In heat exchangers, an incompressible fluid is heated initially and cooled at the boundary. The goal to transfer boundary as efficiently possible. this paper we study a related steady version of problem where steadily stirred uniformly in interior on For given large P\'eclet number, how should one stir minimize some norm temperature? This was previously studied by Marcotte, Doering et\ al.\ (SI...

Weak and strong convergence theorems of three-step iterations are established for nonself asymptotically nonexpansive mappings in uniformly convex Banach space. The results obtained in this paper extend and improve the recent ones announced by Suantai 2005, Khan and Hussain 2008, Nilsrakoo and Saejung 2006, and many others.

For an operator bimodule X over von Neumann algebras A ⊆ B(H) and B ⊆ B(K), the space of all completely bounded A, B-bimodule maps from X into B(K,H), is the bimodule dual of X. Basic duality theory is developed with a particular attention to the Haagerup tensor product over von Neumann algebras. To X a normal operator bimodule Xn is associated so that completely bounded A, B-bimodule maps from...

In this investigation an elastic stress analysis is carried out a woven steel fiber reinforced thermoplastic cantilever beam loaded uniformly at the upper surface. The composite beam material consists of low density polyethylene as a thermoplastic (LDFE, f.2.12) and woven steel fibers. Granules of the polyethylene are put into the moulds and they are heated up to 160°C by using electrical resis...

Thermal convection in a horizontal fluid layer heated uniformly from below usually produces an array of convection cells of roughly equal amplitudes. In the presence of a vertical magnetic field, convection may instead occur in vigorous isolated cells separated by regions of strong magnetic field. An approximate model for two-dimensional solutions of this kind is constructed, using the limits o...

The objective of this article is to study the behavior of electromagnetic field under X-ray diffraction by time-dependent deformed crystals. Derived system of differential equations looks like the Takagi equations in the case of non-stationary crystals. This is a system of multidimensional first-order hyperbolic equations with complex time-dependent coefficients. Efficient difference schemes ba...

We report an experimental investigation of the caging motion in a uniformly heated granular fluid for a wide range of filling fractions, varphi. At low varphi the classic diffusive behavior of a fluid is observed. However, as varphi is increased, temporary cages develop and particles become increasingly trapped by their neighbors. We statistically analyze particle trajectories and observe a num...

Considering the effect of geometric nonlinearity and uniformly distributed time-varying temperature, the bifurcation behaviors and chaotic phenomena of a bimetallic thin circular plate are investigated. First of all, the nonlinear dynamic equation for bimetallic plate is established and further reduced to Duffing equation of harmonic parametric excitation, from which the pitchfork bifurcation p...