INVERSE DETERMINATION OF THERMAL CONDUCTIVITY IN TWO-DIMENSIONAL DOMAINS USING FINITE - DIFFERENCE TECHNIQUE

1998 ◽  
Author(s):  
Partha S. Ghoshdastidar ◽  
Basant Kumar Ray
Keyword(s):  
Thermal Conductivity ◽  
Finite Difference ◽  
Two Dimensional ◽  
Finite Difference Technique

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.

Stresses at the Intersection of Sphere and Cylinder by a Variant Finite-Difference Method

1974 ◽  
Vol 41 (3) ◽  
pp. 744-752 ◽  
Author(s):  
Mustafa Hassan Fayed
Keyword(s):  
Finite Difference ◽  
The Body ◽  
Simultaneous Equations ◽  
Discrete Problem ◽  
Internal Point ◽  
Governing Equations ◽  
Finite Difference Technique ◽  
Taylor Series Expansions ◽  
Continuous Problem

The aim of this paper is the determination of stresses at the intersection of cylinder with the sphere using a variant finite-difference technique. Mesh lines are drawn on the cross section of the body which are roughly parallel and perpendicular to the boundary, and which the author calls natural meshes. Discretization of the governing differential equations must be carried out to reduce the continuous problem to a discrete problem, this discretization converts the problem into a set of linear simultaneous equations for the functions under consideration at a set of mesh points. The derivatives to be inserted in the governing equations and boundary conditions are found by writing Taylor series expansions at a point in terms of five neighboring points in the case where the point is an internal point (four for a boundary point). By an elimination process the derivatives can be eliminated for each point, and we are left with the unknown functions only.

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.

Finite difference method for solving crack problems in a functionally graded material

SIMULATION ◽  
2018 ◽  
Vol 95 (10) ◽  
pp. 941-953 ◽  
Author(s):  
A Dorogoy
Keyword(s):  
Finite Difference ◽  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Solution Technique ◽  
Test Problems ◽  
Two Dimensional ◽  
Graded Materials ◽  
Finite Difference Technique ◽  
Analytical Results ◽  
Crack Problems

A linear elastic two-dimensional formulation for functionally graded materials is presented. The two-dimensional equilibrium equations and boundary conditions in an orthogonal curvilinear coordinate system are written explicitly. The finite difference technique is used to solve the above formulation. The solution technique is verified by solving two test problems, in which the material is graded horizontally and vertically. The results are compared to analytical results and have very good agreement. The solution technique is then applied to solve a long layer containing an edge crack in which it is assumed that the Young’s modulus varies continuously along its width. The problem is solved for two loading conditions: tension and bending. The mode I stress intensity factor is extracted by applying three methods: J line and two versions of a modified conservative J integral for graded materials. All three methods provide similar results, which are in excellent agreement with the semi-analytical results in the literature. These results demonstrate the applicability of the finite difference technique for solving crack problems in functionally graded materials.

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