The first consistent model for the turbulent tachocline is presented, with the turbulent diffusivity computed within the model instead of being specified arbitrarily. For the origin of the 3D turbulence a new mechanism is proposed. Owing to the strongly stable stratification, the mean radial shear is stable, while the horizontal shear is expected to drive predominantly horizontal, quasi-2D moti...

Abstract We consider a stochastic conservation law on the line with solution-dependent diffusivity, super-linear, sub-quadratic Hamiltonian, and smooth, spatially-homogeneous kick-type random forcing. show that this Markov process admits unique ergodic invariant measure for each mean in non-explicit unbounded set. This generalises previous work Burgers equation.

[1] Diffusivity was measured for 12 rock and construction material samples using a diffusion chamber method with oxygen as the tracer gas. Several steps were implemented to minimize leakage between the sample and the core holder, and rigorous tests were performed to evaluate and correct the overall leakage of the diffusion apparatus. This method was proven capable of rapidly measuring the diffu...

A non-Newtonian mathematical model of blood described as a Hershel-Bulkley fluid flowing in stenosed artery with the effect chemical reaction is mathematically studied. The expressions shear stress, mean velocity and absolute plug non-plug flow field are evaluated analytically. convective-diffusion equation solved using Taylor-Aris technique subject to relevant boundary constraint determining c...

The plain problem of drying a cylindrical timber beam in average statement is considered. thermal diffusivity coefficients are expressed terms the porosity timber, density components vapour, air, and skeleton. mutual phase distribution during has been solved using energy balance equation. indicators process material depend on correct choice observance parameters medium.

In this paper, a nonlinear inverse problem of parabolic type, is considered. By reducing this inverse problem to a system of Volterra integral equations the existence, uniqueness, and stability of the solution will be shown.

The intermittent drying characteristics of an Iranian popular paddy rice variety were experimentally investigated to determine the drying kinetics and obtain the effective moisture diffusivity. A lab-scale fluidized bed dryer was designed and constructed to enable obtaining the required results while controlling critical drying parameters. The effects of drying temperature and tempering per...

In environmental flows, field and laboratory measurements of suspended sediments show two kinds concentration profiles. For coarse sediments, a near-bed upward convex profile is observed beneath the main concave profile. this study, we consider 1-DV models, namely, classical advection–diffusion equation (ADE) based on gradient diffusion model, kinetic model. Both need sediment diffusivity, whic...