scholarly journals Unsteady forces on a body immersed in a viscous fluid. 3rd report For an inclined thin elliptic cylinder.

1986 ◽  
Vol 52 (475) ◽  
pp. 1197-1206
Author(s):  
Takahiko TANAHASHI ◽  
Tatsuo SAWADA ◽  
Eriya KANAI ◽  
Akira CHINO ◽  
Tsuneyo ANDO
Keyword(s):  
Viscous Fluid ◽  
Elliptic Cylinder ◽  
Unsteady Forces

scholarly journals Unsteady Forces on a Body Immersed in a Viscous Fluid : 3rd Report, For an Inclined Thin Elliptic Cylinder

1986 ◽  
Vol 29 (257) ◽  
pp. 3717-3724 ◽  
Author(s):  
Takahiko TANAHASHI ◽  
Tatsuo SAWADA ◽  
Eriya KANAI ◽  
Akira CHINO ◽  
Tsuneyo ANDO
Keyword(s):  
Viscous Fluid ◽  
Elliptic Cylinder ◽  
Unsteady Forces

Note on the development of the Circulation around a thin Elliptic Cylinder

1935 ◽  
Vol 31 (4) ◽  
pp. 582-584 ◽  
Author(s):  
L. Howarth
Keyword(s):  
Viscous Fluid ◽  
Qualitative Analysis ◽  
Small Angle ◽  
Present Note ◽  
Elliptic Cylinder ◽  
Major Axis ◽  
Present Writer

In a previous paper the present writer gave a solution of the problem of determining the circulation around a thin elliptic cylinder in a steady stream of slightly viscous fluid when the major axis of the cylinder is inclined at a small angle to the direction of the flow at infinity. The present note gives a largely qualitative analysis of the manner in which this circulation is built up when the motion of the fluid or cylinder is started instantaneously from rest with a given velocity.

scholarly journals On the motion of an elliptic cylinder through a vicous fluid

1934 ◽  
Vol 233 (721-730) ◽  
pp. 279-301 ◽  
Keyword(s):  
Viscous Fluid ◽  
Steady Motion ◽  
Elliptic Cylinder ◽  
Approximate Solutions ◽  
Mathematical Solution ◽  
Poisson Equations ◽  
Flow Past ◽  
Special Cases ◽  
Flow Past A Cylinder ◽  
Flow Past A Sphere

The NAVIER-POISSON equations for the flow of an incompressible viscous fluid are not, as yet, am enable to complete mathematical solution. A number of approximate solutions to them have been obtained in certain special cases, the greater number of these relating to the slow steady motion of a very viscous fluid, i.e., to conditions when the Reynolds’ number is very small. The solution due to STOKES for the flow past a sphere is based on the assumption that the inertia terms in the viscous equations are negligible. A solution for the flow past a cylinder in the presence of walls has been obtained by BAIRSTOW, CAVE and LANG, making the same supposition, also by BERRY and SWAIN for an elliptic cylinder and by FRAZER for a number of conditions, whilst BASSETTS obtained a solution for the flow in the neighbourhood of a sphere moving impulsively from rest.

scholarly journals Solution of Oseen's equations for an inclined elliptic cylinder in a viscous fluid

1937 ◽  
Vol 162 (909) ◽  
pp. 232-251 ◽  
Keyword(s):  
Circular Cylinder ◽  
Viscous Fluid ◽  
Flat Plate ◽  
Steady Motion ◽  
Elliptic Cylinder ◽  
Two Dimensions

Solutions of Oseen's equations have previously been obtained for the circular cylinder (Lamb 1916; Bairstow, Cave and Lang 1923; Southwell and Squire 1933), circular and elliptic cylinders (Berry and Swain 1923; Harrison 1924; Faxén 1927) and flat plate (Berry and Swain 1923; Piercy and Winny 1933). After eliminating the pressure from the equations of steady motion of a viscous fluid in two dimensions the equations become v ∇ 2 ζ = u ∂ζ/∂ x + v ∂ζ/∂ y . (1·1) Oseen's modification is v ∇ 2 ζ = v ∂ζ/∂ x , (1·2) where V is the undisturbed velocity of the fluid and the axis of x is in the direction of the undisturbed motion.

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