In this paper the effect of using various models for conductivity and viscosity considering Brownian motion of nanoparticles is investigated. This study is numerically conducted inside a cavity full of Water-Al2O3 nanofluid at the case of mixed convection heat transfer. The effect of some parameters such as the nanoparticle volume fraction, Rayleigh, Richardson and Reynolds numbers has been ex...

One never forgets the sheer excitement of an infant's first hesitant steps; the clumsy but undaunted efforts that you know will soon develop to the confident strides that will enable entry to the 'real world'. It is hard to avoid similar thoughts when one looks at the steps currently taken to achieve movement at the nanoscale. In a nano-world where thermal Brownian motion rules, finding movemen...

Abstract Simulated tempering is a popular method of allowing Markov chain Monte Carlo algorithms to move between modes multimodal target density $\pi$ . Tawn, Moores and Roberts (2021) introduces the Annealed Leap-Point Sampler (ALPS) allow for rapid movement modes. In this paper we prove that, under appropriate assumptions, suitably scaled version ALPS algorithm converges weakly skew Brownian ...

A key challenge in movement ecology is to understand how animals move in nature. Previous studies have predicted that animals should perform a special class of random walks, called Lévy walk, to obtain more targets. However, some empirical studies did not support this hypothesis, and the relationship between search strategy and ecological factors is still unclear. We focused on ecological facto...

BACKGROUND Diffusion is a physical process based on the random movement of water molecules known as Brownian movement. Diffusion-weighted imaging (DWI) is a magnetic resonance (MR) technique that provides information about the biophysical properties of tissues such cell organization and density, microstructure and microcirculation. MATERIALS AND METHODS Twenty healthy volunteers and 18 patien...

langevin equation for a nano-particle suspended in a laminar fluid flow was analytically studied. the brownian motion generated from molecular bombardment was taken as a wiener stochastic process and approximated by a gaussian white noise. euler-maruyama method was used to solve the langevin equation numerically. the accuracy of brownian simulation was checked by performing a series of simulati...

in this paper, natural convection heat transfer over a vertical plate in a darcy porous medium saturated with a nanofluid subject to heat generation/absorption was theoretically studied. the governing partial differential equations were transformed to a set of ordinary differential equations using similarity transformations and solved using finite difference method. the influence of parametric ...

BACKGROUND The Brownian bridge movement model (BBMM) provides a biologically sound approximation of the movement path of an animal based on discrete location data, and is a powerful method to quantify utilization distributions. Computing the utilization distribution based on the BBMM while calculating movement parameters directly from the location data, may result in inconsistent and misleading...

The mobility of the 100 nm Fe2O3 particles in dense water solutions of sugar (sucrose) was determined from the analysis of the resonance absorption line shape of the Mössbauer spectra recorded in the −5◦C to 40◦C temperature range for different sugar concentrations. The discrepancy between the experimental data and the prediction of the classical theory of Brownian movement are interpreted in t...

The present work is a systematic numerical study of the thermal properties of single walled carbon nanotubes (SWNTs) in suspensions. A computational model, based on the simulation of the random movement of Brownian thermal walkers in aqueous and in oil suspensions of SWNTs, was used to investigate the effect of the SWNT aspect ratio, weight fraction and of the interfacial thermal resistance on ...