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A Solver For Time Dependent Viscoelastic Fluid Flows
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Book Synopsis A Solver for Time Dependent Viscoelastic Fluid Flows by : Fredrik Olsson
Download or read book A Solver for Time Dependent Viscoelastic Fluid Flows written by Fredrik Olsson and published by . This book was released on 1993 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We present a solver for computing time dependent viscoelastic flow in two space dimensions for UCM, Oldroyd-B and Giesekus fluids. The method is based on second order accurate finite differences on composite overlapping grids, created with the grid generating program CMPGRD. Several numerical results are presented. We demonstrate viscoelastic instabilities in a channel flow with a cylinder. A study of a 2:1-contraction flow indicates why this geometry has been difficult to simulate. We also give an industrial example by computing a paper coating flow for a Giesekus fluid."
Book Synopsis Advances in Experimental and Computational Rheology, Volume II by : Maria Teresa Cidade
Download or read book Advances in Experimental and Computational Rheology, Volume II written by Maria Teresa Cidade and published by MDPI. This book was released on 2020-11-27 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rheology, defined as the science of deformation and flow of matter, is a multidisciplinary scientific field, covering both fundamental and applied approaches. The study of rheology includes both experimental and computational methods, which are not mutually exclusive. Its practical importance embraces many processes, from daily life, like preparing mayonnaise or spreading an ointment or shampooing, to industrial processes like polymer processing and oil extraction, among several others. Practical applications include also formulations and product development. Following a successful first volume, we are now launching this second volume to continue to present the latest advances in the fields of experimental and computational rheology applied to the most diverse classes of materials (foods, cosmetics, pharmaceuticals, polymers and biopolymers, multiphasic systems, and composites) and processes.
Book Synopsis Simulation of Time-Dependent Viscoelastic Fluid Flows by Spectral Elements by : Azadeh Jafari
Download or read book Simulation of Time-Dependent Viscoelastic Fluid Flows by Spectral Elements written by Azadeh Jafari and published by . This book was released on 2011 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1969 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Rheology by : Robert G Owens
Download or read book Computational Rheology written by Robert G Owens and published by World Scientific. This book was released on 2002-05-29 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern day high-performance computers are making available to 21st-century scientists solutions to rheological flow problems of ever-increasing complexity. Computational rheology is a fast-moving subject — problems which only 10 years ago were intractable, such as 3D transient flows of polymeric liquids, non-isothermal non-Newtonian flows or flows of highly elastic liquids through complex geometries, are now being tackled owing to the availability of parallel computers, adaptive methods and advances in constitutive modelling.Computational Rheology traces the development of numerical methods for non-Newtonian flows from the late 1960's to the present day. It begins with broad coverage of non-Newtonian fluids, including their mathematical modelling and analysis, before specific computational techniques are discussed. The application of these techniques to some important rheological flow problems of academic and industrial interest is then treated in a detailed and up-to-date exposition. Finally, the reader is kept abreast of topics at the cutting edge of research in computational applied mathematics, such as adaptivity and stochastic partial differential equations.All the topics in this book are dealt with from an elementary level and this makes the text suitable for advanced undergraduate and graduate students, as well as experienced researchers from both the academic and industrial communities.
Book Synopsis Numerical Methods for Non-Newtonian Fluids by : Philippe G. Ciarlet
Download or read book Numerical Methods for Non-Newtonian Fluids written by Philippe G. Ciarlet and published by Elsevier. This book was released on 1990 with total page 827 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations.
Book Synopsis Stabilized Finite Element Formulations for the Three-field Viscoelastic Fluid Flow Problem by : Ernesto Castillo del Barrio
Download or read book Stabilized Finite Element Formulations for the Three-field Viscoelastic Fluid Flow Problem written by Ernesto Castillo del Barrio and published by . This book was released on 2016 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Element Method (FEM) is a powerful numerical tool, that permits the resolution of problems defined by partial differential equations, very often employed to deal with the numerical simulation of multiphysics problems. In this work, we use it to approximate numerically the viscoelastic fluid flow problem, which involves the resolution of the standard Navier-Stokes equations for velocity and pressure, and another tensorial reactive-convective constitutive equation for the elastic part of the stress, that describes the viscoelastic nature of the fluid. The three-field (velocity-pressure-stress) mixed formulation of the incompressible Navier-Stokes problem, either in the elastic and in the non-elastic case, can lead to two different types of numerical instabilities. The first is associated with the incompressibility and loss of stability of the stress field, and the second with the dominant convection. The first type of instabilities can be overcome by choosing an interpolation for the unknowns that satisfies the two inf-sup conditions that restrict the mixed problem, whereas the dominant convection requires a stabilized formulation in any case. In this work, different stabilized schemes of the Sub-Grid-Scale (SGS) type are proposed to solve the three-field problem, first for quasi Newtonian fluids and then for solving the viscoelastic case. The proposed methods allow one to use equal interpolation for the problem unknowns and to stabilize dominant convective terms both in the momentum and in the constitutive equation. Starting from a residual based formulation used in the quasi-Newtonian case, a non-residual based formulation is proposed in the viscoelastic case which is shown to have superior behavior when there are numerical or geometrical singularities. The stabilized finite element formulations presented in the work yield a global stable solution, however, if the solution presents very high gradients, local oscillations may still remain. In order to alleviate these local instabilities, a general discontinuity-capturing technique for the elastic stress is also proposed. The monolithic resolution of the three-field viscoelastic problem could be extremely expensive computationally, particularly, in the threedimensional case with ten degrees of freedom per node. A fractional step approach motivated in the classical pressure segregation algorithms used in the two-field Navier-Stokes problem is presented in the work.The algorithms designed allow one the resolution of the system of equations that define the problem in a fully decoupled manner, reducing in this way the CPU time and memory requirements with respect to the monolithic case. The numerical simulation of moving interfaces involved in two-fluid flow problems is an important topic in many industrial processes and physical situations. If we solve the problem using a fixed mesh approach, when the interface between both fluids cuts an element, the discontinuity in the material properties leads to discontinuities in the gradients of the unknowns which cannot be captured using a standard finite element interpolation. The method presented in this work features a local enrichment for the pressure unknowns which allows one to capture pressure gradient discontinuities in fluids presenting different density values. The stability and convergence of the non-residual formulation used for viscoelastic fluids is analyzed in the last part of the work, for a linearized stationary case of the Oseen type and for the semi-discrete time dependent non-linear case. In both cases, it is shown that the formulation is stable and optimally convergent under suitable regularity assumptions.
Book Synopsis Numerical Simulation of Time-dependent, Two-dimensional Viscoelastic Fluid Flows by : Paul Joseph Northey
Download or read book Numerical Simulation of Time-dependent, Two-dimensional Viscoelastic Fluid Flows written by Paul Joseph Northey and published by . This book was released on 1991 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Time-dependent Nonlinear Behavior of Viscoelastic Fluids by : Ian Francis Macdonald
Download or read book Time-dependent Nonlinear Behavior of Viscoelastic Fluids written by Ian Francis Macdonald and published by . This book was released on 1968 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Flowing Matter written by Federico Toschi and published by Springer Nature. This book was released on 2019-09-25 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book, published in the Soft and Biological Matter series, presents an introduction to selected research topics in the broad field of flowing matter, including the dynamics of fluids with a complex internal structure -from nematic fluids to soft glasses- as well as active matter and turbulent phenomena. Flowing matter is a subject at the crossroads between physics, mathematics, chemistry, engineering, biology and earth sciences, and relies on a multidisciplinary approach to describe the emergence of the macroscopic behaviours in a system from the coordinated dynamics of its microscopic constituents. Depending on the microscopic interactions, an assembly of molecules or of mesoscopic particles can flow like a simple Newtonian fluid, deform elastically like a solid or behave in a complex manner. When the internal constituents are active, as for biological entities, one generally observes complex large-scale collective motions. Phenomenology is further complicated by the invariable tendency of fluids to display chaos at the large scales or when stirred strongly enough. This volume presents several research topics that address these phenomena encompassing the traditional micro-, meso-, and macro-scales descriptions, and contributes to our understanding of the fundamentals of flowing matter. This book is the legacy of the COST Action MP1305 “Flowing Matter”.
Book Synopsis Numerical Methods for Non-Newtonian Fluids by :
Download or read book Numerical Methods for Non-Newtonian Fluids written by and published by Elsevier. This book was released on 2010-12-20 with total page 826 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-Newtonian flows and their numerical simulations have generated an abundant literature, as well as many publications and references to which can be found in this volume’s articles. This abundance of publications can be explained by the fact that non-Newtonian fluids occur in many real life situations: the food industry, oil & gas industry, chemical, civil and mechanical engineering, the bio-Sciences, to name just a few. Mathematical and numerical analysis of non-Newtonian fluid flow models provide challenging problems to partial differential equations specialists and applied computational mathematicians alike. This volume offers investigations. Results and conclusions that will no doubt be useful to engineers and computational and applied mathematicians who are focused on various aspects of non-Newtonian Fluid Mechanics. New review of well-known computational methods for the simulation viscoelastic and viscoplastic types Discusses new numerical methods that have proven to be more efficient and more accurate than traditional methods Articles that discuss the numerical simulation of particulate flow for viscoelastic fluids
Book Synopsis A Modern Course in Transport Phenomena by : David C. Venerus
Download or read book A Modern Course in Transport Phenomena written by David C. Venerus and published by Cambridge University Press. This book was released on 2018-03-15 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrating nonequilibrium thermodynamics and kinetic theory, this unique text presents a novel approach to the subject of transport phenomena.
Book Synopsis Simulation of Nonisothermal and Time-dependent Viscoelastic Flows by : Mark Davis Smith
Download or read book Simulation of Nonisothermal and Time-dependent Viscoelastic Flows written by Mark Davis Smith and published by . This book was released on 2000 with total page 560 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 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamics Of Complex Fluids: Proceedings Of The Second Royal Society-unilever Indo-uk Forum In Materials Science And Engineering by : M J Adams
Download or read book Dynamics Of Complex Fluids: Proceedings Of The Second Royal Society-unilever Indo-uk Forum In Materials Science And Engineering written by M J Adams and published by World Scientific. This book was released on 1998-08-08 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume records the presentations and discussions at the Second Royal Society-Unilever Indo-UK Forum on 'Dynamics of Complex Fluids' which was the culmination of the six-month programme on this topic organised at the Issac Newton Institute for Mathematical Sciences, Cambridge University.The authors of this important volume present an up-to-date, wide-ranging view on developments in the analysis of complex fluid behaviour. Emphasis is placed upon the relation between small-scale structure and large-scale response: this brings together the approaches of molecular physics and continuum mechanics.Experiments, constitutive models and computer simulations are combined to yield new insights into the flow behaviour of polymer melts and solutions, colloidal and neutral particle suspensions, and pastes and soils.
Book Synopsis Numerical Simulation of Viscoelastic Fluid Flows by Spectral Element Methods and Time-dependent Algorithms by : Nicolas Fiétier
Download or read book Numerical Simulation of Viscoelastic Fluid Flows by Spectral Element Methods and Time-dependent Algorithms written by Nicolas Fiétier and published by . This book was released on 2002 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Simulation of Time Dependent Viscoelastic Fluid Flow by : Fredrik Olsson
Download or read book Numerical Simulation of Time Dependent Viscoelastic Fluid Flow written by Fredrik Olsson and published by . This book was released on 1993 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
