...@gmail.com e-mail:  raut_santanu@yahoo.com 1 Corresponding author. e-mail:  rishirajkairi@gmail.com 04 03 2022 03 06 2022 21 06 2022 second-grade fluid thermophoresis Brownian motion microorganisms Marangoni convection stratification bioconvection chemical reaction...

... 2017 31 08 2018 nanofluid squeezing flow non-Darcy porous medium melting heat transfer thermophoresis Brownian motion thermal and solutal stratification Recently, squeezing flow becomes active research area for engineers and scientists corresponding to its practical...

.... Editor: Ali Ebadian. 04 07 2013 20 06 2014 The natural convective boundary layer flow of a nanofluid over an isothermal horizontal plate is studied analytically. The model used for the nanofluid accounts for the effects of Brownian motion and thermophoresis. The analysis shows...

... of Brownian motion and thermophoresis. The solution for the temperature and nanoparticle concentration depends on six parameters, viz., thermal radiation parameter R , Prandtl number Pr, Lewis number Le, Brownian motion Nb, and the thermophoresis parameter Nt. Similarity transformation is used to convert...

... 16 07 2013 We analytically studied the onset of convection, induced by internal heating, such as that produced by microwave heating or chemical reaction, in a horizontal layer of a nanofluid subject to Brownian motion and thermophoresis. This is a fundamentally different situation from...

... fluids than the dilatant fluids. The effect of generalized Brownian motion parameter Nb on dimensionless nanoparticle concentration is shown in Fig. 6( b ) for different power-law nanofluids. It can be seen that the nanoparticle concentration decreases with an increase in the generalized Brownian...

...W. A. Khan; I. Pop A similarity solution is presented for the steady free convection boundary layer flow past a horizontal flat plate embedded in a porous medium filled with nanofluids. The model used for the nanofluid is the one which incorporates the effects of Brownian motion and thermophoresis...

... to evaluate the effects of inlet Reynolds number, Brownian motion, and volume fraction of nanoparticles on the pumping power, effectiveness, and performance index of CFMCHE. The accuracy of the code has been verified by comparing the results with those available in the literature. A single phase approach...

... reasons for the experimental finding of significant conductivity enhancement include the nanoparticle Brownian motion, the Brownian-motion-induced convection, the liquid layering at the liquid-particle interface, and the nanoparticle cluster/aggregate. Although there is a lack of agreement regarding...

... other reasons, which may be listed as this higher enhancement, particle migration is proposed to be an important reason. nanofluids heat transfer thermophoresis Brownian motion nonuniform particle distribution A possible effective way of improving the heat-transfer performance of common...

...D. A. Nield; A. V. Kuznetsov The onset of convection in a horizontal layer of a nanofluid is studied analytically. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis, and allows for local thermal nonequilibrium (LTNE) between the particle and fluid...

...D. Y. Tzou Instability of natural convection in nanofluids is investigated in this work. As a result of Brownian motion and thermophoresis of nanoparticles, the critical Rayleigh number is shown to be much lower, by one to two orders of magnitude, as compared to that for regular fluids. The highly...

...Bao Yang Thermal conductivity equations for the suspension of nanoparticles (nanofluids) have been derived from the kinetic theory of particles under relaxation time approximations. These equations, which take into account the microconvection caused by the particle Brownian motion, can be used...

... on Brownian motion of nanoparticles in the liquid is developed. A general expression for the effective thermal conductivity of a colloidal suspension is derived by using ensemble averaging under the assumption of small departures from equilibrium and the presence of pairwise additive interaction potential...

... Turbo Expo 2002 , Amsterdam, Netherlands, June 3–6, 3 , pp. 21 – 32 . 01 03 2006 03 01 2007 cooling flow simulation turbulent diffusion Brownian motion stochastic processes jets two-phase flow disperse systems drops numerical analysis film cooling gas turbine...

... macroscale approaches cannot explain the thermal behavior of nanofluids. Recently, Jang and Choi proposed and modeled for the first time the Brownian-motion-induced nanoconvection as a key nanoscale mechanism governing the thermal behavior of nanofluids, but did not clearly explain this and other new...

... the time scale of Brownian movement of the particle ( τ b ) and the time scale of the convection due to the movement of the particle ( τ c ) . The characteristic time scale to cover a distance equal to the diameter of the particle due to Brownian motion is given by ( 11 ) τ b...

... conductivity thermal diffusion slip flow Brownian motion gravity waves mass transfer boundary layer turbulence viscosity nanofluid heat transfer thermophoresis The earliest observations of thermal conductivity enhancement in liquid dispersions of submicronic solid particles (i.e...

...M. Grigoriu A Monte Carlo method is developed for solving the heat conduction, Poisson, and Laplace equations. The method is based on properties of Brownian motion and Ito^ processes, the Ito^ formula for differentiable functions of these processes, and the similarities between the generator of Ito...