Author: Bangwei ShePublisher:
ISBN:
Category :
Languages : en
Pages : 103
Book Description
Numerical Simulation of Some Viscoelastic Fluids
Analysis and Numerical Simulation of the Flow of Viscoelastic Fluids
Author: Martinus A. HulsenPublisher:
ISBN: 9789062754946
Category : Viscoelasticity
Languages : en
Pages : 169
Book Description
Numerical Simulation of Incompressible Viscous Flow
Author: Roland GlowinskiPublisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110785013
Category : Mathematics
Languages : en
Pages : 232
Book Description
This text on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to split complicated computational fluid dynamics problems into a sequence of simpler sub-problems. A methodology for solving more advanced applications such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid is also presented.
Viscoelastic Fluids
Author: Amr GuailyPublisher: LAP Lambert Academic Publishing
ISBN: 9783846521007
Category :
Languages : en
Pages : 156
Book Description
Although viscoelastic flows are characterized by a very low Mach number regime, it involves a weakly compressible liquid phase, which requires a special treatment. This work is devoted to the mathematical modeling and numerical simulation for viscoelastic fluids. It follows directly a previous publication, PhD dissertation of the author. A Unified purely hyperbolic mathematical model for compressible and incompressible viscoelastic fluids is presented. To complete the mathematical model, a complete chapter is devoted to describe a new procedure to determine the correct type and number of boundary conditions for hyperbolic systems. Then a new model describing the non-isothermal viscoelastic flows is introduced while keeping the hyperbolic nature of the system. The main advantage of the proposed model over the existing ones is its hyperbolic nature, which overcomes some of the drawbacks of the available models. The proposed model is then solved numerically using a hybrid finite element/finite difference scheme.
Numerical Simulation of Viscoelastic Fluids with Mesoscopic Models
Author: John Cathal BonvinNumerical Simulation of Non-Newtonian Flow
Author: M.J. CrochetPublisher: Elsevier
ISBN: 0444598553
Category : Science
Languages : en
Pages : 367
Book Description
Numerical Simulation of Non-Newtonian Flow focuses on the numerical simulation of non-Newtonian flow using finite difference and finite element techniques. Topics range from the basic equations governing non-Newtonian fluid mechanics to flow classification and finite element calculation of flow (generalized Newtonian flow and viscoelastic flow). An overview of finite difference and finite element methods is also presented. Comprised of 11 chapters, this volume begins with an introduction to non-Newtonian mechanics, paying particular attention to the rheometrical properties of non-Newtonian fluids as well as non-Newtonian flow in complex geometries. The role of non-Newtonian fluid mechanics is also considered. The discussion then turns to the basic equations governing non-Newtonian fluid mechanics, including Navier Stokes equations and rheological equations of state. The next chapter describes a flow classification in which the various flow problems are grouped under five main headings: flows dominated by shear viscosity, slow flows (slightly elastic liquids), small deformation flows, nearly-viscometric flows, and long-range memory effects in complex flows. The remainder of the book is devoted to numerical analysis of non-Newtonian fluids using finite difference and finite element techniques. This monograph will be of interest to students and practitioners of physics and mathematics.
Numerical Methods for Non-Newtonian Fluids
Author: Philippe G. CiarletPublisher: Elsevier
ISBN: 0444530479
Category : Mathematics
Languages : en
Pages : 827
Book Description
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.
Mathematical Analysis of Viscoelastic Flows
Author: Michael RenardyPublisher: SIAM
ISBN: 0898714575
Category : Mathematics
Languages : en
Pages : 110
Book Description
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.
Numerical Simulation of Time-dependent, Two-dimensional Viscoelastic Fluid Flows
Author: Paul Joseph NortheyIUTAM Symposium on Numerical Simulation of Non-Isothermal Flow of Viscoelastic Liquids
Author: J.F. DijksmanPublisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 216
Book Description
Proceedings of an IUTAM Symposium held in Kerkrade, the Netherlands, 1--3 November 1993