Complex-valued variable and solutions for laminar boundary layers with droplets/particles

Ro'ee Orland, David Katoshevski

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Aerosol concentrations in a boundary layer with downstream velocity variation reveal a bifurcational behavior. The solution of both the flow and concentration fields involves the use of similarity transformations. The similarity solution of the flow field has 3 bifurcating branches: for accelerating flow, for decelerating flow, and a previously unexplored solution for high-rate deceleration which involves complex values of the similarity solution. Although the latter solution involves complex values of the similarity variable, it still leads to an acceptable solution in the physical variables. The bifurcation in the downstream distribution of the aerosol concentration stems from the bifurcation characteristics of the flow, with a further third branch stemming from downstream behavior outside the boundary layer. These results have ramifications to aerosol dynamics (transport, deposition) in boundary layers developed in industrial facilities and sizing instrumentation, over airfoil, as well as in the human respiratory system.

Original languageEnglish
Title of host publication50th Israel Annual Conference on Aerospace Sciences 2010
Pages1043-1049
Number of pages7
StatePublished - 1 Dec 2011
Event50th Israel Annual Conference on Aerospace Sciences 2010 - Tel-Aviv and Haifa, Israel
Duration: 17 Feb 201018 Feb 2010

Publication series

Name50th Israel Annual Conference on Aerospace Sciences 2010
Volume2

Conference

Conference50th Israel Annual Conference on Aerospace Sciences 2010
Country/TerritoryIsrael
CityTel-Aviv and Haifa
Period17/02/1018/02/10

ASJC Scopus subject areas

  • Computer Science (all)
  • Space and Planetary Science
  • Energy Engineering and Power Technology
  • Aerospace Engineering
  • Physics and Astronomy (all)

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