Approximate solution to the problem of the interaction of a soft shell with a viscous incompressible fluid

1980 ◽  
Vol 15 (3) ◽  
pp. 430-434
Author(s):  
M. M. Suleimanova
Keyword(s):  
Approximate Solution ◽  
Incompressible Fluid ◽  
Viscous Incompressible Fluid ◽  
Soft Shell

Unsteady Flow in a Porous Medium Between Two Infinite Parallel Plates in Relative Motion

1985 ◽  
Vol 107 (4) ◽  
pp. 534-535 ◽  
Author(s):  
V. M. Soundalgekar ◽  
H. S. Takhar ◽  
M. Singh
Keyword(s):  
Porous Medium ◽  
Approximate Solution ◽  
Unsteady Flow ◽  
Incompressible Fluid ◽  
Phase Angle ◽  
Viscous Incompressible Fluid ◽  
Parallel Plates ◽  
Phase Lead ◽  
Permeability Parameter ◽  
Transient Velocity

An approximate solution to the unsteady flow of a viscous incompressible fluid through a porous medium bounded by two infinite parallel plates, the lower one stationary and the upper one oscillating in its own plane, is presented here. Expressions for the transient velocity, the amplitude, the phase angle α and the skin-friction are derived and numerically calculated. It is observed that the amplitude increases with increasing σ, the permeability parameter, and ω, the frequency. Also, there is always a phase lead, and the phase angle α decreases with increasing σ.

scholarly journals TRANSIENT VISCOUS FLOW IN AN ANNULUS

2002 ◽  
Vol 7 (2) ◽  
pp. 263-270
Author(s):  
A. A. Kolyshkin ◽  
I. Volodko
Keyword(s):  
Approximate Solution ◽  
Laminar Flow ◽  
Incompressible Fluid ◽  
Flow Rate ◽  
Asymptotic Expansions ◽  
Transient Flow ◽  
Viscous Incompressible Fluid ◽  
Time Intervals ◽  
Short Time ◽  
Sudden Reduction

The method of matched asymptotic expansions is used in the present paper to derive an approximate solution for transient flow of a viscous incompressible fluid in an annulus. The transient is caused by a sudden reduction of flow rate to zero. The laminar flow before deceleration can be either steady or unsteady but unidirectional. The solution is valid for short time intervals after sudden deceleration.

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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