Homogenized model of oscillations of elastic medium with small caverns filled with viscous incompressible fluid

2014 ◽  
pp. 179-197
Author(s):  
E. Ya. Khruslov ◽  
M. V. Goncharenko ◽  
N. K. Radyakin
Keyword(s):  
Incompressible Fluid ◽  
Elastic Medium ◽  
Viscous Incompressible Fluid ◽  
Homogenized Model

ASYMMETRIC HYDRODYNAMICS OF SUSPENSIONS SUBJECTED TO THE INFLUENCE OF STRONG EXTERNAL MAGNETIC FIELDS

2012 ◽  
Vol 04 (01) ◽  
pp. 1250002
Author(s):  
MAKSYM BEREZHNYI ◽  
EUGEN KHRUSLOV
Keyword(s):  
Asymptotic Behavior ◽  
Incompressible Fluid ◽  
Symmetry Axis ◽  
Viscous Incompressible Fluid ◽  
Strain Tensor ◽  
Solid Particles ◽  
Axially Symmetric ◽  
Rotation Tensor ◽  
Small Oscillations ◽  
Homogenized Model

A viscous incompressible fluid with a large number of small axially symmetric solid particles is considered. It is assumed that the particles are identically oriented and under the influence of the fluid they move translationally or rotate around symmetry axis but the direction of their symmetry axes does not change. The asymptotic behavior of small oscillations of the system is studied, when the diameters of particles and distances between the nearest particles are decreased. The equations, describing the homogenized model of the system, are derived. It is shown that the homogenized equations correspond to a non-standard hydrodynamics. Namely, the homogenized stress tensor linearly depends not only on the strain tensor but also on the rotation tensor.

Slender-body theory for slow viscous flow

1976 ◽  
Vol 75 (4) ◽  
pp. 705-714 ◽  
Author(s):  
Joseph B. Keller ◽  
Sol I. Rubinow
Keyword(s):  
Integral Equation ◽  
Incompressible Fluid ◽  
Viscous Incompressible Fluid ◽  
Unit Length ◽  
The Body ◽  
Slender Body ◽  
Slow Flow ◽  
Slender Body Theory ◽  
Slow Viscous Flow ◽  
Body Theory

Slow flow of a viscous incompressible fluid past a slender body of circular crosssection is treated by the method of matched asymptotic expansions. The main result is an integral equation for the force per unit length exerted on the body by the fluid. The novelty is that the body is permitted to twist and dilate in addition to undergoing the translating, bending and stretching, which have been considered by others. The method of derivation is relatively simple, and the resulting integral equation does not involve the limiting processes which occur in the previous work.

Effects of Heat Transfer During Peristaltic Transport in Nonuniform Channel With Permeable Walls

2016 ◽  
Vol 139 (1) ◽  
Author(s):  
Siddharth Shankar Bhatt ◽  
Amit Medhavi ◽  
R. S. Gupta ◽  
U. P. Singh
Keyword(s):  
Heat Transfer ◽  
Reynolds Number ◽  
Incompressible Fluid ◽  
Friction Force ◽  
Viscous Incompressible Fluid ◽  
Peristaltic Transport ◽  
Two Dimensional ◽  
Peristaltic Motion ◽  
Long Wavelength ◽  
Permeable Walls

In the present investigation, problem of heat transfer has been studied during peristaltic motion of a viscous incompressible fluid for two-dimensional nonuniform channel with permeable walls under long wavelength and low Reynolds number approximation. Expressions for pressure, friction force, and temperature are obtained. The effects of different parameters on pressure, friction force, and temperature have been discussed through graphs.

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