Wall effects on the slow steady motion of a particle in a viscous incompressible fluid

1986 ◽  
Vol 8 (1) ◽  
pp. 23-40 ◽  
Author(s):  
T. M. Fischer ◽  
W. Wendland
Keyword(s):  
Incompressible Fluid ◽  
Viscous Incompressible Fluid ◽  
Steady Motion ◽  
Wall Effects

STEADY FLOWS OF A VISCOUS INCOMPRESSIBLE FLUID IN A POROUS HALF-SPACE

1994 ◽  
Vol 04 (05) ◽  
pp. 705-732 ◽  
Author(s):  
ARIANNA PASSERINI
Keyword(s):  
Asymptotic Behavior ◽  
Incompressible Fluid ◽  
Half Space ◽  
Viscous Incompressible Fluid ◽  
Steady Motion ◽  
Navier Stokes ◽  
Asymptotic Behavior Of Solutions ◽  
Steady Flows ◽  
Porous Half Space

In this paper we prove the existence and asymptotic behavior of solutions to the equations describing the steady motion of a viscous incompressible fluid in a porous half-space. The results are compared with those already known for the Navier-Stokes model and we find, in particular, that the behavior at large distances is strongly different depending on the value of the incoming flux through the boundary.

scholarly journals A modification of Oseen’s approximate equation for the motion in two dimensions of a viscous incompressible fluid

1933 ◽  
Vol 232 (707-720) ◽  
pp. 27-64 ◽  
Keyword(s):  
Incompressible Fluid ◽  
Viscous Incompressible Fluid ◽  
Steady Motion ◽  
Cylindrical Body ◽  
Approximate Equation ◽  
Two Dimensions ◽  
Uniform Velocity

This paper is concerned with the steady motion in two dimensions, past a fixed cylindrical body, of an incompressible fluid possessing finite viscosity. Alternatively, the fluid may be imagined to be stationary at infinity, and the cylinder to move through it with uniform velocity in a direction normal to its own axis. The problem has importance for aeronautics, since a solution would permit the calculation of what in modern aerofoil theory is termed the “ profile drag.” 2. Treating the cylinder as fixed, we take rectangular axes O x , O y , O z , of which 0 z is along its axis and O x is the direction of the undisturbed stream ( i.e ., of the flow at infinity). The motion of the fluid is then defined by component velocities u , v in the directions O x , O y respectively.

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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