Gaussian diffusion sphere model to predict mass transfer due to diffusional particle deposition on a flat surface in laminar flow regime

Se-Jin Yook; Kang-Ho Ahn
May 2009
Applied Physics Letters;5/11/2009, Vol. 94 Issue 19, p191909
Academic Journal
Gaussian diffusion sphere model (GDSM) was developed to predict mass transfer in a flow parallel to a flat surface in laminar flow regime. The GDSM is based on the prediction of deposition probability of particles by calculating the volume fraction of a sphere overlapping with the surface, where the distance a particle diffuses for a certain time within the sphere is statistically weighted by a Gaussian distribution with the standard deviation equal to the root-mean-square net displacement by Brownian motion. Mean mass transfer coefficient predicted by the GDSM agreed very well with that calculated by the laminar boundary layer theory.


Related Articles

  • Two-dimensional fluid dynamics in a sharply bent channel: Laminar flow, separation bubble, and vortex dynamics. Daichi Matsumoto; Koji Fukudome; Hirofumi Wada // Physics of Fluids;2016, Vol. 28 Issue 10, p1 

    Understanding the hydrodynamic properties of fluid flow in a curving pipe and channel is important for controlling the flow behavior in technologies and biomechanics. The nature of the resulting flow in a bent pipe is extremely complicated because of the presence of a cross-stream secondary...

  • Separation Times Analysis of Unsteady Magnetohydrodynamics Mixed Convective Flow Past a Sphere. Mohammad, N. F.; Kasim, A. R. M.; Ali, A.; Shafie, S. // AIP Conference Proceedings;2014, Vol. 1605, p349 

    The separation of flow for unsteady problem occurred on some events even though the fluid is laminar flow. In this paper, the times when then boundary layer flow start to separate from flowing at the surface of a sphere are investigated in the presence of magnetic field. It is also considered...

  • Theory of Gravity Separation of Particles from Liquid in Cocurrent and Countercurrent Thin-Layer Settlers. Ostrovskii, G. M. // Theoretical Foundations of Chemical Engineering;Sep/Oct2003, Vol. 37 Issue 5, p503 

    The mechanism of gravity separation of particles from the laminar flow of a liquid in a flat channel is studied. This mechanism takes into consideration the particle size distribution, the flow velocity field, and also the conditions for equilibrium of single particles and their structural...

  • A Wind Tunnel Study of the Effects of Turbulence on the Growth of Cloud Drops by Collision and... Vohl, O.; Mitra, S.K. // Journal of the Atmospheric Sciences;12/15/99, Vol. 56 Issue 24, p4088 

    Focuses on a study which investigated the growth of single drops by collision coalescence with small droplets in laminar and turbulent flow. Experimental setup of the study; Examples of typical droplet spectra; Turbulent conditions of the study; Conclusions.

  • A computational study of developing 2-D laminar flow in curved channels. Snyder, B.; Lovely, C. // Physics of Fluids A;Oct90, Vol. 2 Issue 10, p1808 

    Uniform flow entering a curved channel induces an ��upstream influence�� that skews the axial velocity profile toward the center of bend curvature. Skew grows so abruptly that its evolution is difficult to examine experimentally. Therefore the developing viscous flow was...

  • On the weekly nonlinear development of the elliptic instability. Lebovitz, Norman R.; Saldanha, Kenneth I. // Physics of Fluids;Nov99, Vol. 11 Issue 11, p3374 

    Presents results for the outcome of the elliptic instability in laminar flow, investigated by methods of dynamical-systems theory. Use of a systematic truncation criterion that captures any fluid behavior; Exploration of six different regions of parameter space; Observation of four different...

  • A numerical revisit of backward-facing step flow problem. Chiang, T.P.; Sheu, Tony W.H. // Physics of Fluids;Apr99, Vol. 11 Issue 4, p862 

    Discusses laminar flow evolving into a larger channel through the backward-facing step flow format. Flow at the plane of symmetry developing into a two-dimensional-like profile when the channel width id increased up to 100 times of the upstream step height; Topological features of the flow...

  • Stochastic particle motion in laminar flows. Aref, Hassan // Physics of Fluids A;May91, Vol. 3 Issue 5, p1009 

    The practical actions referred to as stirring, mixing, blending, and so on rely on our ability to produce stochastic trajectories of particles within given flow fields. There are time-honored ways of achieving stochastic particle motion within a fluid, in particular, by exploiting molecular...

  • On the linear stability of channel flow over riblets. Ehrenstein, Uwe // Physics of Fluids;Nov96, Vol. 8 Issue 11, p3194 

    Studies channel flow with the lower wall mounted with a streamwise riblets. Computation of laminar flow rate; Stability measurements using infinitesimal perturbations; Linear stability characteristics of riblets; Primary instability level of laminar flow.


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics