to identify the nature of the unstated approximations used in that work. The title clearly states that the subject of the paper is “optical measurements of non-uniform electric field” yet equations (1)-(9) are only valid for uniform electric fields whose direction is constant along the light path. These equations are presented as if they x e directly applicable to arbitrary non-uniform electric...

The effect of the instability interface morphology due to mechanical disturbances and acceleration changes (or gravity flutter) on Marangoni convective stability has been confirmed via space experiments. However, compared with research convection an axisymmetric liquid bridge, transition flow behavior a non-axisymmetric bridge is not sufficiently deep. Based thermal-buoyant capillary (TBCC) exp...

in this paper, an analytical solution for computing the linear plastic stresses and critical pressure in a fgm hollow cylinder under the internal pressure due to non-axisymmetric loads is developed. it has been assumed that the modulus of elasticity was varying through thickness of the fgm material according to a power law relationship. the poisson's ratio was considered constant throughou...

The pressure- and temperature-sensitive paint (PSP/TSP) technique, for steady-state and unsteady-state measurements, is becoming widespread. However, unsteady quantitative measurement is still difficult because non-uniform distribution of the probes over a test model may cause errors in the results. We focus on the dipping method that applies two luminophores into a binding material to improve ...

The thin-disc global asymptotics are discussed for axisymmetric meanfield dynamos with vacuum boundary conditions allowing for non-local terms arising from a finite radial component of the mean magnetic field at the disc surface. This leads to an integro-differential operator in the equation for the radial distribution of the mean magnetic field strength, Q(r) in the disc plane

Stretching process of sheet metals in both cases of axisymmetric and non-axisymmetric is analyzed. A rigid-plastic, normal anisotrop material is assumed and large strain formulation is applied. Triangular elements are used and stiffness equations of elements are obtained from virtual work principle. These nonlinear equations are linearized by Newton-Raphsons method and are solved by Gaussian el...

The complex-shift method is applied to the Kuzmin-Toomre family of discs to generate a family of non-axisymmetric flat distributions of matter. These are then superposed to construct non-axisymmetric flat rings. We also consider triaxial potential-density pairs obtained from these non-axisymmetric flat systems by means of suitable transformations. The use of the imaginary part of complex-shifte...

in this paper, the temperature distribution around a moving heat source had been investigated including the phase change and non phase change . in non-phase change state, the governing equation was converted to finite difference equation by finite volume method and the equation was solved by alternating direction implicit method. this method was unconditionally stable . in phase change state, t...

In the present article, we implement fractional thermoelasticity theory to a 2D issue for sphere whose surface is free from traction, subject provided axisymmetric temperature distribution of heat. The medium supposed be quiescent initially. A direct method used get solution and Laplace transform technique used. Mathematical models copper material are designed as particular instance. Numerical ...

A free surface problem arising in the Czochralski (CZ) crystal growth process is considered. A mathematical model accounting for the interaction of the molten material with applied and induced magnetic fields, temperature-induced convection, rotating boundaries and a free surface is given. The model described avoids some common simplifying assumptions and allows for more general geometries, and...