Author: Robert Leigh Underwood
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 112
Book Description
An accurate description of the flow field about a cylinder is found possible with a semi-analytical solution of the full Navier-Stokes equations. The method of series truncation is employed to reduce the governing partial differential equations of motion to a system of ordinary differential equations which can be integrated numerically. This method, which has been applied to the hypersonic blunt-body problem by previous investigators with great success, is essentially a successive-approximation procedure which treats an elliptic partial differential equation as if it were parabolic or hyperbolic. The dependent variable is expanded in one co-ordinate, and backward influence in the resultant system of ordinary differential equations is prevented by series curtailment. Results are given for Reynolds numbers between 0.4 and 10.0 (based on diameter); however, the method can be applied to both higher and lower Reynolds numbers without modification. An accurate prediction of the Reynolds number at which separation first occurs behind the circular cylinder is made; this separation Reynolds number is found to be 5.75. Over the entire Reynolds-number range investigated, characteristic flow parameters such as the drag coefficient, pressure coefficient, standing-eddy length, and streamline pattern compare favorably with available experimental data and numerical-solution results. It is concluded that the semi-analytical method of series truncation permits accurate determination of the flow field about a circular cylinder at moderate Reynolds numbers without resorting either to full-numerical solution or to experiment. (Author).
The Viscous Incompressible Flow Past a Circular Cylinder at Moderate Reynolds Numbers
Author: Robert Leigh Underwood
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 112
Book Description
An accurate description of the flow field about a cylinder is found possible with a semi-analytical solution of the full Navier-Stokes equations. The method of series truncation is employed to reduce the governing partial differential equations of motion to a system of ordinary differential equations which can be integrated numerically. This method, which has been applied to the hypersonic blunt-body problem by previous investigators with great success, is essentially a successive-approximation procedure which treats an elliptic partial differential equation as if it were parabolic or hyperbolic. The dependent variable is expanded in one co-ordinate, and backward influence in the resultant system of ordinary differential equations is prevented by series curtailment. Results are given for Reynolds numbers between 0.4 and 10.0 (based on diameter); however, the method can be applied to both higher and lower Reynolds numbers without modification. An accurate prediction of the Reynolds number at which separation first occurs behind the circular cylinder is made; this separation Reynolds number is found to be 5.75. Over the entire Reynolds-number range investigated, characteristic flow parameters such as the drag coefficient, pressure coefficient, standing-eddy length, and streamline pattern compare favorably with available experimental data and numerical-solution results. It is concluded that the semi-analytical method of series truncation permits accurate determination of the flow field about a circular cylinder at moderate Reynolds numbers without resorting either to full-numerical solution or to experiment. (Author).
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 112
Book Description
An accurate description of the flow field about a cylinder is found possible with a semi-analytical solution of the full Navier-Stokes equations. The method of series truncation is employed to reduce the governing partial differential equations of motion to a system of ordinary differential equations which can be integrated numerically. This method, which has been applied to the hypersonic blunt-body problem by previous investigators with great success, is essentially a successive-approximation procedure which treats an elliptic partial differential equation as if it were parabolic or hyperbolic. The dependent variable is expanded in one co-ordinate, and backward influence in the resultant system of ordinary differential equations is prevented by series curtailment. Results are given for Reynolds numbers between 0.4 and 10.0 (based on diameter); however, the method can be applied to both higher and lower Reynolds numbers without modification. An accurate prediction of the Reynolds number at which separation first occurs behind the circular cylinder is made; this separation Reynolds number is found to be 5.75. Over the entire Reynolds-number range investigated, characteristic flow parameters such as the drag coefficient, pressure coefficient, standing-eddy length, and streamline pattern compare favorably with available experimental data and numerical-solution results. It is concluded that the semi-analytical method of series truncation permits accurate determination of the flow field about a circular cylinder at moderate Reynolds numbers without resorting either to full-numerical solution or to experiment. (Author).
Numerical Study of a Viscous Fluid Past a Circular Cylinder
Author: Mitutosi Kawaguti
Publisher:
ISBN:
Category : Cylinders
Languages : en
Pages : 52
Book Description
A systematic numerical study of the unsteady viscous incompressible fluid flow past a circular cylinder is reported. The range of the Reynolds number considered is 1 to 100. The steady state solutions could be obtained at the Reynolds numbers R = 10, 20, 30, 40, 50 as the limit of the unsteady state solutions. The numerical results are compared with those for the steady problem and they are found to be in agreement. Dependency on the Reynolds number and the time of the flow pattern, vorticity distribution, pressure distribution and the drag are shown. (Author).
Publisher:
ISBN:
Category : Cylinders
Languages : en
Pages : 52
Book Description
A systematic numerical study of the unsteady viscous incompressible fluid flow past a circular cylinder is reported. The range of the Reynolds number considered is 1 to 100. The steady state solutions could be obtained at the Reynolds numbers R = 10, 20, 30, 40, 50 as the limit of the unsteady state solutions. The numerical results are compared with those for the steady problem and they are found to be in agreement. Dependency on the Reynolds number and the time of the flow pattern, vorticity distribution, pressure distribution and the drag are shown. (Author).
Numerical Solutions of the Navier-Stokes Equations for the Steady Viscous Incompressible Flow Around a Rotating Circular Cylinder
Author: Vithalbhai Ambalal Patel
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 186
Book Description
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 186
Book Description
Finite Element Approach to Viscous Incompressible Flow Around a Circular Cylinder
Author: Ciro William Lucchi
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 158
Book Description
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 158
Book Description
The Steady Flow of Viscous Incompressible Fluids Past Spheres and Circular Cylinders at Low Reynolds Numbers
Author: D. L. Scott Hutton
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Viscous Incompressible Flow for Low Reynolds Numbers
Author: Mirela Kohr
Publisher: WIT Press (UK)
ISBN:
Category : Science
Languages : en
Pages : 456
Book Description
This book presents the fundamental mathematical theory of, and reviews state-of-the-art advances in, low Reynolds number viscous incompressible flow. The authors devote much of the text to the development of boundary integral methods for slow viscous flow pointing out new and important results.
Publisher: WIT Press (UK)
ISBN:
Category : Science
Languages : en
Pages : 456
Book Description
This book presents the fundamental mathematical theory of, and reviews state-of-the-art advances in, low Reynolds number viscous incompressible flow. The authors devote much of the text to the development of boundary integral methods for slow viscous flow pointing out new and important results.
Incompressible Viscous Flow Past a Slender Elliptic Cylinder at Low and Moderate Reynolds Numbers
Author: William Hugh Frey
Publisher:
ISBN:
Category : Cylinders
Languages : en
Pages : 294
Book Description
Publisher:
ISBN:
Category : Cylinders
Languages : en
Pages : 294
Book Description
A Numerical Study of Steady Viscous Flow Past a Finite Number of Circular Cylinders at Low Reynolds Numbers
Author: Dora Bt Abdullah
Publisher:
ISBN:
Category :
Languages : en
Pages : 318
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 318
Book Description
Theory and Applications of Viscous Fluid Flows
Author: Radyadour Kh. Zeytounian
Publisher: Springer Science & Business Media
ISBN: 3662104474
Category : Science
Languages : en
Pages : 498
Book Description
This book closes the gap between standard undergraduate texts on fluid mechanics and monographical publications devoted to specific aspects of viscous fluid flows. Each chapter serves as an introduction to a special topic that will facilitate later application by readers in their research work.
Publisher: Springer Science & Business Media
ISBN: 3662104474
Category : Science
Languages : en
Pages : 498
Book Description
This book closes the gap between standard undergraduate texts on fluid mechanics and monographical publications devoted to specific aspects of viscous fluid flows. Each chapter serves as an introduction to a special topic that will facilitate later application by readers in their research work.
The Steady Flow of a Viscous Fluid Past a Circular Cylinder at Reynolds Numbers 40 and 44
Author: Aeronautical Research Council (Great Britain)
Publisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 28
Book Description
Publisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 28
Book Description