Constitutive equations in suspension mechanics. Part 2. Approximate forms for a suspension of rigid particles affected by Brownian rotations
From MaRDI portal
Publication:4122969
DOI10.1017/S0022112076003200zbMath0352.76005MaRDI QIDQ4122969
Publication date: 1976
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Multiphase and multicomponent flows (76T99) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)
Related Items
A successive iteration method on predicting properties of turbulent fiber suspensions and its application to pipe flows ⋮ Modelling and computation of liquid crystals ⋮ Exact tensor closures for the three-dimensional Jeffery's equation ⋮ An investigation of the influence of extracellular matrix anisotropy and cell-matrix interactions on tissue architecture ⋮ Hyperbolic Systems of Moment Equations Describing Sedimentation in Suspensions of Rod-Like Particles ⋮ LOCAL AND GLOBAL EXISTENCE OF SOLUTIONS TO EQUATIONS FOR FLOWS OF FIBRE SUSPENSIONS ⋮ On the steady solution of nonlinear advection equations in steady recirculating flows ⋮ The effect of shear flow on the rotational diffusion of a single axisymmetric particle ⋮ Solution of three-dimensional fiber orientation in two-dimensional fiber suspension flows ⋮ A second-gradient theory of dilute suspensions of flexible rods in a Newtonian fluid ⋮ A stability result on the orientation of red blood cells in the venule network ⋮ Orientational dispersion of fibers in extensional flows ⋮ A numerical analysis of the evolution of bundle orientation in concentrated fibre-bundle suspensions ⋮ Numerical simulation of flow-induced fiber orientation using normalization of second moment ⋮ The hydrodynamic stress in a suspension of rods ⋮ A new computational method for the solution of flow problems of microstructured fluids. Part 1. Theory ⋮ Shear reversal in dense suspensions: the challenge to fabric evolution models from simulation data ⋮ Derivation of an Effective Rheology for Dilute Suspensions of Microswimmers ⋮ A priori analysis of a closure model using the reconstruction of the orientation distribution function in flow of fiber suspensions ⋮ Mathematical modeling of turbulent fiber suspension and successive iteration solution in the channel flow ⋮ Evaluation of the thermodynamic consistency of closure approximations in several models proposed for the description of liquid crystalline dynamics ⋮ Orientation distribution in a dilute suspension of fibers subject to simple shear flow ⋮ Homogeneous pattern selection and director instabilities of nematic liquid crystal polymers induced by elongational flows ⋮ Cross-streamline migration of slender Brownian fibres in plane Poiseuille flow ⋮ Primary instabilities and bicriticality in fiber suspensions between rotating cylinders ⋮ Effects of tensor closure models and 3-D orientation on the stability of fiber suspensions in a channel flow ⋮ The dynamic mechanism for turbulent drag reduction using rigid fibers based on Lagrangian conditional statistics ⋮ A novel approach to computing the orientation moments of spheroids in simple shear flow at arbitrary Péclet number ⋮ Centrifugal instability of semidilute non-Brownian fiber suspensions ⋮ Efficient spectral methods for quasi-equilibrium closure approximations of symmetric problems on unit circle and sphere ⋮ An experimental and numerical investigation of drag reduction in a turbulent boundary layer using a rigid rodlike polymer ⋮ Consistent closure schemes for statistical models of anisotropic fluids ⋮ From single-scale to two-scales kinetic theory descriptions of rods suspensions ⋮ Oriented suspension mechanics with application to improving flow linear dichroism spectroscopy ⋮ Finite element analysis of fibre suspension flows ⋮ State-of-the-art numerical simulation of fiber-reinforced thermoplastic forming processes. ⋮ A Kinetic Model for the Sedimentation of Rod--Like Particles ⋮ From microscopic theory to macroscopic theory: a systematic study on modeling for liquid crystals ⋮ A mean-field anisotropic diffusion model for unentangled polymeric liquids and semi-dilute solutions: model development and comparison with experimental and simulation data ⋮ Viscoelastic behaviour of suspensions of rigid-rod like particles in turbulent channel flow ⋮ Hydrodynamic fluctuations of a liquid with anisotropic molecules ⋮ Inhomogeneous distribution of a rigid fibre undergoing rectilinear flow between parallel walls at high Péclet numbers ⋮ Stress tensor in fiber suspensions ⋮ Rheology of dilute suspensions of charged fibers ⋮ Extensional and shear flows, and general rheology of concentrated emulsions of deformable drops ⋮ Continuum damage mechanics: Combining thermodynamics with a thoughtful characterization of the microstructure ⋮ The influence of inertia on the rheology of a periodic suspension of neutrally buoyant rigid ellipsoids ⋮ THE EFFECTS OF CLOSURE MODEL OF FIBER ORIENTATION TENSOR ON THE INSTABILITY OF FIBER SUSPENSIONS IN THE TAYLOR–COUETTE FLOW ⋮ A semi-Lagrangian strategy to predict the fiber orientation in the steady flows of reinforced thermoplastics ⋮ Internal variables and the thermodynamics of macromolecule solutions
Cites Work
- Stress-Strain Relations in a Suspension of Dumbbells
- The motion of rigid particles in a shear flow at low Reynolds number
- Constitutive equations in suspension mechanics. Part 1. General formulation
- The rheology of suspensions and its relation to phenomenological theories for non-newtonian fluids
- The effect of weak Brownian rotations on particles in shear flow
- The effect of Brownian motion on the rheological properties of a suspension of non-spherical particles
- Time-dependent shear flows of a suspension of particles with weak Brownian rotations