SPH Viscous Flow Around a Circular Cylinder: Impact of Viscous Formulation and Background Pressure

2021 ◽  
pp. 1-17
Author(s):  
Doruk Isik ◽  
Zhaoming He
Keyword(s):  
Circular Cylinder ◽  
Viscous Flow

Calculations of unsteady viscous flow past a circular cylinder

1958 ◽  
Vol 4 (1) ◽  
pp. 81-86 ◽  
Author(s):  
R. B. Payne
Keyword(s):  
Circular Cylinder ◽  
Viscous Fluid ◽  
Numerical Solution ◽  
Viscous Flow ◽  
Steady Flow ◽  
Reynolds Numbers ◽  
A Value ◽  
Unsteady Viscous Flow ◽  
Starting Flow ◽  
Forward Integration

A numerical solution has been obtained for the starting flow of a viscous fluid past a circular cylinder at Reynolds numbers 40 and 100. The method used is the step-by-step forward integration in time of Helmholtz's vorticity equation. The advantage of working with the vorticity is that calculations can be confined to the region of non-zero vorticity near the cylinder.The general features of the flow, including the formation of the eddies attached to the rear of the cylinder, have been determined, and the drag has been calculated. At R = 40 the drag on the cylinder decreases with time to a value very near that for the steady flow.

Potential flow and forces for incompressible viscous flow

1992 ◽  
Vol 437 (1901) ◽  
pp. 517-525 ◽  
Keyword(s):  
Circular Cylinder ◽  
Viscous Flow ◽  
Solid Body ◽  
Potential Flow ◽  
Physical Significance ◽  
Inertial Forces ◽  
Incompressible Viscous Flow ◽  
Ellipsoid Of Revolution ◽  
Finite Body ◽  
Uniform Stream

Forces on a finite body in an incompressible viscous flow are shown to be contributed by a potential flow and fluid elements of non-zero vorticity in a revealing formulation. The present study indicates that the potential flow play also a geometric role in determining the contribution of the fluid elements. Consideration is given to a solid body moving through a fluid, fluid accelerating past a solid body and a solid body which oscillates in a uniform stream. The effects of induced-mass and inertial forces appear naturally in the formulation and are separated from the contribution due to the surface vorticity and that due to the vorticity within the flow. Physical significance of the present analysis for vortical flows about a finite body is illustrated by examples, e.g. flow past a circular cylinder or an ellipsoid of revolution.

Impulsive Motion of a Moving Circular Cylinder in a Viscous Flow by the Numerical Simulation

1998 ◽  
Vol 14 (3) ◽  
pp. 119-123
Author(s):  
D. L. Young ◽  
J. T. Chang
Keyword(s):  
Circular Cylinder ◽  
Viscous Fluid ◽  
Viscous Flow ◽  
Drag Force ◽  
Moving Boundary ◽  
Stokes Equations ◽  
Flow Theory ◽  
Infinite Domain ◽  
Constant Acceleration ◽  
Element Method

ABSTRACTAn innovative computation procedure is developed to solve the external flow problems for viscous fluids. The method is able to handle the infinite domain so that it is convenient for the external flows. The code is based on the projection method of the Navier-Stokes equations. We use the three-step explicit finite element method to solve the momentum equation by extracting the boundary effects from the finite computation domain. The pressure Poisson equation for the external field is treated by the boundary element method. The arbitrary Lagrangian-Eulerian (ALE) scheme is employed to incorporate the present algorithm to deal with the moving boundary, such as the motion of an impulsively moving circular cylinder in a viscous fluid. The model demonstrates that drag force is well predicted for a circular cylinder moving in a still viscous fluid starting from rest, to a constant acceleration, and then maintaining at a uniform velocity. In the constant acceleration phase, the drag force is closed to the added mass effect from the ideal flow theory. On the other hand, the drag force is equal to viscous flow theory in the constant velocity phase.

Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform translation. Part 1. Steady flow

1977 ◽  
Vol 79 (2) ◽  
pp. 231-256 ◽  
Author(s):  
Madeleine Coutanceau ◽  
Roger Bouard
Keyword(s):  
Reynolds Number ◽  
Circular Cylinder ◽  
Velocity Distribution ◽  
Viscous Flow ◽  
Experimental Determination ◽  
Geometrical Parameters ◽  
Visualization Method ◽  
Number Range ◽  
Hydrodynamic Field

A visualization method is used to obtain the main features of the hydrodynamic field for flow past a circular cylinder moving at a uniform speed in a direction perpendicular to its generating lines in a tank filled with a viscous liquid. Photographs are presented to show the particular fineness of the experimental technique. More especially, the closed wake and the velocity distribution behind the obstacle are investigated; the changes in the geometrical parameters describing the eddies with Reynolds number (5 < Re < 40) and with the ratio λ between the diameters of the cylinder and tank are given. A comparison with existing numerical and experimental results is presented and some remarks are made about the calculation techniques proposed up to the present. The limits of the Reynolds-number range for which the twin vortices exist and adhere stably to the cylinder are determined.

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