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.

On the flow past a sphere at low Reynolds number

1969 ◽  
Vol 37 (4) ◽  
pp. 751-760 ◽  
Author(s):  
W. Chester ◽  
D. R. Breach ◽  
Ian Proudman
Keyword(s):  
Reynolds Number ◽  
Viscous Fluid ◽  
Low Reynolds Number ◽  
Incompressible Viscous Fluid ◽  
Euler’S Constant ◽  
Stokes Drag ◽  
Flow Past ◽  
Low Reynolds ◽  
Euler's Constant ◽  
Flow Past A Sphere

The flow of an incompressible, viscous fluid past a sphere is considered for small values of the Reynolds number. In particular the drag is found to be given by \[ D = D_s\{1+{\textstyle\frac{3}{8}}R+{\textstyle\frac{9}{40}}R^2(\log R+\gamma + {\textstyle\frac{5}{3}}\log 2 - {\textstyle\frac{323}{360}})+{\textstyle\frac{27}{80}}R^3\log R+O(R^3)\}, \] where Ds is the Stokes drag, R is the Reynolds number and γ is Euler's constant.

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.

Flow past a sphere in density-stratified fluid

2004 ◽  
Vol 18 (2-4) ◽  
pp. 265-276 ◽  
Author(s):  
Sungsu Lee ◽  
Kyung-Soo Yang
Keyword(s):  
Stratified Fluid ◽  
Flow Past ◽  
Flow Past A Sphere

Computation of unsteady flow past a cylinder instantaneously set in motion

1977 ◽  
Vol 17 (5) ◽  
pp. 671-677
Author(s):  
V. I. Kravchenko ◽  
Yu. D. Shevelev ◽  
V. V. Shchennikov
Keyword(s):  
Unsteady Flow ◽  
Flow Past ◽  
Flow Past A Cylinder

Variable viscosity effects for the steady flow past a sphere

2019 ◽  
Vol 31 (11) ◽  
pp. 113105
Author(s):  
Kostas D. Housiadas ◽  
Antony N. Beris
Keyword(s):  
Steady Flow ◽  
Variable Viscosity ◽  
Viscosity Effects ◽  
Flow Past ◽  
Flow Past A Sphere

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
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