On the Nonlinear Stability of the Unsteady, Viscous Flow of an Incompressible Fluid in a Curved Pipe
Title | On the Nonlinear Stability of the Unsteady, Viscous Flow of an Incompressible Fluid in a Curved Pipe PDF eBook |
Author | National Aeronautics and Space Administration (NASA) |
Publisher | Createspace Independent Publishing Platform |
Pages | 26 |
Release | 2018-07-09 |
Genre | |
ISBN | 9781722455811 |
The stability of the flow of an incompressible, viscous fluid through a pipe of circular cross-section curved about a central axis is investigated in a weakly nonlinear regime. A sinusoidal pressure gradient with zero mean is imposed, acting along the pipe. A WKBJ perturbation solution is constructed, taking into account the need for an inner solution in the vicinity of the outer bend, which is obtained by identifying the saddle point of the Taylor number in the complex plane of the cross-sectional angle co-ordinate. The equation governing the nonlinear evolution of the leading order vortex amplitude is thus determined. The stability analysis of this flow to periodic disturbances leads to a partial differential system dependent on three variables, and since the differential operators in this system are periodic in time, Floquet theory may be applied to reduce this system to a coupled infinite system of ordinary differential equations, together with homogeneous uncoupled boundary conditions. The eigenvalues of this system are calculated numerically to predict a critical Taylor number consistent with the analysis of Papageorgiou. A discussion of how nonlinear effects alter the linear stability analysis is also given, and the nature of the instability determined. Shortis, Trudi A. and Hall, Philip Unspecified Center NAS1-19480; RTOP 505-90-52-01...
On the Nonlinear Stability of the Unsteady, Viscous Flow of an Incompressible Fluid in a Curved Pipe
Title | On the Nonlinear Stability of the Unsteady, Viscous Flow of an Incompressible Fluid in a Curved Pipe PDF eBook |
Author | Trudi A. Shortis |
Publisher | |
Pages | 28 |
Release | 1995 |
Genre | |
ISBN |
Scientific and Technical Aerospace Reports
Title | Scientific and Technical Aerospace Reports PDF eBook |
Author | |
Publisher | |
Pages | 548 |
Release | 1995 |
Genre | Aeronautics |
ISBN |
Scientific and Technical Aerospace Reports
Title | Scientific and Technical Aerospace Reports PDF eBook |
Author | |
Publisher | |
Pages | 610 |
Release | 1995 |
Genre | Aeronautics |
ISBN |
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
I. Stability of the Wake Behind a Flat Plate
Title | I. Stability of the Wake Behind a Flat Plate PDF eBook |
Author | |
Publisher | |
Pages | 646 |
Release | 1986 |
Genre | Viscous flow |
ISBN |
Biology and Mechanics of Blood Flows
Title | Biology and Mechanics of Blood Flows PDF eBook |
Author | Marc Thiriet |
Publisher | Springer Science & Business Media |
Pages | 468 |
Release | 2007-12-20 |
Genre | Science |
ISBN | 0387748490 |
This authoritative book presents the basic knowledge and state-of-the-art techniques necessary to carry out investigations of the cardiovascular system using modeling and simulation. This volume contains chapters on anatomy, physiology, continuum mechanics, as well as pathological changes in the vasculature walls including the heart and their treatments. Methods of numerical simulations are given and illustrated in particular by application to wall diseases.
Nonlinear Stability of Unsteady Viscous Flow
Title | Nonlinear Stability of Unsteady Viscous Flow PDF eBook |
Author | Alric P. Rothmayer |
Publisher | |
Pages | 196 |
Release | 1995 |
Genre | Boundary layer |
ISBN |