Power-free poly(dimethylsiloxane) microfluidic devices for gold nanoparticle-based DNA analysisElectronic supplementary information (ESI) available: Sample movie used for flow characterization, mathematical details of the one-dimensional diffusion model, and time course of the gold nanoparticle deposition. See http://www.rsc.org/suppdata/lc/b4/b403930k/

Lab on a Chip ◽  
2004 ◽  
Vol 4 (3) ◽  
pp. 181 ◽  
Author(s):  
Kazuo Hosokawa ◽  
Kae Sato ◽  
Naoki Ichikawa ◽  
Mizuo Maeda
Keyword(s):  
Gold Nanoparticle ◽  
Diffusion Model ◽  
Time Course ◽  
Microfluidic Devices ◽  
Supplementary Information ◽  
Nanoparticle Deposition ◽  
One Dimensional ◽  
Dimensional Diffusion ◽  
Flow Characterization ◽  
The One

The Simulation of Photocatalysis Degradation of Formaldehyde Using Nano-TiO2 Based on the Diffusion Model

2013 ◽  
Vol 327 ◽  
pp. 8-12
Author(s):  
Bin Li ◽  
Kai Xiao Zhang ◽  
Chao Yu Feng ◽  
Xing Bin Zheng ◽  
Kun Xie ◽  
...  
Keyword(s):  
Experimental Data ◽  
Photocatalytic Degradation ◽  
Diffusion Model ◽  
Degradation Rate ◽  
Nano Tio2 ◽  
Fick's Law ◽  
One Dimensional ◽  
Photocatalytic Mechanism ◽  
Dimensional Diffusion ◽  
The One

In this paper, the one-dimensional diffusion model about nano-TiO2 photocatalytic degradation of formaldehyde process was established ,through analyzing nano-TiO2 photocatalytic mechanism, and verifying the accuracy of the model by the experimental data combined with Fick's law. According to this model, it concluded that the degradation rate of the formaldehyde is related to the height of purification apparatus, and when the height is smaller, the degradation rate is greater. Within the same cleaning time (t = 200min), when the height is 0.15m, the rate of degradation of formaldehyde is 99%; when the height is 0.3m, the rate of degradation of formaldehyde is 88%; while the height is 0.7m , the rate is only 32%.

The American put option in a one-dimensional diffusion model with level-dependent volatility

Stochastics ◽  
2007 ◽  
Vol 79 (1-2) ◽  
pp. 5-25 ◽  
Author(s):  
P. Babilua ◽  
I. Bokuchava ◽  
B. Dochviri ◽  
M. Shashiashvili
Keyword(s):  
Diffusion Model ◽  
One Dimensional ◽  
American Put Option ◽  
Put Option ◽  
Dimensional Diffusion ◽  
American Put

Diffusion-Limited Cell Dehydration: Analytical and Numerical Solutions for a Planar Model

1999 ◽  
Author(s):  
Alexander V. Kasharin ◽  
Jens O. M. Karlsson
Keyword(s):  
Analytical Solution ◽  
Numerical Solutions ◽  
Planar System ◽  
One Dimensional ◽  
Diffusion Limited ◽  
Dimensional Diffusion ◽  
Constant Diffusivity ◽  
A Cell ◽  
Cell Dehydration ◽  
The One

Abstract The process of diffusion-limited cell dehydration is modeled for a planar system by writing the one-dimensional diffusion-equation for a cell with moving, semipermeable boundaries. For the simplifying case of isothermal dehydration with constant diffusivity, an approximate analytical solution is obtained by linearizing the governing partial differential equations. The general problem must be solved numerically. The Forward Time Center Space (FTCS) and Crank-Nicholson differencing schemes are implemented, and evaluated by comparison with the analytical solution. Putative stability criteria for the two algorithms are proposed based on numerical experiments, and the Crank-Nicholson method is shown to be accurate for a mesh with as few as six nodes.

Numerical Solution of the Differential Diffusion Equation for a Steel Carburizing Process

2018 ◽  
Vol 284 ◽  
pp. 1230-1234
Author(s):  
Mikhail V. Maisuradze ◽  
Alexandra A. Kuklina
Keyword(s):  
Diffusion Equation ◽  
Numerical Solution ◽  
Differential Diffusion ◽  
One Dimensional ◽  
The Third ◽  
Dimensional Diffusion ◽  
Simplified Algorithm ◽  
The One ◽  
Carburizing Process ◽  
Precise Assessment

The simplified algorithm of the numerical solution of the differential diffusion equation is presented. The solution is based on the one-dimensional diffusion model with the third kind boundary conditions and the finite difference method. The proposed approach allows for the quick and precise assessment of the carburizing process parameters – temperature and time.

Gravity-induced wrinkle lines in vertical membranes

1981 ◽  
Vol 375 (1762) ◽  
pp. 307-325 ◽  
Keyword(s):  
Heat Flow ◽  
Diffusion Equation ◽  
Vertical Plane ◽  
One Dimensional ◽  
Dimensional Diffusion ◽  
Prime Objective ◽  
Flow Through ◽  
Flexible Membranes ◽  
The One

A theory is presented for the behaviour under self-weight of inextensible but perfectly flexible membranes supported in a vertical plane. Slack in the membrane manifests itself in the formation of (curved) wrinkle lines whose determination is the prime objective. The equilibrium and strain conditions are derived and solutions are given for several simple cases. It is shown that the wrinkle lines satisfy the one-dimensional diffusion equation and hence there are analogies, for example, with heat flow through a slab.

Sign in / Sign up

Export Citation Format

Share Document