A numerical investigation of the hydrodynamic interaction for Hookean dumbbell suspensions in steady state shear flow

1986 ◽  
Vol 85 (10) ◽  
pp. 6237-6238 ◽  
Author(s):  
Xi‐jun Fan
Keyword(s):  
Steady State ◽  
Shear Flow ◽  
Numerical Investigation ◽  
Hydrodynamic Interaction

Theory of hydrodynamic interaction of two spheres in wall-bounded shear flow

2020 ◽  
Vol 5 (5) ◽  
Author(s):  
Itzhak Fouxon ◽  
Boris Rubinstein ◽  
Zhouyang Ge ◽  
Luca Brandt ◽  
Alexander Leshansky
Keyword(s):  
Shear Flow ◽  
Hydrodynamic Interaction

Numerical study of electric field effects on the deformation of two-dimensional liquid drops in simple shear flow at arbitrary Reynolds number

2009 ◽  
Vol 626 ◽  
pp. 367-393 ◽  
Author(s):  
STEFAN MÄHLMANN ◽  
DEMETRIOS T. PAPAGEORGIOU
Keyword(s):  
Steady State ◽  
Shear Flow ◽  
Electric Field ◽  
Electric Fields ◽  
Simple Shear ◽  
Simple Shear Flow ◽  
Physical Parameters ◽  
Shear Stresses ◽  
Two Dimensional ◽  
Liquid Drops

The effect of an electric field on a periodic array of two-dimensional liquid drops suspended in simple shear flow is studied numerically. The shear is produced by moving the parallel walls of the channel containing the fluids at equal speeds but in opposite directions and an electric field is generated by imposing a constant voltage difference across the channel walls. The level set method is adapted to electrohydrodynamics problems that include a background flow in order to compute the effects of permittivity and conductivity differences between the two phases on the dynamics and drop configurations. The electric field introduces additional interfacial stresses at the drop interface and we perform extensive computations to assess the combined effects of electric fields, surface tension and inertia. Our computations for perfect dielectric systems indicate that the electric field increases the drop deformation to generate elongated drops at steady state, and at the same time alters the drop orientation by increasing alignment with the vertical, which is the direction of the underlying electric field. These phenomena are observed for a range of values of Reynolds and capillary numbers. Computations using the leaky dielectric model also indicate that for certain combinations of electric properties the drop can undergo enhanced alignment with the vertical or the horizontal, as compared to perfect dielectric systems. For cases of enhanced elongation and alignment with the vertical, the flow positions the droplets closer to the channel walls where they cause larger wall shear stresses. We also establish that a sufficiently strong electric field can be used to destabilize the flow in the sense that steady-state droplets that can exist in its absence for a set of physical parameters, become increasingly and indefinitely elongated until additional mechanisms can lead to rupture. It is suggested that electric fields can be used to enhance such phenomena.

Elastic recovery of immiscible blends 1. Analysis after steady state shear flow

1999 ◽  
Vol 38 (1) ◽  
pp. 65-72 ◽  
Author(s):  
I. Vinckier ◽  
P. Moldenaers ◽  
J. Mewis
Keyword(s):  
Steady State ◽  
Shear Flow ◽  
Elastic Recovery ◽  
Immiscible Blends
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