Contents of Journal of Mechanical Engineering 57, 4 (2006) 




SLÁDEK, J., SLÁDEK V.: A meshless method in transient coupled 
thermoelasticity for orthotropic solids                                 189

ATTIA H. A.: Axisymmetric stagnation point flow towards 
a stretching surface with heat generation in a porous medium            208

GUŽELA, Š., PECIAR, M.: The calculation of force acting 
on the moving object through batch of the particulate 
material (in Slovak)                                                    220

Abstracts



A meshless method in transient coupled thermoelasticity for orthotropic solids

JÁN SLÁDEK, VLADIMÍR SLÁDEK

The Meshless Local Petrov-Galerkin (MLPG) method for linear transient coupled thermoelastic analysis in orthotropic solids is presented. To eliminate the time-dependence in governing equations, the Laplace-transform technique is used. Local integral equations on small circular subdomains are presented for solving two-dimensional (2-D) problems. Circular subdomains surround nodal points which are distributed over the analysed domain. The spatial variation of the displacements and temperature are approximated by the Moving Least-Squares (MLS) scheme. After performing the spatial integrations, a system of linear algebraic equations for unknown nodal values is obtained. The Stehfest's inversion method is then applied to obtain the final time-dependent solutions. Orthotropic properties for heat conduction coefficients and for mechanical stiffness matrix are considered in numerical examples.

Axisymmetric stagnation point flow towards a stretching surface with heat generation in a porous medium

HAZEM A. ATTIA

An analysis is made of the steady laminar three-dimensional stagnation point flow through a porous medium of an incompressible viscous fluid impinging on a permeable stretching surface with heat generation or absorption. Numerical solution for the governing nonlinear momentum and energy equations is obtained. The effect of the porosity of the medium, the surface stretching velocity, and the heat generation/absorption coefficient on both the flow and heat transfer is presented and discussed.

The calculation of force acting on the moving object through batch of the particulate material

ŠTEFAN GUŽELA, MARIÁN PECIAR

The paper deals with force effect of the particulate material on a rectangular shaped blade proceeding with uniform and rectilinear motion in a batch of the particulate material. The solution comes out from the tensions yield equilibrium of the particulate material described by theory of Mohr's circle. Rectangular box was used in the experiments which enables a uniform rectilinear motion of the object -- the flat blade of the rectangular shape. Dimensionless dependences of a force on the dimensionless immersion of the blade, which is necessary for a movement of the flat blade through the particulate material layer, were acquired by correlation of the experimental data.