Author: E. H. Wedemeyer
Publisher:
ISBN:
Category :
Languages : en
Pages : 38
Book Description
A theoretical analysis is given of the unsteady flow within a liquid- filled cylinder of finite length, which is started impulsively to spin about its axis. It is established that a secondary flow, which is caused by the cylinder ends, has a remarkable effect on the generation of spin in the liquid. The theoretical results are compared with experimental observations and good agreement is found.
The Unsteady Flow Within a Spinning Cylinder
Author: E. H. Wedemeyer
Publisher:
ISBN:
Category :
Languages : en
Pages : 38
Book Description
A theoretical analysis is given of the unsteady flow within a liquid- filled cylinder of finite length, which is started impulsively to spin about its axis. It is established that a secondary flow, which is caused by the cylinder ends, has a remarkable effect on the generation of spin in the liquid. The theoretical results are compared with experimental observations and good agreement is found.
Publisher:
ISBN:
Category :
Languages : en
Pages : 38
Book Description
A theoretical analysis is given of the unsteady flow within a liquid- filled cylinder of finite length, which is started impulsively to spin about its axis. It is established that a secondary flow, which is caused by the cylinder ends, has a remarkable effect on the generation of spin in the liquid. The theoretical results are compared with experimental observations and good agreement is found.
Oscillations of a Liquid in a Rotating Cylinder: Part 2. Spin-up
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 54
Book Description
The unsteady motion of a fluid which fills a cylindrical container in a spinning projectile is considered. The spin is imparted impulsively to the cylinder and spin-up of the fluid is the basic flow which is perturbed to study the waves in the rotating fluid. The core flow is perturbed, not the Ekman layer flow. This is called the spin-up eigenvalue problem which is solved with modal solutions. Viscous perturbations are needed because of the boundary layer and critical layer. A numerical method of solution is given and several results shown. There are two times at which projectile instability might occur. The results of the theory and method are validated by comparison with experimental results.
Publisher:
ISBN:
Category :
Languages : en
Pages : 54
Book Description
The unsteady motion of a fluid which fills a cylindrical container in a spinning projectile is considered. The spin is imparted impulsively to the cylinder and spin-up of the fluid is the basic flow which is perturbed to study the waves in the rotating fluid. The core flow is perturbed, not the Ekman layer flow. This is called the spin-up eigenvalue problem which is solved with modal solutions. Viscous perturbations are needed because of the boundary layer and critical layer. A numerical method of solution is given and several results shown. There are two times at which projectile instability might occur. The results of the theory and method are validated by comparison with experimental results.
Some Experiments with Liquid-filled, Impulsively Started, Spinning Cylinder
Numerical Simulation of Unsteady Incompressible Flow in a Partially-Filled Rotating Cylinder
Author: Michael J. Nusca
Publisher:
ISBN:
Category :
Languages : en
Pages : 58
Book Description
The liquid flowfield in a full or partially-filled right circular cylinder in rapid axial rotation is investigated numerically. The governing equations ar the axisymmetric, unsteady, viscous, incompressible Navier-Stokes equations. These equations are written in stream function-vorticity form for a cylindrical coordinate system in a nonrotating reference frame. The governing equations are discretized using second-order finite-differences for time and space on a nonuniform grid employing logarithmic stretching in regions where high flow gradients are anticipated. Time dependent solutions for Reynolds numbers between 1,000 and 100,000 have been obtained using a Gauss-Seidel relaxation procedure. For partially filled cases the free surface is assumed to be cylindrical and located at a constant radius from the axis of spin. Numerical solutions for full cylinders are consistent with previous solutions and experimental data. Numerical solutions for a partially-filled cylinder are consistent with experimental data for a liquid centrifuge except at the free surface. Computations of the roll moment exerted on the cylinder by the contained liquid shows a smaller moment for the partially-filled compared with the full cylinder results. Keywords: Finite difference, Incompressible flow, Liquid filled projectile, Liquid moment, Unsteady flow, Rotating liquids. (MJM).
Publisher:
ISBN:
Category :
Languages : en
Pages : 58
Book Description
The liquid flowfield in a full or partially-filled right circular cylinder in rapid axial rotation is investigated numerically. The governing equations ar the axisymmetric, unsteady, viscous, incompressible Navier-Stokes equations. These equations are written in stream function-vorticity form for a cylindrical coordinate system in a nonrotating reference frame. The governing equations are discretized using second-order finite-differences for time and space on a nonuniform grid employing logarithmic stretching in regions where high flow gradients are anticipated. Time dependent solutions for Reynolds numbers between 1,000 and 100,000 have been obtained using a Gauss-Seidel relaxation procedure. For partially filled cases the free surface is assumed to be cylindrical and located at a constant radius from the axis of spin. Numerical solutions for full cylinders are consistent with previous solutions and experimental data. Numerical solutions for a partially-filled cylinder are consistent with experimental data for a liquid centrifuge except at the free surface. Computations of the roll moment exerted on the cylinder by the contained liquid shows a smaller moment for the partially-filled compared with the full cylinder results. Keywords: Finite difference, Incompressible flow, Liquid filled projectile, Liquid moment, Unsteady flow, Rotating liquids. (MJM).
Apparatus for Study of Fluid Motion in a Spinning Cylinder
Author: Harold M. Stoller
Publisher:
ISBN:
Category : Fluid mechanics
Languages : en
Pages : 42
Book Description
Publisher:
ISBN:
Category : Fluid mechanics
Languages : en
Pages : 42
Book Description
Hydrodynamics Around Cylindrical Structures
Author: Jorgen Fredsoe
Publisher: World Scientific
ISBN: 981449805X
Category :
Languages : en
Pages : 550
Book Description
This book discusses the subject of wave/current flow around a cylinder, the forces induced on the cylinder by the flow, and the vibration pattern of slender structures in a marine environment.The primary aim of the book is to describe the flow pattern and the resulting load which develops when waves or current meet a cylinder. Attention is paid to the special case of a circular cylinder. The development in the forces is related to the various flow patterns and is discussed in detail. Regular as well as irregular waves are considered, and special cases like wall proximities (pipelines) are also investigated.The book is intended for MSc students with some experience in basic fluid mechanics and for PhD students.
Publisher: World Scientific
ISBN: 981449805X
Category :
Languages : en
Pages : 550
Book Description
This book discusses the subject of wave/current flow around a cylinder, the forces induced on the cylinder by the flow, and the vibration pattern of slender structures in a marine environment.The primary aim of the book is to describe the flow pattern and the resulting load which develops when waves or current meet a cylinder. Attention is paid to the special case of a circular cylinder. The development in the forces is related to the various flow patterns and is discussed in detail. Regular as well as irregular waves are considered, and special cases like wall proximities (pipelines) are also investigated.The book is intended for MSc students with some experience in basic fluid mechanics and for PhD students.
ASME 68-FE-13
Author: H. Goller
Publisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 8
Book Description
Publisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 8
Book Description
An Experimental Study of Steady Flow in a Partially-filled Rotating Cylinder
Author: Richard Dulany Whiting
Publisher:
ISBN:
Category :
Languages : en
Pages : 282
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 282
Book Description
Hydrodynamics of Suspensions
Author: Marius Ungarish
Publisher: Springer Science & Business Media
ISBN: 3662016516
Category : Technology & Engineering
Languages : en
Pages : 325
Book Description
Attention is focused on a suspension of buoyant particles (or droplets) in acontinuous fluid. In the presence of a force field, gravitational or centrifugal, and exposed to ordinary boundary constraints, a variety of fascinating flows can be obtained. These motions are essential ingre- dients in the widely used separation technology, where im- provedand new designs may be beneficial, but they are also interesting from a broader, academic point of view. In these respects, the recent investigations on these flows patterns, their underlying mechanisms and mathematical modeling - have accrued to a significant, relevant body of knowledge. The main objective of this book is to summarize - in a systematic, coherent and consistent fashion - the theoretical up to date contributions which seem fundamental in understanding, simulation and development of the subject.
Publisher: Springer Science & Business Media
ISBN: 3662016516
Category : Technology & Engineering
Languages : en
Pages : 325
Book Description
Attention is focused on a suspension of buoyant particles (or droplets) in acontinuous fluid. In the presence of a force field, gravitational or centrifugal, and exposed to ordinary boundary constraints, a variety of fascinating flows can be obtained. These motions are essential ingre- dients in the widely used separation technology, where im- provedand new designs may be beneficial, but they are also interesting from a broader, academic point of view. In these respects, the recent investigations on these flows patterns, their underlying mechanisms and mathematical modeling - have accrued to a significant, relevant body of knowledge. The main objective of this book is to summarize - in a systematic, coherent and consistent fashion - the theoretical up to date contributions which seem fundamental in understanding, simulation and development of the subject.
The Dynamics of Rotating Fluids
Author: P A Davidson
Publisher: Oxford University Press
ISBN: 0198886306
Category : Mathematics
Languages : en
Pages : 529
Book Description
This textbook on rotating fluid dynamics combines a pedagogical development of theoretical ideas with a description and analysis of many of the fascinating examples of rotating flows found in nature. The book is self-contained, starting in Part I with introductory chapters on fluid dynamics and waves. The largest section of the book is Part II, where a broad theoretical framework is developed for rotating flows, including Ekman layers, inertial waves, Taylor columns, Rossby waves, precession, instabilities, rotating convection, vortex breakdown, and rotating turbulence. The book ends, in Part III, with an analysis of some naturally occurring rotating flows, including tornadoes and dust devils, tidal vortices, tropical cyclones, convection in planetary cores, zonal winds in planetary atmospheres, and astrophysical accretion discs. Davidson presents a unique combination of a deep but broad theoretical framework with a detailed discussion of many naturally occurring flows. Moreover, the book places great emphasis on the pedagogical development of theoretical ideas and the physical insight that brings.
Publisher: Oxford University Press
ISBN: 0198886306
Category : Mathematics
Languages : en
Pages : 529
Book Description
This textbook on rotating fluid dynamics combines a pedagogical development of theoretical ideas with a description and analysis of many of the fascinating examples of rotating flows found in nature. The book is self-contained, starting in Part I with introductory chapters on fluid dynamics and waves. The largest section of the book is Part II, where a broad theoretical framework is developed for rotating flows, including Ekman layers, inertial waves, Taylor columns, Rossby waves, precession, instabilities, rotating convection, vortex breakdown, and rotating turbulence. The book ends, in Part III, with an analysis of some naturally occurring rotating flows, including tornadoes and dust devils, tidal vortices, tropical cyclones, convection in planetary cores, zonal winds in planetary atmospheres, and astrophysical accretion discs. Davidson presents a unique combination of a deep but broad theoretical framework with a detailed discussion of many naturally occurring flows. Moreover, the book places great emphasis on the pedagogical development of theoretical ideas and the physical insight that brings.