Steady Laminar Flows Between a Ball and a Spherical Cavity

1984 ◽  
Vol 51 (1) ◽  
pp. 6-12
Author(s):  
D. Bellet ◽  
D. P. Ly ◽  
M. Milleret
Keyword(s):  
Finite Element ◽  
Experimental Method ◽  
Newtonian Fluid ◽  
Spherical Cavity ◽  
Laser Doppler Anemometry ◽  
Reynolds Numbers ◽  
Laminar Flows ◽  
Element Calculation ◽  
Spherical Ball ◽  
Steady Laminar

Steady laminar flows of a newtonian fluid in the vicinity of a spherical ball located inside a spherical cavity are studied. Two methods were employed: a method involving a finite element calculation and an experimental method based on measurements of local velocities by means of laser Doppler anemometry using the Bragg cell. The influences of the Reynolds numbers and of the ball positions in the cavity have been analyzed and compared.

scholarly journals Planar flows past thin multi-blade configurations

1996 ◽  
Vol 324 ◽  
pp. 355-377 ◽  
Author(s):  
F. T. Smith ◽  
S. N. Timoshin
Keyword(s):  
Boundary Layer ◽  
Numerical Solutions ◽  
Reynolds Numbers ◽  
Laminar Flows ◽  
Two Dimensional ◽  
Boundary Layer Equations ◽  
Require Solution ◽  
Lift And Drag ◽  
Planar Flows ◽  
Steady Laminar

Two-dimensional steady laminar flows past multiple thin blades positioned in near or exact sequence are examined for large Reynolds numbers. Symmetric configurations require solution of the boundary-layer equations alone, in parabolic fashion, over the successive blades. Non-symmetric configurations in contrast yield a new global inner–outer interaction in which the boundary layers, the wakes and the potential flow outside have to be determined together, to satisfy pressure-continuity conditions along each successive gap or wake. A robust computational scheme is used to obtain numerical solutions in direct or design mode, followed by analysis. Among other extremes, many-blade analysis shows a double viscous structure downstream with two streamwise length scales operating there. Lift and drag are also considered. Another new global interaction is found further downstream. All the interactions involved seem peculiar to multi-blade flows.

scholarly journals Some observations regarding steady laminar flows past bluff bodies

2014 ◽  
Vol 372 (2020) ◽  
pp. 20130353 ◽  
Author(s):  
Bengt Fornberg ◽  
Alan R. Elcrat
Keyword(s):  
Numerical Methods ◽  
Flow Regimes ◽  
Reynolds Numbers ◽  
Laminar Flows ◽  
Bluff Bodies ◽  
The Past ◽  
High Reynolds Numbers ◽  
High Reynolds ◽  
Steady Laminar

Steady laminar flows past simple objects, such as a cylinder or a sphere, have been studied for well over a century. Theoretical, experimental and numerical methods have all contributed fundamentally towards our understanding of the resulting flows. This article focuses on developments during the past few decades, when mostly numerical and asymptotical advances have provided insights also for steady, although unstable, high-Reynolds-numbers flow regimes.

Finite Element Analysis of Tianerya Trench-Buried Inverted Siphon

2013 ◽  
Vol 804 ◽  
pp. 320-324
Author(s):  
Xiang Zan Xie
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Finite Element Calculation ◽  
Construction Process ◽  
Element Calculation ◽  
Element Analysis ◽  
Operational Process ◽  
Inverted Siphon ◽  
Calculation Results ◽  
Calculation Software

This paper adopts universal finite element calculation software to carry out finite element analysis for Tianerya trench-buried inverted siphon. Researching variation law of the inverted siphons stress and displacement in construction process and operational process. The calculation results further shown design schemes rationality and safety. The analysis results provide a certain reference for design of trench-buried inverted siphon structure.

scholarly journals Analytical solution of settling behavior of a particle in incompressible Newtonian fluid by using Parameterized Perturbation Method

2014 ◽  
Vol 33 (2) ◽  
pp. 145-160
Author(s):  
Reza Mohammadyari ◽  
Mazaher Rahimi Esboee ◽  
Majid Rahgoshay
Keyword(s):  
Perturbation Method ◽  
Newtonian Fluid ◽  
Mass Term ◽  
Reynolds Numbers ◽  
Added Mass ◽  
Unsteady Motion ◽  
High Rate ◽  
Settling Behavior ◽  
Analytical Expressions ◽  
Parameterized Perturbation Method

The problem of solid particle settling is a well known problem in mechanic of fluids. The parametrized Perturbation Method is applied to analytically solve the unsteady motion of a spherical particle falling in a Newtonian fluid using the drag of the form given by Oseen/Ferreira, for a range of Reynolds numbers. Particle equation of motion involved added mass term and ignored the Basset term. By using this new kind of perturbation method called parameterized perturbation method (PPM), analytical expressions for the instantaneous velocity, acceleration and position of the particle were derived. The presented results show the effectiveness of PPM and high rate of convergency of the method to achieve acceptable answers.

Sign in / Sign up

Export Citation Format

Share Document