Effect of coriolis force on acceleration covariance in MHD turbulent flow of a dusty incompressible fluid

1988 ◽  
Vol 150 (1) ◽  
pp. 89-101 ◽  
Author(s):  
N. Kishore ◽  
Yousef Torabi Golsefid
Keyword(s):  
Turbulent Flow ◽  
Incompressible Fluid ◽  
Coriolis Force

scholarly journals A Note on an Analytic Solution for an Incompressible Fluid-Conveying Pipeline System

2017 ◽  
Vol 2017 ◽  
pp. 1-20
Author(s):  
Vincent O. S. Olunloyo ◽  
Charles A. Osheku ◽  
Patrick S. Olayiwola
Keyword(s):  
Incompressible Fluid ◽  
Coriolis Force ◽  
Analytic Solution ◽  
Natural Frequencies ◽  
Integral Transform ◽  
Elastic Beam ◽  
Pipeline System ◽  
Complex Frequency ◽  
Validity Of Results ◽  
Pipeline Segment

This paper presents an integral transform analytic solution to the equations governing a fluid-conveying pipeline segment where a gyroscopic or Coriolis force effect is taken into consideration. The mathematical model idealizes a segment of the pipeline as an elastic beam conveying an incompressible fluid. It is clearly shown that when such a system is supported at both ends and in a free motion, the Coriolis force dissipates no energy (or simply does not work) as it generates conjugate complex vibratory components for all flow velocities. It is demonstrated that the modal natural frequencies can be computed from the algebraic products of the complex frequency pairs. Clearly, the patterns of the characteristics of the system’s natural frequencies are seen partly when the real and imaginary components are plotted, as widely seen in the literature. Nonetheless, results from this study revealed that a continuity profile exists to connect the subcritical, critical, and postcritical vibratory behaviours when the absolute values are plotted for any velocity. In the meantime, the efficacy and versatility of this method against the usual assumed spatial or temporal modal solutions are demonstrated by confirming the predictions and validity of results of earlier workers such as Paidoussis, Ziegler, and others where pre- and postdivergence behaviours are exhibited.

Calculation of turbulent flow of an incompressible fluid in a circular tube with suction through porous walls

1983 ◽  
Vol 17 (4) ◽  
pp. 559-564 ◽  
Author(s):  
V. M. Eroshenko ◽  
A. V. Ershov ◽  
L. I. Zaichik
Keyword(s):  
Turbulent Flow ◽  
Incompressible Fluid ◽  
Circular Tube ◽  
Porous Walls

Paper 6: Turbulent Lubrication Theory Applied to Fluid Film Bearing Design

1969 ◽  
Vol 184 (12) ◽  
pp. 40-47 ◽  
Author(s):  
C. M. Taylor
Keyword(s):  
Turbulent Flow ◽  
Incompressible Fluid ◽  
Thrust Bearing ◽  
Lubrication Theory ◽  
Fluid Film ◽  
Finite Width ◽  
Flow Conditions ◽  
Bearing Design ◽  
Turbulent Flow Conditions

The fluid film bearing designer is encountering situations of turbulent lubrication with ever-increasing regularity. This paper is not concerned with the fundamentals of turbulent lubrication but more with an assessment of the methods available to the bearing designer for the examination of turbulent flow conditions and with the effect of turbulence. The two main ‘engineering’ approaches to turbulence are delineated and their quantitative predictions compared for the case of a finite width plane inclined slider thrust bearing hydrodynamically lubricated with an isoviscous incompressible fluid.

The Special Form of Second Order Accuracy N-S Equations for Incompressible Fluid

2014 ◽  
Vol 644-650 ◽  
pp. 1644-1647
Author(s):  
Zhan Song Li ◽  
Shi Jiang Zhu
Keyword(s):  
Laminar Flow ◽  
Turbulent Flow ◽  
Incompressible Fluid ◽  
Special Form ◽  
Higher Order ◽  
Second Order ◽  
Time And Space ◽  
Order Accuracy ◽  
First Order

Classic N-S equation has first order accuracy in both of time and space. It has only the terms of first order, without the terms of second or higher order. These terms are relative in time and space steps. The time and space steps, as basic elements of fluid research, should be only some finite quantities and not be infinitely near to zero as defined in mathematics. If the terms of second or higher order can be ignored depends on the value of the corresponding derivative multiplied. Compared with terms of first order, the terms of second or higher order can be ignored under the condition of laminar flow. However, under the condition of turbulent flow, these can’t be ignored yet. When turbulent flow develops fully, the terms of first order, compared with terms of second order, can be ignored. So, it is why classic N-S equations aren’t closed when they are used to analyze turbulent flow. On the basic, many different special forms of the second order accuracy N-S equations of incompressible fluid are derived.

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