Journal ArticleDOI
Numerical solutions for steady flow past a circular cylinder at Reynolds numbers up to 100
S. C. R. Dennis,Gau-Zu Chang +1 more
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In this article, a finite-difference solution of the equations of motion for steady incompressible flow around a circular cylinder has been obtained for a range of Reynolds numbers from R = 5 to R = 100, where the wake length increases linearly with R over the whole range from the value, just below R = 7, at which it first appears.Abstract:
Finite-difference solutions of the equations of motion for steady incompressible flow around a circular cylinder have been obtained for a range of Reynolds numbers from R = 5 to R = 100. The object is to extend the Reynolds number range for reliable data on the steady flow, particularly with regard to the growth of the wake. The wake length is found to increase approximately linearly with R over the whole range from the value, just below R = 7, at which it first appears. Calculated values of the drag coefficient, the angle of separation, and the pressure and vorticity distributions over the cylinder surface are presented. The development of these properties with Reynolds number is consistent, but it does not seem possible to predict with any certainty their tendency as R → ∞. The first attempt to obtain the present results was made by integrating the time-dependent equations, but the approach to steady flow was so slow at higher Reynolds numbers that the method was abandoned.read more
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A numerical solution of the Navier-Stokes equations using the finite element technique
C. Taylor,Paul Hood +1 more
TL;DR: In this paper, two methods of finite element discretisation are presented, and a comparison of the effeciency of the methods associated with the solution of particular problems is made.
Journal ArticleDOI
Regular Article: An Accurate Cartesian Grid Method for Viscous Incompressible Flows with Complex Immersed Boundaries
TL;DR: A Cartesian grid method has been developed for simulating two-dimensional unsteady, viscous, incompressible flows with complex immersed boundaries and the ability of the solver to simulate flows with very complicated immersed boundaries is demonstrated.
Journal ArticleDOI
Application of generalized differential quadrature to solve two-dimensional incompressible navier-stokes equations
Chang Shu,Bryan E. Richards +1 more
TL;DR: In this paper, a global method of generalised differential quadrature is applied to solve the two-dimensional incompressible Navier-Stokes equations in the vorticity-stream-function formulation.
Journal ArticleDOI
Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder
M. Braza,P. Chassaing,H. Ha Minh +2 more
TL;DR: In this paper, the authors investigated the dynamic characteristics of the pressure and velocity fields of the unsteady incompressible laminar wake behind a circular cylinder, and the initiation mechanism for vortex shedding and evaluation of the body forces are presented for Reynolds-number values of 100, 200 and 1000.
References
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Journal ArticleDOI
Experiments on the flow past a circular cylinder at low Reynolds numbers
TL;DR: In this article, the authors describe measurements of the drag on circular cylinders, made by observing the bending of quartz fibres, in a stream with the Reynolds number range 0·5-100.
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On steady laminar flow with closed streamlines at large Reynolds number
TL;DR: In this article, it is shown that if the motion is to be exactly steady there is an integral condition, arising from the existence of viscous forces, which must be satisfied by the vorticity distribution no matter how small the viscosity may be.
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III.—On a Quadrature Formula for Trigonometric Integrals.
TL;DR: In this article, the authors present a quadrature algorithm for the integral form where ψ(x) is a function with a limited number of turning points in the range of integration and k is a constant which may take up large values.
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The flow past circular cylinders at low speeds
TL;DR: In this paper, the authors deal mainly with calculations and experiments on the flow past circular cylinders, but the arithmetical methods of solution of the equations of steady viscous flow proposed and used in Section I, are applicable to other equations.