A Numerical Simulation Of Newtonian And Visco Elastic Flow Past Stationary And Rotating Cylinders
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A Numerical Simulation Of Newtonian And Visco Elastic Flow Past Stationary And Rotating Cylinders
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Author : Peter Townsend
language : en
Publisher:
Release Date : 1979
A Numerical Simulation Of Newtonian And Visco Elastic Flow Past Stationary And Rotating Cylinders written by Peter Townsend and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Cylinders categories.
Numerical solutions are presented for the two-dimensional flow past a circular cylinder in an infinite domain. The flow is assumed to be uniform at infinity and the cylinder is allowed to rotate with a constant angular velocity omega. Omega is chosen to be in the range (0 - 5W/a) where a is the radius of the cylinder and W is the mainstream velocity at infinity. To incorporate visco-elastic properties into the flow, and implicit four constant Oldroyd model is used, and the resulting nonlinear constitutive equations are solved in parallel with the equations of motion as a coupled set of partial differential equations. The method of solution used is a finite difference technique with block over-relaxation. The results are compared with those of other numerical computations as well as with available experimental data. In particular, consideration is given to the influence of cylinder rotation and of visco-elasticity on the drag and lift experienced by the cylinder and on the streamline patterns and vorticity distribution. (Author).
A Numerical Simulation Of Newtonian And Visco Elastic Flow Past
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Author : Peter Townsend
language : en
Publisher:
Release Date : 1979
A Numerical Simulation Of Newtonian And Visco Elastic Flow Past written by Peter Townsend and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
Numerical Simulation Of Non Newtonian Flow
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Author : M.J. Crochet
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Numerical Simulation Of Non Newtonian Flow written by M.J. Crochet and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
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 Simulation Of Non Newtonian Flow
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Author : Marcel J. Crochet
language : en
Publisher:
Release Date : 1984
Numerical Simulation Of Non Newtonian Flow written by Marcel J. Crochet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Science categories.
Mathematical Analysis Of Viscoelastic Flows
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Author : Michael Renardy
language : en
Publisher: SIAM
Release Date : 2000-01-01
Mathematical Analysis Of Viscoelastic Flows written by Michael Renardy and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Mathematics categories.
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 Incompressible Viscous Flow
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Author : Roland Glowinski
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-09-20
Numerical Simulation Of Incompressible Viscous Flow written by Roland Glowinski and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-20 with Mathematics categories.
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.
Computational Rheology
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Author : Robert G Owens
language : en
Publisher: World Scientific
Release Date : 2002-05-29
Computational Rheology written by Robert G Owens and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-29 with Mathematics categories.
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.
Numerical Simulation Of Non Isothermal Viscoelastic Flows With Integral Constitutive Equations In Planar Geometry
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Author : Gien-Huang Wu
language : en
Publisher:
Release Date : 1995
Numerical Simulation Of Non Isothermal Viscoelastic Flows With Integral Constitutive Equations In Planar Geometry written by Gien-Huang Wu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Handbook Of Applied Polymer Processing Technology
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Author : Nicholas P. Cheremisinoff
language : en
Publisher: CRC Press
Release Date : 2020-10-07
Handbook Of Applied Polymer Processing Technology written by Nicholas P. Cheremisinoff and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-07 with Technology & Engineering categories.
"Offers detailed coverage of applied polymer processing--presenting a wide range of technologies and furnishing state-of-the-art data on polymer components, properties, and processibility. Reviews fundamental rheological concepts. Contains over 1600 bibliographic citations, some 450 equations, and over 400 tables, drawings, and photographs."
The Effects Of Viscoelasticity On The Transitioning Cylinder Wake
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Author : David Hastings Richter
language : en
Publisher: Stanford University
Release Date : 2011
The Effects Of Viscoelasticity On The Transitioning Cylinder Wake written by David Hastings Richter and has been published by Stanford University this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
Using a newly developed three dimensional, time dependent finite volume code designed to compute non-Newtonian flows over a large range of Reynolds number (Re), we performed simulations of viscoelastic flow past a circular cylinder. Our goal was to elucidate elastic effects during transition to turbulence in a bluff body wake. Based on its ability to capture essential physical processes in turbulent drag reduction studies, the FENE-P rheological model was employed in the calculation, and the numerical method utilized was such that a large range of rheological parameters (polymer length L, dimensionless Weissenberg number (Wi), and polymer concentration (beta) in the FENE-P model) could be probed. Simulations were performed for Reynolds numbers ranging from Re = 100 to Re = 3900. Within this range, the Newtonian cylinder wake first undergoes a series of secondary instabilities, transitioning the wake structure from a two-dimensional, laminar vortex shedding state to one exhibiting three-dimensional motion. This transition is characterized first by the mode A instability, which develops in the region of primary vortex development at a Reynolds number of Re = 190. The mode B instability then follows at Re = 260, resulting from unstable perturbation growth in the braid region between primary vortices. At still higher Reynolds numbers, Re = O(1000), the separated shear layer immediately behind the cylinder begins to transition prior to primary vortex shedding. Through nonlinear simulations as well as a Floquet linear stability analysis, viscoelasticity was observed to stabilize both regimes of three-dimensional transition. Full nonlinear simulations revealed that for high enough polymer extensibility L at Re = 300, where mode B instability structures dominate for Newtonian flow, the wake could be reverted back to a state resembling two-dimensional, laminar vortex shedding. This was then confirmed using a Floquet stability analysis, showing significantly suppressed growth rates for both the mode A and mode B instabilities in the linear regime of their development. Mechanisms of this stabilization are presented. At Re = 3900, viscoelasticity again stabilizes the flow, though at this point through a suppression of the Kelvin-Helmoltz rollup instability present in the separated shear layer for Newtonian flows. Once a primary Karman vortex is allowed to form without the influence of a transitioned shear layer, the wake then reverts back to one resembling the mode B instabilities. Confirming this, a study was then performed at the same Reynolds number but allowing for an inhomogeneous polymer concentration throughout the flow field. By injecting polymer additives on the upstream side of the cylinder, it was found that stabilization of the shear layer and of the subsequent wake could be achieved without the presence of polymeric stresses in all downstream locations of the flow.
