Stability of steady flows of perfect incompressible fluid with a free boundary

1978 ◽  
Vol 42 (6) ◽  
pp. 1148-1155 ◽  
Author(s):  
V.I. Sedenko ◽  
V.I. Iudovich
Keyword(s):  
Free Boundary ◽  
Incompressible Fluid ◽  
Steady Flows ◽  
Perfect Incompressible Fluid

Secondary circulation in fluid flow

1951 ◽  
Vol 206 (1086) ◽  
pp. 374-387 ◽  
Keyword(s):  
Fluid Flow ◽  
Incompressible Fluid ◽  
Velocity Distribution ◽  
Secondary Flow ◽  
General Expression ◽  
Total Pressure ◽  
Secondary Circulation ◽  
Perfect Incompressible Fluid ◽  
Uniform Velocity ◽  
Circular Pipes

Secondary circulation appears after fluid with a non-uniform velocity distribution passes round a bend. It alters the character of the flow and is a source of loss. A general expression is developed for its change along a streamline in a perfect, incompressible fluid. The flow in bent circular pipes is analyzed and the theory is compared with experiments on bent pipes and rectangular ducts. In bends the secondary flow is not spiral but oscillatory, the direction of the circulation changing periodically. The theory shows that secondary circulation remains unchanged if streamlines are geodesics on surfaces of constant total pressure.

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.

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