Theory of surface deposition from boundary layers containing condensable vapour and particles

Details Theory of surface deposition from boundary layers containing condensable vapour and particles Theory of surface deposition from boundary layers containing condensable vapour and particles

2009-03-08

arxiv.org/abs/0903.1403v1

Journal of Fluid Mechanics 626, 183-210 (2009)

Physics

Condensed Matter

Other Condensed Matter

47 pages, 10 figures, to appear in J. Fluid Mech

Scientific paper

10.1017/S0022112008005624

Heterogeneous condensation of vapours mixed with a carrier gas in the stagnation point boundary layer flow near a cold wall is considered in the presence of solid particles much larger than the mean free path of vapour particles. The supersaturated vapour condenses on the particles by diffusion and particles and droplets are thermophoretically attracted to the wall. Assuming that the heat of vaporization is much larger than the Boltzmann constant times the temperature far from the wall, vapour condensation occurs in a {\em condensation layer} (CL). The CL width and characteristics depend on the parameters of the problem, and a parameter $R$ yielding the rate of vapour scavenging by solid particles is particularly important. Assuming that the CL is so narrow that temperature, particle density and velocity do not change appreciably inside it, an asymptotic theory is found, the $\delta$-CL theory, that approximates very well the vapour and droplet profiles, the dew point shift and the deposition rates at the wall for wide ranges of the wall temperature $\tilde{T}_{w}$ and the scavenging parameter $R$. This theory breaks down for $\tilde{T}_{w}$ very close to the maximum temperature yielding non-zero droplet deposition rate, $\tilde{T}_{w,M}$. For large $R$, we can either assume that the width of the CL is zero (0-CL theory, then the vapour density reaches local equilibrium with the condensate immediately after it enters the dew surface), or use a nonlinear multiple scales theory. The 0-CL theory corrects the $\delta$-CL theory for $\tilde{T}_w$ very close to $\tilde{T}_{w,M}$ and any $R$, whereas the multiple scales theory is appropriate for large and moderate $R$.

Affiliated with

Also associated with

No associations

Rating

Theory of surface deposition from boundary layers containing condensable vapour and particles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Theory of surface deposition from boundary layers containing condensable vapour and particles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Theory of surface deposition from boundary layers containing condensable vapour and particles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-496799