Two-dimensional flow of viscous fluid between cylindrical rollers rotating in opposite directions

1983 ◽  
Vol 45 (6) ◽  
pp. 1396-1402
Author(s):  
M. O. Izotov ◽  
G. M. Goncharov ◽  
N. G. Bekin
Keyword(s):  
Viscous Fluid ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Two Dimensional Flow

scholarly journals Random representation of Blasius’ formula through stochastic complex integrals

2019 ◽  
Vol 11 (01) ◽  
pp. 1950004
Author(s):  
Kouji Yamamuro
Keyword(s):  
Viscous Fluid ◽  
Perfect Fluid ◽  
Complex Plane ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Two Dimensional Flow

Two-dimensional flow is considered in the complex plane. We discuss Blasius’ formula in a perfect fluid through stochastic complex integrals. This formula is also investigated in a viscous fluid. We mention the theorems corresponding to Green’s formulae last.

scholarly journals Self propulsion due to oscillations on the surface of a cylinder at low Reynolds number

1971 ◽  
Vol 5 (2) ◽  
pp. 255-264 ◽  
Author(s):  
J.R. Blake
Keyword(s):  
Reynolds Number ◽  
Viscous Fluid ◽  
Low Reynolds Number ◽  
Infinite Cylinder ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Two Dimensional Flow ◽  
Low Reynolds ◽  
Micro Organisms

The two-dimensional flow around an infinite cylinder at low Reynolds number has interested fluid dynamicists for many years. In this paper it is shown that an infinite cylinder can propel itself through a viscous fluid (for example micro-organisms) if it has certain undulations on its surface.

Mixing in internally stirred flows

2009 ◽  
Vol 465 (2104) ◽  
pp. 1271-1290 ◽  
Author(s):  
P.N Shankar ◽  
R Kidambi
Keyword(s):  
Reynolds Number ◽  
Viscous Fluid ◽  
Three Dimensional ◽  
Analytical Description ◽  
Two Dimensional ◽  
Mixing Properties ◽  
Stokes Approximation ◽  
Dimensional Flow ◽  
Periodic Rotation ◽  
Two Dimensional Flow

We consider mixing in a viscous fluid by the periodic rotation and translation of a stirrer, the Reynolds number being low enough that the Stokes approximation is valid in the unsteady, two-dimensional flow. Portions of the boundary of the container may also move to contribute to the mixing. The shapes of the stirrer and the container are arbitrary. It is shown that the recently developed embedding method for eigenfunction expansions in arbitrary domains is well suited to analyse the mixing properties of such mixers. This application depends crucially on the accurate analytical description of the complex, unsteady field. After carefully validating the proposed method against the recent results found in the literature, examples are given of how the method could be used in practice. A special advantage of the suggested method is that it can be extended to handle three-dimensional mixing flows with virtually no change in the procedure shown here.

Two-Dimensional Flow of Polymer Solutions Through Porous Media

1999 ◽  
Vol 2 (3) ◽  
pp. 251-262
Author(s):  
P. Gestoso ◽  
A. J. Muller ◽  
A. E. Saez
Keyword(s):  
Porous Media ◽  
Polymer Solutions ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Two Dimensional Flow

A two-dimensional flow model of laser supported combustion waves

1983 ◽  
Author(s):  
V. KULKARNY ◽  
J. SHWARTZ ◽  
S. FINK
Keyword(s):  
Flow Model ◽  
Two Dimensional ◽  
Combustion Waves ◽  
Dimensional Flow ◽  
Two Dimensional Flow

MATHEMATICAL AND COMPUTATIONAL MODELING OF THE TWO-DIMENSIONAL FLOW THROUGH A POROUS SQUARE CYLINDER DOWNSTREAM A BACKWARD-FACING STEP

2019 ◽  
Author(s):  
Ítalo Augusto Magalhães de Ávila ◽  
Gabriel Machado dos Santos ◽  
Hélio Ribeiro Neto ◽  
Aristeu Silveira Neto
Keyword(s):  
Computational Modeling ◽  
Two Dimensional ◽  
Square Cylinder ◽  
Backward Facing Step ◽  
Dimensional Flow ◽  
Two Dimensional Flow ◽  
Flow Through ◽  
Mathematical And Computational Modeling
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