The dynamo driven by the magnetorotational instability (MRI) is believed to play an important role in dynamics of accretion discs and may also explain origin extreme magnetic fields present magnetars. Its saturation level open question known be particularly sensitive diffusive processes through Prandtl number Pm (the ratio viscosity resistivity). Despite its relevance proto-neutron stars neutro...

Abstract Clustering of small rigid spherical particles into particle accumulation structures (PAS) is studied numerically for a high-Prandtl-number (Pr = 68) thermocapillary liquid bridge. The one-way-coupling approach used calculation the motion, modeling PAS as an attractor single particle. created by dissipative forces acting on near boundary due to finite size These can dramatically deflect...

The Prandtl number dependence of unsteady laminar natural convection along an infinite vertical plate in a thermally stratified fluid is investigated. Flows are induced by an impulsive (step) change in plate temperature and by a suddenly imposed plate heat flux. Analytical solutions of the viscous equations of motion and thermodynamic energy are obtained for Prandtl numbers near unity by the me...

Prandtl-Ishlinskii (P-I) model is one of the powerful operator-based phenomenological models which is used in modeling complex hysteretic nonlinear behavior in piezoelectric, piezoceramic, magnetostrictive and shape memory alloy actuators. The most appealing and unique aspect of the Prandtl-Ishlinskii model comes back to this fact that this model is analytically invertible and therefore could b...

The natural convection in differentially heated rectangular cavities with a fin attached to the cold wall was investigated numerically. The top and the bottom horizontal walls of the cavities were insulated while their left and the right vertical walls were maintained at a constant temperature Th and Tc, respectively with Th > Tc. The governing equations written in terms of the primitive variab...

The transition to convection in a zero Prandtl number fluid with stress-free and perfectly conducting boundaries differs significantly from finite Prandtl number convection, giving rise to a three-dimensional pattern. Two possible scenarios are described and compared with recent numerical simulations by Thual Ii]. The Prandtl number of a fluid can approach zero in one of two ways either because...

We prove a new upper bound on the vertical heat transport in Rayleigh-Bénard convection of the form c Ra 1 3 (lnRa) 2 3 under the assumption that the ratio of Prandtl number over Rayleigh number satisfies Pr Ra ≥ c0 where the non-dimensional constant c0 depends on the aspect ratio of the domain only. This new rigorous bound agrees with the (optimal) Ra 1 3 bound (modulo logarithmic correction) ...