Convective diffusion of aerosol particles flowing non-uniformly into a circular tube: an extended Graetz problem
The influence of the entrance concentration profile on the convective diffusion of aerosol particles suspended in steady Poiseuille flow is analysed. The problem is treated as an extended Graetz problem with a non-uniform inlet distribution of the diffusive constituent. A closed-form solution is derived in the form of an infinite series. All necessary means to evaluate efficiently the analytical solution are provided, including an appropriate recurrence-calculation scheme. Elementary expressions that allow quick estimates of the flux-averaged solution are also given. Detailed results are presented for a number of inlet distributions typically encountered in aerosol experiments. The results show that particle concentration in the flow and particle deposition on the walls are significantly influenced by the form of the inlet profile. In contrast, the length of the entrance region remains practically unaffected. The results also apply to heat transfer problems by an appropriate scaling of the dimensionless variables.
Bibliographic Reference: Article: International Journal of Heat and Mass Transfer (1997)
Record Number: 199710313 / Last updated on: 1997-04-14
Original language: en
Available languages: en