Brownian Motion and Thermophoretic Effects in Mini Channels with Various Heights

Abstract

Flow-through mini channels have received tremendous interest from researchers over a long period. However, the study of flow between the channel and on top of the channel has received little to no attention. In the present paper, different parameters have been used to investigate this heat enhancement. The height of 10 mini channels has been varied, allowing the corresponding aspect ratio to vary from 3 to 6, 9, and 12. When the aspect ratio is 12, flow circulates through the mini channel only, and when the aspect ratio is less than 12, flow is distributed between the one circulating inside the channel and moving on top of the channel. Different flow rates are studied corresponding to a Reynolds number varying from 250 to 1250 if water is the working fluid. Brownian and thermophoresis effects are taken into consideration to investigate the nanoparticle sedimentation. Results revealed that the optimum configuration, if one needs to take into consideration the friction factor, is 12. If one ignores the pressure drops, then the optimum configuration is when the aspect ratio is equal to 6. This means that the flow interaction between the one circulating in the channel and above the channel plays a major effect in heat removal.

Brownian dynamics of Dirac fermions in twisted bilayer graphene

“…Moreover, other interesting aspects of Brownian motion have been studied. For instance, active random motion with intermittent direction reversals [37], nanoparticle dynamics in nanofluid [38], highly resolved random motion in space and time [39], Brownian behavior in coupled chaotic oscillators [40], paradigmatic model of Brownian motion in a harmonic oscillator coupled to a bath of oscillators [41], Brownian motion in a Landau level system [42] have been reported. It has been shown that in the stochastic regime, characterized by balanced noise and dissipation, plays a crucial role in bridging the gap between quantum and classical behaviors which also captures the attributes of statistical mechanics of the full theory [43].…”