What is the formula of coefficient of diffusion?
The diffusion coefficient is often defined as the ratio of flux density to the negative of the concentration gradient in direction of diffusion, then according to Fick’s law:(2.1)Ji=−Didφdywhere J is the transfer rate (kg/m2s); From: Basic Equations of the Mass Transport through a Membrane Layer, 2012.
What is Fick’s Law of Diffusion equation?
Fick’s First Law Movement of solute from higher concentration to lower concentration across a concentration gradient. J = − D d φ d x. Where, J: diffusion flux. D: diffusivity.
What is the Smoluchowski equation?
In statistical physics, the Smoluchowski coagulation equation is a population balance equation introduced by Marian Smoluchowski in a seminal 1916 publication, describing the time evolution of the number density of particles as they coagulate (in this context “clumping together”) to size x at time t.
How do you calculate molar flux?
Flux = rate of mass transfer per unit surface area normal to the direction of transport; units are mol/cm2-s or gm/cm2-s.
What is eddy mixing?
Eddy diffusion, eddy dispersion, or turbulent diffusion is a process by which substances are mixed in the atmosphere, the ocean or in any fluid system due to eddy motion. In other words, it is mixing that is caused by eddies that can vary in size from subtropical ocean gyres down to the small Kolmogorov microscales.
What is Helmholtz Smoluchowski velocity?
It is based on the concept of the Helmholtz-Smoluchowski velocity which is widely adopted in the electroosmotic flows of Newtonian fluids. It is shown that the Helmholtz-Smoluchowski velocity for viscoelastic fluids can be found by solving a simple cubic algebraic equation.
What is called Brownian motion?
Brownian motion, also called Brownian movement, any of various physical phenomena in which some quantity is constantly undergoing small, random fluctuations. It was named for the Scottish botanist Robert Brown, the first to study such fluctuations (1827).