Numerical Simulation of Non-Newtonian Flow
Numerical Simulation of Non-Newtonian Flow

Author: M.J. Crochet

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 367

ISBN-13: 0444598553

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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
Numerical Methods for Non-Newtonian Fluids

Author:

Publisher: Elsevier

Published: 2010-12-20

Total Pages: 826

ISBN-13: 0080932029

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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

Numerical Simulation of Incompressible Viscous Flow
Numerical Simulation of Incompressible Viscous Flow

Author: Roland Glowinski

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2022-09-20

Total Pages: 236

ISBN-13: 3110785056

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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.

Numerical Simulation of Immiscible Liquid-liquid Flows in Channels
Numerical Simulation of Immiscible Liquid-liquid Flows in Channels

Author: Adesoji O. Dairo

Publisher:

Published: 2007

Total Pages: 99

ISBN-13: 9780549106340

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Finally, interfacial behaviors of multi-layer liquid-liquid flow of non-Newtonian and Newtonian fluids in an inclined channel are investigated. The lighter fluid is replaced by a shear thinning, non-Newtonian fluid. A proper empirical model for viscosity constitutive equation is employed for describing the non-Newtonian behavior of the fluid to allow for numerical computation. A comparative study is conducted with suitable range of flow parameters using non-Newtonian fluid as the lighter fluid occupying the upper layer of channel. The thickness of the PEG layer increases as the degree of shear thinning increases. This effect is observed only with gravity induced wavy interface. Shear induced wavy interface does not manifest any effect of shear thinning of the oil for the range of degree of shear thinning effects considered in this study.

Mathematical Analysis of Viscoelastic Flows
Mathematical Analysis of Viscoelastic Flows

Author: Michael Renardy

Publisher: SIAM

Published: 2000-01-01

Total Pages: 113

ISBN-13: 9780898719413

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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.