...-mail:  subrataroy.coochbehar@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...

... of Thermophoresis and Brownian Motion ,” Adv. Powder Technol. , 27 ( 2 ), pp. 564 – 574 . 10.1016/j.apt.2016.02.011 [16] Hayat , T. , Hussain , Z. , Ahmed , B. , and Alsaedi , A. , 2017 , “ Base Fluid With CNTs as Nanoparticles Through Non-Darcy Porous Medium in Convectively Heated Flow...

.... 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...

...Wubshet Ibrahim; B. Shanker The boundary-layer flow and heat transfer over a non-isothermal stretching sheet in a nanofluid with the effect of magnetic field and thermal radiation have been investigated. The transport equations used for the analysis include the effect of Brownian motion...

... 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...

... concentration is kept constant. A power-law model is used for non-Newtonian fluids, whereas Brownian motion and thermophoresis effects are incorporated in the nanofluid model. A similarity transformation is used to reduce mass, momentum, thermal energy, and nanoparticles concentration equations into nonlinear...

...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...

... that higher heat transfer is achieved by considering a nonuniform distribution of particle concentration caused by thermophoresis and Brownian motion. For the lowest value of φ m = 0.03 , the heat-transfer enhancement is about 3%, while at the upper limit of φ m = 0.05 , the level...

...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...

... lift is imperceptible. 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 cooling mist cooling two-phase flow simulation...

... 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...

... showed that the model by Jang and Choi is not correct because of certain assumptions made by them. In spite of all the shortcomings, we recognize that Jang and Choi were the first group to take into account convection induced by Brownian motion ( 16 ). Equation 7 , from which Eq. 8 is derived...

... Suspensions and Solutions ,” J. Chem. Phys. 0021-9606 10.1063/1.1700493 , 20 , pp. 571 – 581 . Batchelor , G. K. , 1977 , “ The Effect of Brownian Motion on the Bulk Stress in a Suspension of Spherical Particles ,” J. Fluid Mech. 0022-1120 , 83 ( 1 ), pp. 97 – 117 . Maïga , S...

...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...