Analytical solutions of the two dimensional triangular and square lattice Boltzmann BGK models have been obtained for the plain Poiseuille flow and the plain Couette flow. The analytical solutions are written in terms of the characteristic velocity of the flow, the single relaxation time τ and the lattice spacing. The analytic solutions are the exact representation of these two flows without an...

By methods of modern spectral analysis, we rigorously find distributions of eigenvalues of linearized operators associated with an ideal hydromagnetic Couette-Taylor flow. The transition to instability in the limit of a vanishing magnetic field has a discontinuous change compared to the Rayleigh stability criterion for hydrodynamical flows, which is known as the Velikhov-Chandrasekhar paradox.

The linear stability of a rotating, stratified, inviscid horizontal plane Couette flow in a channel is studied in the limit of strong rotation and stratification. Two dimensionless parameters characterize the flow: the Rossby number ǫ, defined as the ratio of the shear to the Coriolis frequency and assumed small, and the ratio s of the Coriolis frequency to the buoyancy frequency, assumed to sa...

Various types of coagulation devices have been used to study aggregation, with the goal of understanding aggregation dynamics in natural and engineered systems. Three different devices were investigated here (paddle mixer, oscillating grid and Couette) to examine the effect of different laboratory devices on the particle size spectra over a wide range of shear range values (G=4-102 s(-1)) at fo...

abstract:the general perception of islamic finance is that it prohibits the practice of paying and receiving interest, but islamicfinance is much broader than interest rate prohibition. islamic financial services can be viewed as a set of financialservices which are diversified based on the needs of society.since in the iranian economy most of the enterprises are micro and/or small, micro finan...

a micro-channel heat exchanger reactor with different micro-baffle shapes has been studied numerically. governing equations were solved base on the finite volume method with fluent software. in upper section, oxidation reaction of methanol was occurred and in lower section, steam reforming of methanol was done. two sections were separated with solid part which played as heat exchanger and trans...

2014 A Couette-type apparatus has been constructed which allows the observation of small angle neutron scattering from fluids in a constant shear gradient. Typical systems which can be investigated by this apparatus are polymer solutions and melts, anisotropic biopolymers, viruses in solution and various colloidal liquids. Revue Phys. Appl.19 (1984) 759-763 SEPTEMBRE 1984,

We investigate probability density functions of velocity differences at different distances r measured in a Couette-Taylor flow for a range of Reynolds numbers Re. There is good agreement with the predictions of a theoretical model based on nonextensive statistical mechanics (where the entropies are nonadditive for independent subsystems). We extract the scale-dependent nonextensitivity paramet...

Is it possible to solve Boltzmann-type kinetic equations using only a small number of particle velocities? We introduce a technique of solving kinetic equations with a (arbitrarily) large number of particle velocities using only a lattice Boltzmann method on standard, low-symmetry lattices. The renormalized kinetic equation is validated with an exact solution of the planar Couette flow at moder...