We perform numerical expe riments wit h a novel cellularautomaton fluid mod el. T he mod el has simple pair -in t eraction rules and works in arb it rarily man y dimensions; here we consider the twodimension al case . By observing the smoothing-out of the velocity profile of a shear flow and t he relax ati on of a shea r wave, we measure t he kin em ati c shear viscosity and obtain a value of R...

This paper undertakes a study of behavior solutions corresponding to von Karman thermoelastic plates involving nonlinear source. It is well-known that the source term gives rise finite-time blow-up and drives system possible instability. So, it interest explore mechanism dissipation. In this paper, on one hand, for low initial energy, we apply modified potential well method differential inequal...

Motivated by recent trends in spin coating operations chemical engineering which are exploiting nanomaterials, the present article investigates theoretically and numerically steady mass heat transfer von Karman swirling slip flow of a nanofluid from rotating disk touching to homogenous non-Darcy porous medium. The medium is simulated with Darcy–Forchheimer–Brinkman model. To track thermophoresi...

Different models of self-excited oscillators which are four-dimensional extensions of the van der Pol system are reported. Their symmetries are analyzed. Three of them were introduced to model the release of vortices behind circular cylinders with a possible transition from a symmetric to an antisymmetric Bénard-von Karman vortex street. The fourth reported self-excited oscillator is a new mode...

Long wavelength optical phonons of quartz were analyzed by a Born-Von Karman model not previously used. It was found that only one force constant associated with the turning of the Si-0 bonds has a critical effect on the softmode frequency and the a-p transition in quartz. The square of the soft-mode frequency was found to depend linearly on this force constant which has the temperature depende...