A semi-analytical study is presented for the thermophoretic migration of a spherical particle located at an arbitrary position in porous medium inside cavity. uniformly applied temperature gradient parallel to line connecting and cavity centers. The modeled as Brinkman fluid with characteristic Darcy permeability K that can be obtained directly from experimental data. assumed homogenous isotrop...

It is shown using the method of molecular dynamics that motion carbon nanoparticles (rectangular graphene flakes, spherical fullerenes size $L<10$ nm) on surface a thermalized sheet lying flat substrate can be described as particles in viscous medium with constant coefficient friction, value which depends temperature and particle size. has been there are two types effective friction: diffusi...

Abstract Numerical approach for a non-linear mixed convective magnetohydrodynamic two-dimensional Carreau nanofluid through an exponentially permeable stretching surface with viscous dissipation and velocity slip under the influence of Arrhenius activation energy in chemical reaction is reported. The effects thermophoresis Brownian motion are considered. governing nonlinear equations this model...

Stochastic simulations enable researchers to incorporate uncertainties beyond numerical discretization errors in computational fluid dynamics (CFD). Here, the authors provide examples of stochastic incompressible flows and solutions for validating these newly emerging modeling methods. A scheme is constructed finding parabolic equations. The second-order accurate time constant coefficient Wiene...

In this research, effect of nanoparticles dimeter on free convection of aluminum oxide-water was investigated in a cavity by single phase and two phase models. The range of Rayleigh number is considered 105-107 in volume fractions of 0.01 to 0.03 for nanoparticles with various diameters (25, 33, 50 and 100 nm). Given that the two phase nature of nanofluids, necessity of modeling by this method ...