2 edition of Viscous fluid motion in eccentric cylinders. found in the catalog.
Viscous fluid motion in eccentric cylinders.
Dio Lewis Holl
Written in English
|LC Classifications||QA929 .H64|
|The Physical Object|
|Number of Pages||26|
|LC Control Number||76291480|
A viscous fluid is contained in the space between concentric cylinders. The inner wall is fixed, and the outer wall rotates with an angular velocity ω. (See Fig. P a and Video V) Assume that the velocity distribution in the gap is linear as illustrated in Fig. Pb%(44). This paper is concerned with the nonlinear stability of the flow between two long eccentric rotating cylinders. The problem, which is of interest in lubrication technology, is an extension both of the authors’ earlier work on the linear eccentric case and of still earlier work by Davey and others on the nonlinear concentric analysis of Taylor-vortex by:
The steady motion of a viscous fluid contained between two concentric spheres which rotate about a common axis with different angular velocities is considered. A high-order analytic perturbation solution, through terms of order Re 7, is obtained for low Reynolds numbers. For larger Reynolds numbers an approximate Legendre polynomial series Cited by: Chapter 6|Solution of Viscous-Flow Problems the velocities in order to obtain the velocity gradients; numerical predictions of process variables can also be made. Typesof° broad classes of viscous °ow will be illustrated in this chapter: 1. Poiseuille °ow, in which an applied pressure diﬁerence causes °uid motion between File Size: KB.
Chaotic Motion of Fluid Particles Due to the Alternate Rotations of Two Eccentric Cylinders. Journal of the Physical Society of Japan, Vol. 63, Issue. 5, p. Journal of the Physical Society of Japan, Vol. 63, Issue. 5, p. Cited by: A viscous fluid is contained in the space between concentric cylinders. The inner wall is fixed and the outer wall rotates with an angular velocity w. Assume that the velocity distribution in the gap is linear. See the diagram below. A) Give an expression for .
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This book is a follow-up to the first volume and discusses the concepts of fluid mechanics in detail. The book gives an in-depth summary of the governing equations and their engineering related by: 3.
This book features extensive use of dimensional analysis on both models and variables, and extensive development of theoretically based correlating equations.
The range of applicability of most theoretical solutions is shown to be quite limited; however, in combination they are demonstrated to be more reliable than purely empirical expressions. VISCOUS FLUID FLOW. VISCOUS FLUID FLOW Tasos C.
Papanastasiou Georgios C. Georgiou with the intent of the book. The book is intended for upper-level undergraduate The motion of ﬂuid particles is described by using both Lagrangian and Eulerian descriptions.
The chapter concludes with the local kine. Viscous fluid. Introduction In this paper, numerical simulation of two-dimensional flow around a triangular cylinder subjected to a horizontal oscillating motion is considered in a viscous incompressible fluid. First of all, the history of studying bluff-body subjected to the fluid.
In this research we study the mixing of viscous fluids in a model flow, the eccentric cylinder system. The flow between eccentric rotating cylinders is used because an analytic expression for the stream function exists and we have fabricated an apparatus to experimentally generate the flow.
We use the flow to determine the extent to which several Cited by: 3. In order to predict the stability of a system in a confined flow, the formulae and results of added mass and fluid damping are provided in the present paper when a cylinder undergoes oscillatory motion in the plane of symmetry and normal to the plane of symmetry in an eccentric by: 2.
In the analysis, Fluegge's shell equations of motion and linearized Navier--Stokes equation for viscous fluid are employed. First, a traveling-wave-type solution is taken for shells and fluid. Viscous dissipation of a power law fluid in axial flow between isothermal eccentric cylinders Article in Journal of Non-Newtonian Fluid Mechanics (1).
problem of viscous flow between two eccentric cylinders which are rotating in The result is an approximate analytical solution at large Reynolds numbers to the circular Cylinders whose axes were slightly apart was considered by Wood .
Inthe motion of viscous fluid flow contained between two rotating. For the motion of a cylinder normal to a conducting plane, the presence of the wall causes a reduction in the electrophoretic velocity, which goes to zero as λ → 1. It is found that boundary effects on the electrophoresis of a cylinder are much stronger than for a sphere at the same value of by: A singular perturbation solution of viscous incompressible fluid flow between two eccentric rotating cylinders Article (PDF Available) March with Reads How we measure 'reads'.
The flow of incompressible viscous fluid between two eccentric cylinders under the action of a difference between the pressures imposed at the ends of the cylinders is analyzed.
Using bipolar coordinates, the resulting boundary value problem is solved analytically, and the average flux velocity is calculated for various values of the geometric Cited by: 2.
The viscous fluid flow in a gap between two eccentrically situated circular cylinders, rotating around their fixed axes, was first considered by Zhukovskii in For low Reynolds numbers he obtained a biharmonic equation for the stream function and found an Cited by: 1. The viscous oil in Fig. P is set into steady motion by a concentric inner cylinder moving axially at velocity U inside a fixed outer cylinder.
Assuming constant pressure and density and a purely axial fluid motion, solve Eqs. () for the fluid velocity distribution v z (r). What are the proper boundary conditions. Reference Eqs. %(8). A singular perturbation solution of viscous incompressible fluid flow between two eccentric rotating cylinders.
Abstract. The flow inside two concentric cylinders is one dimensional and an exact solution for quantities is easily found. However, when the cylinders axes are displaced by a small distance, two dimensional effects become by: 1. In [, ], the mixing of a viscous fluid in a thin layer between circular eccentric rotating cylinders embedded one in the other is investigated.
Poincaré points, i.e., positions of fluid. The motion of an incompressible viscous fluid in a thin layer between two circular cylinders, inserted into one another, with parallel axes is investi Cited by: 1. discusses the peristaltic ﬂow of a viscous ﬂuid through eccentric cylinders  To the best of author’s knowledge, the peristaltic ﬂow of non-Newtonian ﬂuid through the eccentric cylinders has not been explored so ∗ Corresponding author e-mail:[email protected], [email protected] c NSP Natural Sciences Publishing Cor.
Viscous fluid flow in the domain between circular cylinders is considered. The fluid flow is initiated by rotational and translational motions of the cylinders. A general analytic expression for the fluid velocity field is constructed using the conformal mapping method and the bipolar coordinates.
The streamline structure is studied for the steady-state by: 2. A concentric cylinder of fluid is chosen as a free body (Fig. Since the laminar motion of fluid is steady, the momentum equation for the flow of fluid through the chosen free body (in the absence of gravitational forces) is, 2 ⎟ 2 − ()=2 0 ⎠ ⎞ ⎜ ⎝ ⎛ ∂ ∂ − + dx r r dx x p π p r p π τ π Which after simplifying File Size: KB.
2. A viscous fluid is contained in the space between concentric cylinders. The inner wall is fixed, and the outer wall rotates with an angular velocity (See Fig.
1a). Assume that the velocity distribution in the gap is linear as illustrated in Fig. 1b. For the small rectangular element shown in Fig. 1b, determine the rate of change of the right File Size: KB.Analysis of the fluid motion in the annular region can be performed on.
Figure 1. Schematic of a Couette viscometer in which the outer cylinder is rotating and the inner cylinder is stationary. (Adapted from Bird et al., ). various levels of complexity, depending upon the choice of viscometer system design andFile Size: KB.Free surface on a simple fluid between rotating eccentric cylinders.
Part I: Analytical solution Article (PDF Available) in Journal of Non-Newtonian Fluid Mechanics 15(1) .