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Numerical Methods For The Study Of Deformable Bodies In Viscous And Viscoelastic Flows
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Book Synopsis Numerical Methods for the Study of Deformable Bodies in Viscous and Viscoelastic Flows by : Christopher John Guido
Download or read book Numerical Methods for the Study of Deformable Bodies in Viscous and Viscoelastic Flows written by Christopher John Guido and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Suspended soft particles in viscoelastic fluids are ubiquitous in biological applications and are being utilized with increasing frequency in microfluidic platforms. Biological fluids are often laden with cells or swimming microorganisms which are highly deformable, while the suspending fluid usually includes polymeric macromolecules that impart elasticity to the fluid. These highly elastic fluids can be found in the human body in mucus linings, in direct-write additive manufacturing applications, and even in injectable therapeutics. In this work we present the development of a high-fidelity simulation tool with general constitutive model implementations for both the viscoelastic fluid and deformable solid to understand the physics behind these complex systems. We discuss a modified version of the IFEM (Immersed Finite Element Method) that allows for the simulation of deformable particles in viscoelastic flows which minimizes the need for costly re-meshing operations and scales well in particle number. This simulation tool is validated for a number of simple Newtonian and viscoelastic cases to ensure the fidelity of the presented algorithm. Lastly, we consider a series of specific applications that demonstrate the breadth and scalability of the simulation platform. Specifically, we consider the slowdown of swimming microorganisms in viscoelastic fluids, the rheology of soft particles in viscoelastic shear flows, and the dynamics of red blood cells in small arteriole flow and AFM indentation. We emphasize the study of swimming behavior of undulatory and amoeboid swimmers in viscoelastic fluids. The undulating swimmer C. elegans is an excellent case study since it is both experimentally well-studied and the microorganism's motion resembles the behavior of many other biological structures, like cilia or flagella. Additionally, there is a well-known speed decrease as the Deborah number increases that has been experimentally observed but, to date, has not been studied numerically with a fully resolved three-dimensional simulation. In this work, we discuss the use of the IFEM with an added conformation-driven force or extra surface traction that allows the swimmer to evolve through an arbitrary set of specified shapes. We compare numerical results for C. elegans against experimental speed data provided by Shen and Arratia (2011) and the speed reduction as a function of Deborah number is presented with good agreement for Oldroyd-B fluids. A similar set of results is considered for the amoeboid swimmer which has never been numerically studied in viscoelastic fluids. The simulation tool is then further utilized to explore the underlying physical mechanism that drives swimming speed reduction in viscoelastic fluids, including comparison to other more simplified simulations/theories. The role of polymer stretch boundary layers near the surface of these swimmers is noteworthy, which demonstrates the need for fully resolved simulations which take into account the finite size of the microorganism. Additionally, we highlight the study of rheology of soft particles in viscoelastic flows. While studies to date have investigated the dynamics of soft solids and membranes in pressure driven flow as well as the shapes and dynamics of soft particles in simple shear flows, little work has been completed to examine the effective rheology of suspensions of these particles. In this work, we discuss the application of the IFEM to the motion of deformable Neo-Hookean solid particles in simple viscoelastic shear flows. We then discuss the interplay of fluid elasticity and particle elasticity and how this effects the key viscometric functions for shear flows. We break the viscometric measurables into contributing parts from the fluid (particle induced fluid stress) and the particle (stresslet) that show interesting trends and underlying physical principles. We find that all components of the particle induced fluid stress are nearly invariant to the deformation (within the parameter range studied), while the shear stress component of the stresslet rapidly decreases in magnitude as elasticity in the fluid increases. These rheological measures have widespread impact for the design of microfluidic devices and we believe that further investigation of these findings will aid in the design of engineered fluids. The simulation tool also has the capability of allowing the simulation of denser suspensions of particles and more complex geometries opening many new possibilities for future studies of soft matter in viscoelastic fluids.
Book Synopsis Mathematical Analysis of Viscoelastic Flows by : Michael Renardy
Download or read book Mathematical Analysis of Viscoelastic Flows written by Michael Renardy and published by SIAM. This book was released on 2000-01-01 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is based on a series of lectures presented at the 1999 NSF-CBMS Regional Research Conference on Mathematical Analysis of Viscoelastic Flows. It begins with an introduction to phenomena observed in viscoelastic flows, the formulation of mathematical equations to model such flows, and the behavior of various models in simple flows. It also discusses the asymptotics of the high Weissenberg limit, the analysis of flow instabilities, the equations of viscoelastic flows, jets and filaments and their breakup, as well as several other topics.
Book Synopsis Numerical Simulation of Incompressible Viscous Flow by : Roland Glowinski
Download or read book Numerical Simulation of Incompressible Viscous Flow written by Roland Glowinski and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-09-20 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid. Efficient and robust numerical methods for solving those resulting simpler sub-problems are introduced and discussed. Interesting computational results are presented to show the capability of methodologies addressed in the book.
Book Synopsis Introduction to the Numerical Analysis of Incompressible Viscous Flows by : William Layton
Download or read book Introduction to the Numerical Analysis of Incompressible Viscous Flows written by William Layton and published by SIAM. This book was released on 2008-01-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. This book provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester. Audience: this unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations.
Book Synopsis Introduction to the Numerical Analysis of Incompressible Viscous Flows by : William J. Layton
Download or read book Introduction to the Numerical Analysis of Incompressible Viscous Flows written by William J. Layton and published by . This book was released on 2008 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. This book provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester. Audience: this unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations.
Book Synopsis Numerical Methods for Flows by : Harald van Brummelen
Download or read book Numerical Methods for Flows written by Harald van Brummelen and published by Springer Nature. This book was released on 2020-02-22 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes selected contributions on applied mathematics, numerical analysis, numerical simulation and scientific computing related to fluid mechanics problems, presented at the FEF-“Finite Element for Flows” conference, held in Rome in spring 2017. Written by leading international experts and covering state-of-the-art topics in numerical simulation for flows, it provides fascinating insights into and perspectives on current and future methodological and numerical developments in computational science. As such, the book is a valuable resource for researchers, as well as Masters and Ph.D students.
Book Synopsis Numerical Methods in Fluid Mechanics by : Alain Vincent
Download or read book Numerical Methods in Fluid Mechanics written by Alain Vincent and published by American Mathematical Soc.. This book was released on 1998 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: At a level comprehensible to graduate students and beginning researchers, describes the state of the art in using numerical methods for analyzing turbulence in fluids, a problem still unsolved after centuries of research. The methods described include wavelet-based, semi-Lagrangian, Langrangian multi-pole, continuous adaptation of curvilinear grids, finite volume, and shock-capturing. Among the applications are industrial flows, aerodynamics, two-phase flows, astrophysical flows, and meteorology. Suitable as a course text for graduate students with a background in fluid mechanics. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Book Synopsis Numerical Methods for Viscous Flows by : R. C. Lock
Download or read book Numerical Methods for Viscous Flows written by R. C. Lock and published by . This book was released on 1970 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Methods in Fluid Dynamics by : Hans Jochen Wirz
Download or read book Numerical Methods in Fluid Dynamics written by Hans Jochen Wirz and published by Hemisphere Pub. This book was released on 1978 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Methods in Viscous Flows by : W. G. Habashi
Download or read book Computational Methods in Viscous Flows written by W. G. Habashi and published by . This book was released on 1984 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Research in Numerical Fluid mechanics by : Wesseling Pieter
Download or read book Research in Numerical Fluid mechanics written by Wesseling Pieter and published by Springer-Verlag. This book was released on 2013-03-09 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Methods for Steady Viscous Free-surface Flows by : E. H. van Brummelen
Download or read book Numerical Methods for Steady Viscous Free-surface Flows written by E. H. van Brummelen and published by . This book was released on 2003 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fluid Flow Phenomena by : Paolo Orlandi
Download or read book Fluid Flow Phenomena written by Paolo Orlandi and published by Springer Science & Business Media. This book was released on 2000 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dealing with the simulation of the incompressible Navier-Stokes equations for laminar and turbulent flows, this work permits the reader to play with the Navier-Stokes equations and to understand the complex physics related to fluid mechanics. Numerical simulations are useful tools for understanding the complexity of the flows, which often is difficult to derive from laboratory experiments. This book, then, can be very useful to scholars doing laboratory experiments, since they often do not have extra time to study the large variety of numerical methods; furthermore they cannot spend more time in transferring one of the methods into a computer language. By means of numerical simulations, for example, insights into the vorticity field can be obtained which are difficult to obtain by measurements. This book can be used by graduate as well as undergraduate students while reading books on theoretical fluid mechanics; it teaches how to simulate the dynamics of flow fields on personal computers. This will provide a better way of understanding the theory.
Book Synopsis Numerical Methods for the Computation of Inviscid Transonic Flows with Shock Waves by : Arthur Rizzi
Download or read book Numerical Methods for the Computation of Inviscid Transonic Flows with Shock Waves written by Arthur Rizzi and published by Springer-Verlag. This book was released on 2013-08-13 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Simulation of Non-Newtonian Flow by : Marcel J. Crochet
Download or read book Numerical Simulation of Non-Newtonian Flow written by Marcel J. Crochet and published by . This book was released on 1984 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Simulation of Non-isothermal Viscoelastic Flows with Integral Constitutive Equations in Planar Geometry by : Gien-Huang Wu
Download or read book Numerical Simulation of Non-isothermal Viscoelastic Flows with Integral Constitutive Equations in Planar Geometry written by Gien-Huang Wu and published by . This book was released on 1995 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: