On the Stability of Viscous Flow Between Rotating Cylinders. Ii. Numerical Analysis
Author: D. L. HARRIS
Publisher:
Published: 1962
Total Pages: 1
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: D. L. HARRIS
Publisher:
Published: 1962
Total Pages: 1
ISBN-13:
DOWNLOAD EBOOKAuthor: Ronald Lee Duty
Publisher:
Published: 1961
Total Pages: 1
ISBN-13:
DOWNLOAD EBOOKThe stability of Couette flow is discussed in the case in which the cylinders rotate in opposite directions by an asymptotic method in which the Taylor number is treated as a large parameter. On assuming the principle of exchange of stabilities to hold, the problem is then governed by a sixth-order differential equation with a simple turning point. It is then shown how the solutions of this equation can be represented asymptotically in terms of the solutions of a basic reference equation. The solutions of this basic reference equation have recently been tabulated; this is an explicit representation of the solution of the stability problem in terms of tabulated functions. Detailed results for the critical Taylor number and wave-number at the onset of instability and the associated eigenfunctions are given for a limiting case. In this case there exists an infinite number of cells between the cylinders but that the amplitude of the secondary motion in all but the innermost cell is small. (Author).
Author: Jitender Singh
Publisher: LAP Lambert Academic Publishing
Published: 2010-07
Total Pages: 116
ISBN-13: 9783838384696
DOWNLOAD EBOOKIn this thesis, we have discussed numerically, the stability of an incompressible flow of a ferrofluid in an annular space between two coaxial rotating cylinders of infinite aspect ratio, in the presence of an axial magnetic field. The system is described by modified Navier-Stokes equation, equation of continuity, Maxwell-equations, and Shliomis s equation of ferrofluid magnetization. The mathematical model of the physical system, leads to a two-point boundary value problem that has been solved with help of numerical methods. The onset of axisymmetric and non-axisymmetric Taylor vortices, has been discussed. Effect of superposition of radial flow has also been discussed. Also considered is the parametric instability arising as a result of applying periodically oscillating magnetic field to the system.
Author: Ronald Lee Duty
Publisher:
Published: 1961
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOKAuthor: Paul L. Chambré
Publisher:
Published: 1951
Total Pages: 186
ISBN-13:
DOWNLOAD EBOOKAuthor: Helene Enid Steinman
Publisher:
Published: 1955
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: T. H. Hughes
Publisher:
Published: 1962
Total Pages: 54
ISBN-13:
DOWNLOAD EBOOKAuthor: Ronald Lee Duty
Publisher:
Published: 1962
Total Pages: 12
ISBN-13:
DOWNLOAD EBOOKAuthor: H.L. Swinney
Publisher: Springer
Published: 2014-03-12
Total Pages: 306
ISBN-13: 9783662309360
DOWNLOAD EBOOKAuthor: Richard C. DiPrima
Publisher:
Published: 1960
Total Pages: 38
ISBN-13:
DOWNLOAD EBOOK