On Nano-Ellipsoid Transport and Deposition in the Lung First Bifurcation-Effect of Slip Correction

2016 ◽  
Vol 138 (10) ◽  
Author(s):  
Lin Tian ◽  
Goodarz Ahmadi
Keyword(s):  
Carbon Nanotubes ◽  
Brownian Motion ◽  
Rapid Development ◽  
Brownian Diffusion ◽  
Health Concerns ◽  
Rotational Movement ◽  
And Brownian Motion ◽  
Airway Bifurcation

Recent rapid development of industrial usage of carbon nanotubes (CNTs) has raised health concerns as these engineered elongated particles resemble the appearance of asbestos, which is a well-known inhalation hazard. While CNTs have elongated rod shaped structure similar to asbestos, they are nanosized, and therefore, their motions are strongly affected by Brownian diffusion. The available studies in this area are rather limited and details of the nanofiber dynamics along the transport route are largely unknown. In this study, the CNTs were modeled as elongated ellipsoids and their full motions including the coupled translational and rotational movement in the human tracheobronchial first airway bifurcation were analyzed. Particular attention was given to the effects of the slip-correction and Brownian motion, which are critical to the accuracy of the modeling of motions of nanoscale CNTs in free molecular and transition regimes.

Thermal analysis of higher-order chemical reactive viscoelastic nanofluids flow in porous media via stretching surface

2021 ◽  
pp. 095440622110084
Author(s):  
Mohamed R Eid ◽  
F Mabood
Keyword(s):  
Brownian Motion ◽  
Transfer Rate ◽  
Fluid Velocity ◽  
Mass Transfer Rate ◽  
Higher Order ◽  
Flow In Porous Media ◽  
Viscoelastic Parameter ◽  
Suction Parameter ◽  
And Brownian Motion ◽  
Magnetic Strength

The essence of the present investigation is to reveal the hydrothermal variations of viscoelastic nanofluid flow in a porous medium over a stretchable surface. A higher-order chemical reaction is incorporated with thermophoresis and Brownian motion. Similarity conversions reduce the resulting equations into their dimensionless form and then solved using Runge-Kutta-Fehlberg (RKF) based shooting procedure. The effects of underlying factors on the flow are discussed through various graphs and tables. Computational results for noteworthy skin friction and heat and mass transport are presented and reviewed with sensible judgment. The study reveals that the fluid velocity reduces with incremental values of the viscoelastic parameter [Formula: see text] and magnetic strength. The temperature reduces for the suction parameter with the existence of stretchable but enhances with thermophoresis and Brownian motion effects. Heat transfer rate amplifies for [Formula: see text] but declines for [Formula: see text]. Mass transfer rate increases with the increase in Brownian parameter and Schmidt number. A comparative analysis shows a better agreement with previous results in limiting scenarios.

Magneto convective flow of casson nanofluid due to Stefan blowing in the presence of bio-active mixers

2021 ◽  
pp. 239779142110166
Author(s):  
Venkatesh Puneeth ◽  
Sarpabhushana Manjunatha ◽  
Bijjanal Jayanna Gireesha ◽  
Rama Subba Reddy Gorla
Keyword(s):  
Magnetic Field ◽  
Brownian Motion ◽  
Convective Flow ◽  
Three Dimensional ◽  
Induced Magnetic Field ◽  
Density Profiles ◽  
Casson Nanofluid ◽  
And Brownian Motion ◽  
Similarity Transformations ◽  
The Mathematical Model

The induced magnetic field for three-dimensional bio-convective flow of Casson nanofluid containing gyrotactic microorganisms along a vertical stretching sheet is investigated. The movement of these microorganisms cause bioconvection and they act as bio-active mixers that help in stabilising the nanoparticles in the suspension. The two forces, Thermophoresis and Brownian motion are incorporated in the Mathematical model along with Stefan blowing. The resulting model is transformed to ordinary differential equations using similarity transformations and are solved using [Formula: see text] method. The Velocity, Induced Magnetic field, Temperature, Concentration of Nanoparticles, and Motile density profiles are interpreted graphically. It is observed that the Casson parameter decreases the flow velocity and enhances the temperature, concentration, and motile density profiles and also it is noticed that the blowing enhances the nanofluid profiles whereas, suction diminishes the nanofluid profiles. On the other hand, it is perceived that the rate of heat conduction is enhanced with Thermophoresis and Brownian motion.

Nanofluids Flow Between Two Rotating Cylinders: Effects of Thermophoresis and Brownian Motion

2013 ◽  
Vol 27 (4) ◽  
pp. 748-755 ◽  
Author(s):  
Meisam Habibi Matin ◽  
Omid Mahian ◽  
Somchai Wongwises
Keyword(s):  
Brownian Motion ◽  
Rotating Cylinders ◽  
And Brownian Motion

Continuous Martingales and Brownian Motion

1991 ◽  
Vol 75 (474) ◽  
pp. 498
Author(s):  
J. R. Norris ◽  
D. Revuz ◽  
M. Yor
Keyword(s):  
Brownian Motion ◽  
And Brownian Motion

scholarly journals Geodesic Random Walks, Diffusion Processes and Brownian Motion on Finsler Manifolds

2021 ◽  
Author(s):  
Tianyu Ma ◽  
Vladimir S. Matveev ◽  
Ilya Pavlyukevich
Keyword(s):  
Brownian Motion ◽  
Diffusion Process ◽  
Random Walks ◽  
Diffusion Processes ◽  
Riemannian Metric ◽  
Finsler Manifold ◽  
Finsler Manifolds ◽  
Bounded Geometry ◽  
And Brownian Motion

AbstractWe show that geodesic random walks on a complete Finsler manifold of bounded geometry converge to a diffusion process which is, up to a drift, the Brownian motion corresponding to a Riemannian metric.

scholarly journals LARGE DEVIATIONS FOR FLOWS OF INTERACTING BROWNIAN MOTIONS

2010 ◽  
Vol 10 (03) ◽  
pp. 315-339 ◽  
Author(s):  
A. A. DOROGOVTSEV ◽  
O. V. OSTAPENKO
Keyword(s):  
Brownian Motion ◽  
Large Deviations ◽  
Large Deviation Principle ◽  
Large Deviation ◽  
Stochastic Flows ◽  
Brownian Motions ◽  
Deviation Principle ◽  
And Brownian Motion

We establish the large deviation principle (LDP) for stochastic flows of interacting Brownian motions. In particular, we consider smoothly correlated flows, coalescing flows and Brownian motion stopped at a hitting moment.

Sign in / Sign up

Export Citation Format

Share Document