Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
A Stable And Convergent Scheme For Viscoelastic Flow In Contraction Channels
Download A Stable And Convergent Scheme For Viscoelastic Flow In Contraction Channels full books in PDF, epub, and Kindle. Read online A Stable And Convergent Scheme For Viscoelastic Flow In Contraction Channels ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Book Synopsis A Stable and Convergent Scheme for Viscoelastic Flow in Contraction Channels by :
Download or read book A Stable and Convergent Scheme for Viscoelastic Flow in Contraction Channels written by and published by . This book was released on 2004 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a new algorithm to simulate unsteady viscoelastic flows in abrupt contraction channels. In our approach we split the viscoelastic terms of the Oldroyd-B constitutive equation using Duhamel's formula and discretize the resulting PDEs using a semi-implicit finite difference method based on a Lax-Wendroff method for hyperbolic terms. In particular, we leave a small residual elastic term in the viscous limit by design to make the hyperbolic piece well-posed. A projection method is used to impose the incompressibility constraint. We are able to compute the full range of elastic flows in an abrupt contraction channel--from the viscous limit to the elastic limit--in a stable and convergent manner for elastic Mach numbers less than one. We demonstrate the method for unsteady Oldroyd-B and Maxwell fluids in planar contraction channels.
Book Synopsis Recent Advances in Mechanics and Fluid-Structure Interaction with Applications by : Fernando Carapau
Download or read book Recent Advances in Mechanics and Fluid-Structure Interaction with Applications written by Fernando Carapau and published by Springer Nature. This book was released on 2022-11-28 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines current research in mechanics and its applications to various disciplines, with a particular focus on fluid-structure interaction (FSI). The topics have been chosen in commemoration of Dr. Bong Jae Chung and with respect to his wide range of research interests. This volume stands apart because of this diversity of interests, featuring an interdisciplinary and in-depth analysis of FSI that is difficult to find conveniently collected elsewhere in the literature. Contributors include mathematicians, physicists, mechanical and biomechanical engineers, and psychologists. This volume is structured into four thematic areas in order to increase its accessibility: theory, computations, experiments, and applications. Recent Advances in Mechanics and Fluid-Structure Interaction with Applications will appeal to established researchers as well as postdocs and graduate students interested in this active area of research.
Book Synopsis Numerical Simulations of Viscoelastic Flow in Complex Geometries Using a Multi-mode Giesekus Model by : Wan-Chi Tsai
Download or read book Numerical Simulations of Viscoelastic Flow in Complex Geometries Using a Multi-mode Giesekus Model written by Wan-Chi Tsai and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a convergent and stable numerical algorithm to simulate unsteady incompressible viscoelastic flow in two dimensional complex geometry. The incompressible viscous momentum equation, coupled with the multiple mode Giesekus constitutive equation for viscoelastic stress, are used to model viscoelastic fluids in our problems. We recast the hyperbolic part of equations to a second order conservative finite difference method and leave the elliptic part as a source term to be computed by implicit methods. A second order Godunov method is introduced to compute edge-centered, time-centered primitive variables for calculating fluxes in a conservative finite difference equation, and then cell-centered conservative variables are updated using a hybrid flux divergence and source terms. The nonlinear stress source term in the elliptic part is computed separately by applying an operator splitting method with a new, stable, discretization. A projection method is used to enforce the velocity incompressibility constraint and to update pressure. Irregular computational domains are discretized with a Cartesian grid embedded boundary method. We demonstrate our numerical method by computing flow passing a sphere, flow in a well-rounded contraction channel, and in an abrupt contraction channel, with component Weissenberg numbers exceeding 300. The convergence rates of the solution error are second order in the L1 and L2 norms, and first order in the L[infinity] norm for velocity components in arbitrary smooth geometries. For stress components, this numerical algorithm showed second order convergence rate in the L1 norm, higher than first order in the L2 norm.
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 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 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 110 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 Computational Mechanics by : Zhenhan Yao
Download or read book Computational Mechanics written by Zhenhan Yao and published by Springer Science & Business Media. This book was released on 2009-03-24 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Mechanics is the proceedings of the International Symposium on Computational Mechanics, ISCM 2007. This conference is the first of a series created by a group of prominent scholars from the Mainland of China, Hong Kong, Taiwan, and overseas Chinese, who are very active in the field. The book includes 22 full papers of plenary and semi-plenary lectures and approximately 150 one-page summaries.
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Viscoelastic Flow Through Contraction Geometries by : Ashwin K. Sankaran
Download or read book Viscoelastic Flow Through Contraction Geometries written by Ashwin K. Sankaran and published by . This book was released on 2012 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contraction flow of viscoelastic fluids has been a benchmark problem in non-Newtonian fluid mechanics because it mimics flows occurring in a number of industrial applications. It is also of considerable interest to academia to gain fundamental understanding of factors that affect the evolution of vortices and a complete understanding of the dynamics for a simple polymeric fluid has not been achieved. In this two part study we investigate the effect of pre deformation of a Boger fluid in a contraction geometry and the flow of surfactants in a parallel contraction geometry. Entry flow of a polymeric fluid results in the formation of upstream vortices, the presence of recirculation zones may lead to a nonuniform residence time and hence inferior quality products. In this work we study the effect of pre-stretching dilute flexible chain polymers by placing a cylinder in front of a contraction in a microfluidic device. This deformation applied to the polymer is remembered before it completely relaxes, this memory effect changes the rheological properties during the fading period of the deformation history. Applying pre-deformation gives rise to new type of vortex evolution that is different from the standard contraction case. Semi-dilute surfactant solutions that exhibit shear thickening nature can be potentially used in enhanced oil recovery to increase the sweep efficiency. Two parallel microfluidic contractions of different cross sectional area are used to investigate the rheological effect on the mass flux of the two channels. Shear thickening micellar solutions were found to increase the mass flux through the small channel compared to a newtonian fluid. This effect was observed only for a small range of flow rates. As flow rates increased inlet instabilities were observed that evolved into a chaotic behavior upon further increase in the net flow rate.
Book Synopsis Flow Characteristics in Three-dimensional Channel Contractions by : Fuh-Min Fang
Download or read book Flow Characteristics in Three-dimensional Channel Contractions written by Fuh-Min Fang and published by . This book was released on 1989 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A numerical method for solving steady 2D and axisymmetrical viscoelastic flow problems with an application to inertia effects in contraction flows by : Martien A. Hulsen
Download or read book A numerical method for solving steady 2D and axisymmetrical viscoelastic flow problems with an application to inertia effects in contraction flows written by Martien A. Hulsen and published by . This book was released on 1990 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Viscoelastic Flow in a Collapsible Channel by : Debadi Chakraborty
Download or read book Viscoelastic Flow in a Collapsible Channel written by Debadi Chakraborty and published by . This book was released on 2011 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: A numerical method based on a fluid-structure interaction formulation is used to understand the role of viscoelasticity on flow in a two-dimensional collapsible channel. Three different viscoelastic fluid models have been considered - the Oldroyd-B, the FENE-P and Owens model for blood [R. G. Owens, A new microstructure-based constitutive model for human blood, J. Non-Newtonian Fluid Mech. 140 (2006), 57-70]. Initially the collapsible wall is considered as a zero thickness membrane model. Subsequently the collapsible wall is modelled as an incompressible neo-Hookean solid. Experiments in micro collapsible channels have also been performed.At present, there are no models in the literature thatsimultaneously account for the elastic nature of the collapsible wall and the non-Newtonian rheology of the flowing fluid. In this study, for the first time, a viscoelastic fluid-structure interaction model has been developed that accounts for a viscoelastic fluid and a finite thickness elastic wall, and the resulting governing equations are solved with a sophisticated finite element method. The rheological behaviour of the viscoelastic fluids is described in terms of a conformation tensor model. The mesh equation and transport equations are discretized by using the DEVSS-TG/SUPG mixed finite element method. The computational method developed in this work is validated by comparing with the available analytical and numerical results.While considering viscoelastic flow in a two-dimensional collapsible channel with a zero-thickness membrane, a distinct difference has been observed in the collapse wall profile for the Oldroyd-B, FENE-P and Owens model as compared to a Newtonian fluid at low values of membrane tension. The shape change of the collapsible wall depends on the Weissenberg number (Wi) for the Oldroyd-B and FENE-P fluids. The shape change in Owens model is essentially due to its shear thinning property. There is a limiting Weissenberg number beyond which computations fail, which increases with mesh refinement and decreases with decrease in membrane tension.One of the major outcomes of the zero-thickness membrane model study is that the significant differences that arise amongst the different viscoelastic fluids in the predicted value of the tangential shear stress on the membrane surface, has no influence on the shape of the deformable membrane, because of the boundary condition adopted in the model. Essentially it is assumed that the shape of the membrane is governed only by the normal stresses acting on it. In order to use a more realistic model for the collapsible wall, the zero-thickness membrane model has been replaced by a deformable finite thickness elastic solid which accounts for the effect of shear stress on membrane shape. The limiting Weissenberg number beyond which computations fail to converge is found to be sensitive to the choice of viscoelastic model and depends on a dimensionless solid elasticity parameter. The shape of the fluid-solid interface and the stress and velocity fields in the channel, for the three viscoelastic fluids, are compared with predictions for a Newtonian fluid, and the observed differences are related to individual fluid rheological behaviour. Predictions with a finite thickness elastic solid model for the deformable wall differ considerably from those in which it is modelled as a zero-thickness membrane.Experiments have been carried out in a micro-collapsible channel made of polydimethysiloxane (PDMS) that mimics the numerically simulated geometry. The experiments show that the channel width perpendicular to the flow must be significant in order for wall effects to be negligible (an assumption that is made in the 2D simulation). As a consequence, the commercial software ANSYS has been used to develop a full 3D model of the channel which captures the deformation of the flexible membrane in the absence of flow. The elastic properties of PDMS have been extracted by comparing the load-displacement curves obtained from the FEM simulations with the experiments. Preliminary comparison has been made between simulations and experiments for the flow of a Newtonian fluid in the micro-collapsible channel.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1972 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability of Viscous and Viscoelastic Flows Through Periodically Constricted Channels by : Jianxin Liu
Download or read book Stability of Viscous and Viscoelastic Flows Through Periodically Constricted Channels written by Jianxin Liu and published by . This book was released on 1999 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Fluid and Solid Mechanics 2003 by : K.J Bathe
Download or read book Computational Fluid and Solid Mechanics 2003 written by K.J Bathe and published by Elsevier. This book was released on 2003-06-02 with total page 2485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing together the world's leading researchers and practitioners of computational mechanics, these new volumes meet and build on the eight key challenges for research and development in computational mechanics. Researchers have recently identified eight critical research tasks facing the field of computational mechanics. These tasks have come about because it appears possible to reach a new level of mathematical modelling and numerical solution that will lead to a much deeper understanding of nature and to great improvements in engineering design.The eight tasks are: The automatic solution of mathematical models Effective numerical schemes for fluid flows The development of an effective mesh-free numerical solution method The development of numerical procedures for multiphysics problems The development of numerical procedures for multiscale problems The modelling of uncertainties The analysis of complete life cycles of systems Education - teaching sound engineering and scientific judgement Readers of Computational Fluid and Solid Mechanics 2003 will be able to apply the combined experience of many of the world's leading researchers to their own research needs. Those in academic environments will gain a better insight into the needs and constraints of the industries they are involved with; those in industry will gain a competitive advantage by gaining insight into the cutting edge research being carried out by colleagues in academia. Features Bridges the gap between academic researchers and practitioners in industry Outlines the eight main challenges facing Research and Design in Computational mechanics and offers new insights into the shifting the research agenda Provides a vision of how strong, basic and exciting education at university can be harmonized with life-long learning to obtain maximum value from the new powerful tools of analysis
Book Synopsis Smart and Green Interfaces Conference - SGIC2015 by : Zoran Šaponjić
Download or read book Smart and Green Interfaces Conference - SGIC2015 written by Zoran Šaponjić and published by Institut za nuklearne nauke VINČA. This book was released on 2015-03-12 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ништа није унето
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 1992 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt:
