Analytical approximation to the fully developed concentration profile of diffusive aerosol particles in laminar flow in a circular tube

作者：Alonso M^*; Alguacil F J; Huang C H

来源：Journal of Aerosol Science, 2010, 41(4): 413-417.

DOI：10.1016/j.jaerosci.2010.02.003

• Aerosol diffusion
• Laminar flow tube
• Fully developed concentration profile

An analytical approximation is presented for the dimensionless concentration profile n(r,x) of aerosol particles of diffusion coefficient D flowing with mean axial velocity (u) over bar in a cylindrical tube of length L and radius R,
n(r,x) = n(max)(x)f(r)=C exp(-lambda beta x)[1- 1/11(18r(2)-9r(4)+2r(6))]
wherein C=1.477 and lambda=3.659 are fit constants to the numerical solution of the convection-diffusion equation for beta x = DLx/(u) over barR(2) >= 0.2, i.e. for fully developed concentration profile.

• 出版日期2010-4