Brownian Movement Forces—Osmotic Interactions of Polymers

Here we show through an order-of-magnitude analysis that the enhancement in the effective thermal conductivity of nanofluids is due mainly to the localized convection caused by the Brownian movement of the nanoparticles. We also introduce a convective-conductive model which accurately captures the effects of particle size, choice of base liquid, thermal interfacial resistance between the particles and liquid, temperature, etc. This model is a combination of the Maxwell-Garnett (MG) conduction model and the convection caused by the Brownian movement of the nanoparticles, and reduces to the MG model for large particle sizes. The model is in good agreement with data on water, ethylene glycol, and oil-based nanofluids, and shows that the lighter the nanoparticles, the greater the convection effect in the liquid, regardless of the thermal conductivity of the nanoparticles.

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V—The Brownian Movement of a One-Dimensional Non-Harmonic Oscillator

Proceedings of the Royal Society of Edinburgh Section A Mathematical and Physical Sciences ◽

10.1017/s0080454100008256 ◽

1968 ◽

Vol 68 (1) ◽

pp. 70-82

Author(s):

A. J. Allnutt

Keyword(s):

Approximate Solution ◽

Simple Model ◽

Harmonic Oscillator ◽

Langevin Equation ◽

Iterative Procedure ◽

Anharmonic Oscillator ◽

Crystalline Solid ◽

Brownian Movement ◽

One Dimensional ◽

Numerical Example

SynopsisThe Langevin equation for the harmonic oscillator is solved by a different method from that normally used. The approximate solution for the case of the slightly anharmonic oscillator is then obtained by an iterative procedure and the results are illustrated by a numerical example based on a simple model of a crystalline solid.

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Brownian movement and thermophoresis of nanoparticles in liquids

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2014.10.019 ◽

2015 ◽

Vol 81 ◽

pp. 179-187 ◽

Cited By ~ 63

Author(s):

Efstathios E. Michaelides

Keyword(s):

Brownian Movement

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Physical applications: fractional Brownian movement applied to the particle dispersion

Journal of Physics Conference Series ◽

10.1088/1742-6596/1702/1/012004 ◽

2020 ◽

Vol 1702 ◽

pp. 012004

Author(s):

Y Herrera ◽

D A Prada ◽

J Ortega ◽

A Sierra ◽

A Acevedo

Keyword(s):

Particle Dispersion ◽

Brownian Movement

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Projection of Brownian movement

Journal of Chemical Education ◽

10.1021/ed005p868 ◽

1928 ◽

Vol 5 (7) ◽

pp. 868 ◽

Cited By ~ 1

Author(s):

N. Henry Black

Keyword(s):

Brownian Movement

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Brownian Movement and Molecular Reality

Nature ◽

10.1038/086105a0 ◽

1911 ◽

Vol 86 (2160) ◽

pp. 105-105 ◽

Cited By ~ 1

Author(s):

E. R.

Keyword(s):

Brownian Movement

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Newtonian heat and mass conditions impact in thermally radiated Maxwell nanofluid Darcy–Forchheimer flow with heat generation

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/hff-11-2018-0695 ◽

2019 ◽

Vol 29 (8) ◽

pp. 2809-2821 ◽

Cited By ~ 7

Author(s):

Muhammad Waqas ◽

M. Mudassar Gulzar ◽

Waqar Azeem Khan ◽

Muhammad Ijaz Khan ◽

Niaz B. Khan

Keyword(s):

Heat Generation ◽

Flow Analysis ◽

Surface Flow ◽

Brownian Movement ◽

Optimal Homotopy Analysis Method ◽

Content Type ◽

Homotopy Analysis ◽

Reverse Situation ◽

Maxwell Nanoliquid ◽

Movement Parameters

Purpose This paper aims to elaborate the characteristics of magneto-Maxwell nanoliquid toward moving radiated surface. Flow analysis subject to Darcy–Forchheimer concept is studied. Newtonian heat/mass conditions and heat source aspects are taken into account for modeling. Apposite transformations are introduced for non-dimensionalization process. Design/methodology/approach Optimal homotopy analysis method is implemented to compute convergent solutions of nonlinear ordinary differential equations. Findings Temperature field increments when thermophoresis, heat generation and Brownian movement parameters are increased, whereas reverse situation is noticed for larger Prandtl number. The results also witness that concentration distribution has opposite characteristics for larger thermophoresis and Brownian movement parameters. Furthermore, the presented analysis reduces to traditional Darcy relation in the absence of local inertia coefficient. Originality/value As per the authors’ knowledge, no such analysis has been yet reported.

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