scholarly journals TUMBLING MOTION OF ELLIPTICAL PARTICLES IN VISCOUS TWO-DIMENSIONAL FLUIDS

2001 ◽  
Vol 12 (01) ◽  
pp. 127-139 ◽  
Author(s):  
GERALD H. RISTOW
Keyword(s):  
Finite Difference ◽  
Infinite System ◽  
System Size ◽  
Terminal Velocity ◽  
Spherical Particles ◽  
Two Dimensional ◽  
Finite Difference Technique ◽  
Elliptical Particles ◽  
Tumbling Motion ◽  
The One

The settling dynamics of spherical and elliptical particles in a viscous Newtonian fluid are investigated numerically using a finite difference technique. The terminal velocity for spherical particles is calculated for different system sizes and the extrapolated value for an infinite system size is compared to the Oseen approximation. Special attention is given to the settling and tumbling motion of elliptical particles where their terminal velocity is compared with the one of the surface equivalent spherical particle.

AN ITERATIVE NONUNIFORMLY SPACED FINITE DIFFERENCE SCHEME FOR COMPUTATIONAL FLUID DYNAMICS

2001 ◽  
Vol 12 (07) ◽  
pp. 1023-1033
Author(s):  
ANDREAS HORRAS ◽  
GERALD H. RISTOW
Keyword(s):  
Fluid Dynamics ◽  
Computational Fluid Dynamics ◽  
Finite Difference ◽  
Difference Scheme ◽  
Newtonian Fluid ◽  
Finite Difference Scheme ◽  
Infinite System ◽  
System Size ◽  
Terminal Velocity ◽  
Staggered Grid

The settling dynamics of cylinders in a viscous Newtonian fluid are investigated numerically using an iterative finite difference scheme, which uses a nonuniformly spaced staggered grid. Special attention is given to the details of the spatial discretization and how they influence the physical results. The terminal velocity is calculated for different system sizes and cylinder diameters and the extrapolated values for an infinite system size are compared with the Oseen approximation.

Modelling of Moisture Movement in Wood during Outdoor Storage

2001 ◽  
Vol 6 (2) ◽  
pp. 3-14 ◽  
Author(s):  
R. Baronas ◽  
F. Ivanauskas ◽  
I. Juodeikienė ◽  
A. Kajalavičius
Keyword(s):  
Experimental Data ◽  
Finite Difference ◽  
Climatic Conditions ◽  
Two Dimensional ◽  
Moisture Movement ◽  
Finite Difference Technique ◽  
Long Term Storage ◽  
Space Formulation ◽  
Term Storage

A model of moisture movement in wood is presented in this paper in a two-dimensional-in-space formulation. The finite-difference technique has been used in order to obtain the solution of the problem. The model was applied to predict the moisture content in sawn boards from pine during long term storage under outdoor climatic conditions. The satisfactory agreement between the numerical solution and experimental data was obtained.

scholarly journals Unsteady stagnation point flow of a non-Newtonian second-grade fluid

2003 ◽  
Vol 2003 (60) ◽  
pp. 3797-3807 ◽  
Author(s):  
F. Labropulu ◽  
X. Xu ◽  
M. Chinichian
Keyword(s):  
Finite Difference ◽  
Stagnation Point ◽  
Infinite Plate ◽  
Second Grade ◽  
Two Dimensional ◽  
Second Grade Fluid ◽  
Harmonic Oscillations ◽  
Finite Difference Technique ◽  
Two Dimensional Flow ◽  
Grade Fluid

The unsteady two-dimensional flow of a viscoelastic second-grade fluid impinging on an infinite plate is considered. The plate is making harmonic oscillations in its own plane. A finite difference technique is employed and solutions for small and large frequencies of the oscillations are obtained.

scholarly journals An implicit logarithmic finite-difference technique for two dimensional coupled viscous Burgers’ equation

AIP Advances ◽  
2013 ◽  
Vol 3 (12) ◽  
pp. 122105 ◽  
Author(s):  
Vineet K. Srivastava ◽  
Mukesh K. Awasthi ◽  
Sarita Singh
Keyword(s):  
Finite Difference ◽  
Burgers Equation ◽  
Two Dimensional ◽  
Finite Difference Technique

Two-dimensional oblique stagnation-point flow towards a stretching surface in a viscoelastic fluid

Open Physics ◽  
2011 ◽  
Vol 9 (1) ◽  
Author(s):  
Iqbal Husain ◽  
Fotini Labropulu ◽  
Ioan Pop
Keyword(s):  
Partial Differential Equations ◽  
Finite Difference ◽  
Differential Equations ◽  
Stagnation Point ◽  
Shooting Method ◽  
Stagnation Point Flow ◽  
Two Dimensional ◽  
Stretching Surface ◽  
Finite Difference Technique ◽  
Walters B Fluid

AbstractIn this paper, the steady two-dimensional stagnation-point flow of a viscoelastic Walters’ B’ fluid over a stretching surface is examined. It is assumed that the fluid impinges on the wall obliquely. Using similarity variables, the governing partial differential equations are transformed into a set of two non-dimensional ordinary differential equations. These equations are then solved numerically using the shooting method with a finite-difference technique.

SCALING AND FINITE-SIZE EFFECTS FOR THE CRITICAL BACKBONE

Fractals ◽  
2003 ◽  
Vol 11 (supp01) ◽  
pp. 19-27 ◽  
Author(s):  
M. BARTHELEMY ◽  
S. V. BULDYREV ◽  
S. HAVLIN ◽  
H. E. STANLEY
Keyword(s):  
Fractal Dimension ◽  
Probability Distribution ◽  
Size Effects ◽  
Infinite System ◽  
Finite Size ◽  
Multifractal Spectrum ◽  
System Size ◽  
Two Dimensional ◽  
High Current ◽  
Finite Size Effects

In a first part, we study the backbone connecting two given sites of a two-dimensional lattice separated by an arbitrary distance r in a system of size L. We find a scaling form for the average backbone mass and we also propose a scaling form for the probability distribution P(MB) of backbone mass for a given r. For r ≈ L, P(MB) is peaked around LdB, whereas for r ≪ L, P(MB) decreases as a power law, [Formula: see text], with τB ≃ 1.20 ± 0.03. The exponents ψ and τB satisfy the relation ψ = dB(τB - 1), and ψ is the codimension of the backbone, ψ = d - dB. In a second part, we study the multifractal spectrum of the current in the two-dimensional random resistor network at the percolation threshold. Our numerical results suggest that in the infinite system limit, the probability distribution behaves for small i as P(i) ~ 1/i where i is the current. As a consequence, the moments of i of order q ≤ qc = 0 diverge with system size, and all sets of bonds with current values below the most probable one have the fractal dimension of the backbone. Hence we hypothesize that the backbone can be described in terms of only (i) blobs of fractal dimension dB and (ii) high current carrying bonds of fractal dimension going from d red to dB, where d red is the fractal dimension of the red bonds carrying the maximal current.

The Structure Modeling of Material Composed of the Orthotropic Crystals

2004 ◽  
Vol 9 (4) ◽  
pp. 297-306
Author(s):  
J. Dabulytė ◽  
F. Ivanauskas ◽  
V. Skakauskas ◽  
R. Barauskas
Keyword(s):  
Finite Difference ◽  
Numerical Investigation ◽  
Rectangular Plate ◽  
Composite Medium ◽  
Structure Modeling ◽  
Random Orientation ◽  
Finite Difference Technique ◽  
Elastic Composite ◽  
The One ◽  
Gauss Distribution

In this paper the model of a elastic composite medium which consists of a matrix containing a set of orthotropic crystals with the random orientation of the anisotropy axes is presented. The axes orientation is described by the Gauss distribution. The numerical investigation is proposed for rectangular plate, when the normal strains are given in the one side. Other sides are free of strain. The finite - difference technique is used for model discretization.

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