice Boltzmann method (LBM) approach is implemented to investigate the hydrodynamic behavior of a single droplet impingement on a dry surface. LBM is a recently developed powerful technique to compute a wide range of fluid flow problems, especially in applications involving interfacial dynamics and complex geometries. Instead of solving the non-linear Navier-Stokes equations, which are complicated partial differential equations, LBM solves a set of discretized linear equations, which are easy to implement and parallelize. The fundamental idea of LBM is to recover the macroscopic properties of the fluid which obeys Navier-Stokes equations, by using simplified kinetic equations that incorporate the essential physics at the microscopic level. Considering the numerical instability induced by large density difference between two phases during the LBM simulations, the particular LBM scheme used in this study has its benefits when dealing with high density ratios. All the simulations are conducted for density ratio up to 50 in a three-dimensional Cartesian coordinate system, and three important dimensionless numbers, namely Weber number, Reynolds number and Ohnesorge number, are used for this study. To validate this multiphase LBM approach, several benchmark tests are conducted. First, the angular frequency of an oscillating droplet is calculated and compared with the corresponding theoretical value. Errors are found to be within 6.1% for all the cases. Secondly, simulations of binary droplet collisions are conducted in the range of 20[less than]We[less than]80. Three different types of outcome, namely coalescence collision, separating collision and stretching collision, are presented. Then, the normal impact of a liquid drop impinging on a smooth dry surface is simulated at various liquid Weber and Reynolds numbers. A novel wall boundary condition is implemented in order to study the effects of wetting characteristic of the impinging surface. Results are shown to compare the spread factor dependence on impact velocity, liquid density, liquid viscosity, surface tension and surface wetting characteristics. The results are validated with experimental data. Two different outcomes are obtained: deposition and splashing break-up. The transition to splashing is found to be dependent on the liquid Weber and Reynolds numbers.

The Lattice Boltzmann Method

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Publisher : Springer
ISBN 13 : 3319446495
Total Pages : 705 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis The Lattice Boltzmann Method by : Timm Krüger

Download or read book The Lattice Boltzmann Method written by Timm Krüger and published by Springer. This book was released on 2016-11-07 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory, practice, and implementation of the Lattice Boltzmann (LB) method, a powerful computational fluid dynamics method that is steadily gaining attention due to its simplicity, scalability, extensibility, and simple handling of complex geometries. The book contains chapters on the method's background, fundamental theory, advanced extensions, and implementation. To aid beginners, the most essential paragraphs in each chapter are highlighted, and the introductory chapters on various LB topics are front-loaded with special "in a nutshell" sections that condense the chapter's most important practical results. Together, these sections can be used to quickly get up and running with the method. Exercises are integrated throughout the text, and frequently asked questions about the method are dealt with in a special section at the beginning. In the book itself and through its web page, readers can find example codes showing how the LB method can be implemented efficiently on a variety of hardware platforms, including multi-core processors, clusters, and graphics processing units. Students and scientists learning and using the LB method will appreciate the wealth of clearly presented and structured information in this volume.

Droplet Flows in Microchannels Using Lattice Boltzmann Method

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ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.:/5 (82 download)

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Book Synopsis Droplet Flows in Microchannels Using Lattice Boltzmann Method by : Amit Gupta

Download or read book Droplet Flows in Microchannels Using Lattice Boltzmann Method written by Amit Gupta and published by . This book was released on 2009 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Microelectromechanical systems (MEMS) have widespread applications in medical, electronical and mechanical devices. These devices are characterized by the smallest dimension which is at least one micrometer and utmost one millimeter. Rapid progress in the manufacture and utilization of these microdevices has been achieved in the last decade. Current manufacturing techniques of such devices and channels include surface silicon micromachining; bulk silicon micromachining; lithography; electrodeposition and plastic molding; and electrodischarge machining (EDM). In recent years, electrostatic, magnetic, electromagnetic and thermal actuators, valves, gears and diaphragms of dimensions of hundred microns or less have been fabricated successfully. Sensors have been manufactured that can detect pressure, temperature, flow rate and chemical composition in such channels. Physical effects such as electrokinetics, pressure gradient and capillarity become prominent for channels where the length scales are of the order of hundreds of micrometers. Also, at such length scales, the application of conventional numerical techniques that use macroscale equations to describe the phenomenon is questionable as the validity of the no-slip boundary condition depends on the ratio of the mean free path of the fluid molecules to the characteristic dimension of the problem (called the Knudsen number). Macroscale equations can only be applied if Knudsen number is of the order of 10−3 or less. In recent years, the lattice Boltzmann method (LBM) has emerged as a powerful tool that has replaced conventional macroscopic techniques like Computational Fluid Dynamics (CFD) in many applications involving complex fluid flow. The LBM starts from meso- and microscopic Boltzmann's kinetic equation and can be used to determine macroscopic fluid dynamics. The origins of LBM can be drawn back to lattice gas cellular automata (LGCA) which lacked Galilean invariance and created statistical noise in the system. LBM on the other hand possesses none of these drawbacks of LGCA, and is easy to implement in complex geometries and can be used to study detailed microscopic flow behavior in complex fluids/fluid mixtures. Nor does it have any of the drawbacks of the Navier-Stokes solvers of implementing the slip boundary condition on the surface of a solid. It has also been found to be computationally fast and an alternative to Navier-Stokes equations. In this study, LBM is used to simulate two-fluid flows such as bubbles rising in a liquid, droplet impingement on a dry surface and creation of emulsions in microchannels. Simulation of disperse flows in a continuous medium using simple boundary condition methods lays the foundation of conducting complex simulations for the formation of droplets past a T-junction microchannel in the framework of this statistical method. Simulations in a T-junction illustrate the effect of the channel geometry, the viscosity of the liquids and the flow rates on the mechanism, volume and frequency of formation of these micron-sized droplets. Based on the interplay of viscous and surface tension forces, different shapes and sizes of droplets were found to form. The range of Capillary numbers simulated lies between 0.001[less than or equal to]Ca[less than or equal to]1.0. Different flow regimes are observed that can be described based on the Capillary number of the flow. A flow regime map that lists where droplet or parallel flow may occur has been created based on the flow rate ratio and Capillary number for a purely laminar flow in the microchannel.

Lattice Boltzmann Modelling of Droplet Dynamics in Confinement

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)

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Book Synopsis Lattice Boltzmann Modelling of Droplet Dynamics in Confinement by : Nikolaos Ioannou

Download or read book Lattice Boltzmann Modelling of Droplet Dynamics in Confinement written by Nikolaos Ioannou and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Droplet behaviour influences significantly the quality of emulsions and the performance of microfluidics applications. Despite the numerous studies on droplet behaviour, the interactions between the suspended droplet and its surrounding walls, especially for non-Newtonian fluids, are not yet fully understood. Here, we investigate the behaviour of isolated droplets subjected to a simple shear in a wide range of capillary numbers, confinement ratios and viscosity relations between the droplet and the carrier fluid. Simulations are performed using the colour-gradient lattice Boltzmann method (LBM), which is also adapted to handle power-law fluids. Findings on the Newtonian droplets in a Newtonian carrier fluid show that droplet deformation and orientation to the flow, i.e. tumbling, are enhanced with increasing confinement. Even more, with a larger viscosity ratio the rate of the deformation increases more significantly while the rate of tumbling becomes smaller. Noteworthy, the largest deformation is presented by droplets of the same viscosity as the matrix fluid. We also find that in a shear-thickening carrier fluid droplet deformation and tumbling are enhanced while they are reduced in a shear-thinning fluid. Additionally, with increasing confinement, the lowest capillary number a droplet breaks increases in the low viscosity ratio cases, contrary to the high viscosity ratio ones. At unity viscosity ratio this critical capillary number is slightly affected while droplets are found to break at a lower capillary number in a power-law carrier fluid. Simulations are performed to examine the behaviour of power-law droplets sheared in a Newtonian carrier fluid. The results are correlated well with the ones of the Newtonian droplets when the droplets obtain ellipsoidal shapes. However, upon slight deviation from the ellipsoidal shape the behaviour of power-law droplets differs substantially from their Newtonian counterparts.

A Theoretical, Numerical, and Experimental Study of Trapped Droplet Coalescence and Mixing, Passively and Under Electric Field

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ISBN 13 :
Total Pages : 106 pages
Book Rating : 4.:/5 (117 download)

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Book Synopsis A Theoretical, Numerical, and Experimental Study of Trapped Droplet Coalescence and Mixing, Passively and Under Electric Field by : Alireza Karbalaei Baba

Download or read book A Theoretical, Numerical, and Experimental Study of Trapped Droplet Coalescence and Mixing, Passively and Under Electric Field written by Alireza Karbalaei Baba and published by . This book was released on 2019 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Passive and electrically active coalescence and mixing of pairs of trapped squeezed nanodroplets were studied in this work. PDMS-glass microfluidic devices were designed and fabricated using multilevel photolithography technique. Flow-focusing method was used to generate nanoliter droplets of died glycerol inside oleic acid. The effect of factors such as flow rates and their ratio, interfacial tension, and viscosities on the size and frequency of droplet generation was studied and concluded by demonstrating the capillary number effect. A passive droplet trapping technique based on minimizing the surface energy of the droplets was employed to minimize the shear flow effects and increase the accuracy of passive coalescence and mixing experiments. The theoretical platform was presented for the analysis of this multiphase problem and a numerical solver was developed based on the lattice Boltzmann method to simulate the passive and electro-coalescence of the droplet pairs. Mixing of nanodroplets was studied by discussing the contributing mixing time scales and passive mixing of glycerol nanodroplets was experimentally realized. The rate of passive mixing percentage was derived by performing image processing and its exponential asymptotical behavior was presented. This study provided physical perspectives for droplet coalescence and mixing and can be extended in several numerical and experimental aspects.

Lattice-Gas Cellular Automata and Lattice Boltzmann Models

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Publisher : Springer
ISBN 13 : 3540465863
Total Pages : 320 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Lattice-Gas Cellular Automata and Lattice Boltzmann Models by : Dieter A. Wolf-Gladrow

Download or read book Lattice-Gas Cellular Automata and Lattice Boltzmann Models written by Dieter A. Wolf-Gladrow and published by Springer. This book was released on 2004-10-19 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice-gas cellular automata (LGCA) and lattice Boltzmann models (LBM) are relatively new and promising methods for the numerical solution of nonlinear partial differential equations. The book provides an introduction for graduate students and researchers. Working knowledge of calculus is required and experience in PDEs and fluid dynamics is recommended. Some peculiarities of cellular automata are outlined in Chapter 2. The properties of various LGCA and special coding techniques are discussed in Chapter 3. Concepts from statistical mechanics (Chapter 4) provide the necessary theoretical background for LGCA and LBM. The properties of lattice Boltzmann models and a method for their construction are presented in Chapter 5.