Journal ArticleDOI
Constitutive equations for polymeric liquids
R. Byron Bird,John M. Wiest +1 more
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The origins, uses and evaluation of constitutive equations for the stress tensor of polymeric liquids are discussed in this paper, where the authors also discuss the use of the constitutive equation for the tensor tensor.Abstract:
The origins, uses and evaluation of constitutive equations for the stress tensor of polymeric liquids are discussed.read more
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The hydrodynamics of swimming microorganisms
Eric Lauga,Thomas R. Powers +1 more
TL;DR: The biophysical and mechanical principles of locomotion at the small scales relevant to cell swimming, tens of micrometers and below are reviewed, with emphasis on the simple physical picture and fundamental flow physics phenomena in this regime.
Journal ArticleDOI
Filament-stretching rheometry of complex fluids
TL;DR: In this article, a cylindrical liquid bridge is initially formed between two circular end-plates, and the plates are then moved apart in a prescribed manner such that the fluid sample is subjected to a strong extensional deformation.
Journal ArticleDOI
Creep, relaxation and viscosity properties for basic fractional models in rheology
Francesco Mainardi,Giorgio Spada +1 more
TL;DR: In this article, the authors provide a general survey to the viscoelastic models constructed via fractional calculus and from the other side they intend to analyze the basic fractional models as far as their creep, relaxation and viscosity properties are considered.
Journal ArticleDOI
Propulsion in a viscoelastic fluid
TL;DR: This work considers the simplest model of propulsion and transport in a complex fluid, a waving sheet of small amplitude free to move in a polymeric fluid with a single relaxation time, and shows that, compared to self-propulsion in a Newtonian fluid occurring at a velocity UN, the sheet swims or transports fluid with velocity U∕UN.
Book
Invariant Manifolds for Physical and Chemical Kinetics
TL;DR: In this paper, a film extension of the dynamics is described, which is called the Film of Nonequilibrium States (FOS), and a slow invariant manifold for open systems is estimated.
References
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Book
An Introduction To Rheology
TL;DR: In this article, the authors discuss the importance of non-linearity solids and liquids rheology is a difficult subject for rheological research, and present some demonstrations of high extensional viscosity behaviour.
Journal ArticleDOI
On the Formulation of Rheological Equations of State
TL;DR: The invariant forms of rheological equations of state for a homogeneous continuum, suitable for application to all conditions of motion and stress, are discussed in this article, where the right invariance properties can most readily be recognized if the frame of reference is a co-ordinate system convected with the material.
Journal ArticleDOI
A new constitutive equation derived from network theory
Nhan Phan Thien,Roger I. Tanner +1 more
TL;DR: In this paper, a constitutive equation is derived from a Lodge-Yamamoto type of network theory for polymeric fluids, where the network junctions are not assumed to move strictly as points of the continuum but allowed a certain "effective slip".
Journal ArticleDOI
Instabilities in viscoelastic flows
TL;DR: In this article, the authors present a review of the latest developments as well as earlier work in this area, organized into the following categories: Taylor-Couette flows, instabilities in cone and plate-and-plate flows, parallel shear flows, extrudate distortions and fracture, Instabilities in shear flow with interfaces, extensional flows, and thermohydrodynamic instabilities.
Dynamics of polymeric liquids, Volume 1: Fluid mechanics, 2nd Edition
TL;DR: In this paper, the authors describe a malicious download of the dynamics of polymeric liquids volume 1 fluid mechanics vol 1, but end up in malicious downloads, rather than reading a good book with a cup of coffee in the afternoon, instead they are facing with some harmful virus inside their desktop computer.