The effect of hydrodynamic interactions on the orientation distribution in a fiber suspension subject to simple shear flow

1995 ◽  
Vol 7 (3) ◽  
pp. 487-506 ◽  
Author(s):  
Mani Rahnama ◽  
Donald L. Koch ◽  
Eric S. G. Shaqfeh
Keyword(s):  
Shear Flow ◽  
Simple Shear ◽  
Orientation Distribution ◽  
Hydrodynamic Interactions ◽  
Fiber Suspension ◽  
Simple Shear Flow

The Dynamic Behavior of a Concentrated Non-Brownian Glass Fiber Suspension in Simple Shear Flow

2008 ◽  
Author(s):  
Aaron P. R. Eberle ◽  
Gregorio Velez ◽  
Donald Baird ◽  
Peter Wapperom ◽  
Kevin Ortman ◽  
...  
Keyword(s):  
Shear Flow ◽  
Glass Fiber ◽  
Dynamic Behavior ◽  
Simple Shear ◽  
Fiber Suspension ◽  
Simple Shear Flow

Fiber orientation kinetics of a concentrated short glass fiber suspension in startup of simple shear flow

2010 ◽  
Vol 165 (3-4) ◽  
pp. 110-119 ◽  
Author(s):  
Aaron P.R. Eberle ◽  
Gregorio M. Vélez-García ◽  
Donald G. Baird ◽  
Peter Wapperom
Keyword(s):  
Shear Flow ◽  
Glass Fiber ◽  
Simple Shear ◽  
Fiber Orientation ◽  
Fiber Suspension ◽  
Simple Shear Flow ◽  
Short Glass Fiber ◽  
Kinetics Of ◽  
Short Glass

Observations of fibre orientation in simple shear flow of semi-dilute suspensions

1992 ◽  
Vol 238 ◽  
pp. 277-296 ◽  
Author(s):  
Carl A. Stover ◽  
Donald L. Koch ◽  
Claude Cohen
Keyword(s):  
Shear Flow ◽  
Simple Shear ◽  
Fibre Orientation ◽  
Flow Direction ◽  
Orientation Distribution ◽  
Index Of Refraction ◽  
Simple Shear Flow ◽  
Flow Gradient ◽  
Dilute Suspensions ◽  
Rotary Diffusion

The orientations of fibres in a semi-dilute, index-of-refraction-matched suspension in a Newtonian fluid were observed in a cylindrical Couette device. Even at the highest concentration (nL3 = 45), the particles rotated around the vorticity axis, spending most of their time nearly aligned in the flow direction as they would do in a Jeffery orbit. The measured orbit-constant distributions were quite different from the dilute orbit-constant distributions measured by Anczurowski & Mason (1967b) and were described well by an anisotropic, weak rotary diffusion. The measured ϕ-distributions were found to be similar to Jeffery's solution. Here, ϕ is the meridian angle in the flow-gradient plane. The shear viscosities measured by Bibbo (1987) compared well with the values predicted by Shaqfeh & Fredrickson's theory (1990) using moments of the orientation distribution measured here.

scholarly journals Thermally Fluctuating, Semiflexible Sheets in Simple Shear Flow

Soft Matter ◽  
2022 ◽  
Author(s):  
Kevin S. Silmore ◽  
Michael Strano ◽  
James W. Swan
Keyword(s):  
Shear Flow ◽  
Simple Shear ◽  
Brownian Dynamics ◽  
Thermal Fluctuations ◽  
Hydrodynamic Interactions ◽  
Simple Shear Flow ◽  
Bending Rigidity ◽  
Dynamics Simulations ◽  
Brownian Dynamics Simulations ◽  
Shear Energy

We perform Brownian dynamics simulations of semiflexible colloidal sheets with hydrodynamic interactions and thermal fluctuations in shear flow. As a function of the ratio of bending rigidity to shear energy...

Hydrodynamic interaction between two identical capsules in simple shear flow

2007 ◽  
Vol 573 ◽  
pp. 149-169 ◽  
Author(s):  
ETIENNE LAC ◽  
ARNAUD MOREL ◽  
DOMINIQUE BARTHÈS-BIESEL
Keyword(s):  
Shear Flow ◽  
Simple Shear ◽  
Liquid Droplet ◽  
Small Deformation ◽  
Creeping Flow ◽  
Constitutive Law ◽  
Hydrodynamic Interactions ◽  
Simple Shear Flow ◽  
Liquid Droplets ◽  
Flow Strength

We present a numerical model of the hydrodynamic interactions between two capsules freely suspended in a simple shear flow. The capsules are identical and each consists of a liquid droplet enclosed by a thin hyperelastic membrane, devoid of bending resistance and obeying a neo-Hookean constitutive law. The two capsules are slightly prestressed with a given inflation ratio in order to avoid the small deformation instability due to compression observed for a single capsule in simple shear flow. The viscosity ratio between the interior and exterior fluids of the capsule is taken to be unity and creeping flow conditions are assumed to prevail. The boundary-element method is used with bi-cubic B-splines as basis functions on a structured mesh in order to discretize the capsule surface. A new method using two grids with initially orthogonal pole axes is developed to eliminate polar singularities in the load calculation and to allow for long computation times. Two capsules suspended in simple shear flow usually have different velocities and thus eventually pass each other. We study this crossing process as a function of flow strength and initial particle separation. We find that hydrodynamic interactions during crossing lead to large shape alterations, elevated elastic tensions in the membrane and result in an irreversible trajectory shift of the capsules. Furthermore, a tendency towards buckling is observed, particularly during the separation phase where large pressure differences occur. Our results are in qualitative agreement with those obtained for a pair of interacting liquid droplets but show the specific role played by the membrane of capsules.

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