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No need to solve all the problem which ever you know just solve that Sampling losses in tubes ( after Nazaroff 2 0 0 8
No need to solve all the problem which ever you know just solve that Sampling losses in tubes after Nazaroff and Friedlander Outside air is delivered to the instruments of an air monitoring station through a D cm inside diameter copper tube at volumetric flow rate of Q Lmin The tube is horizontally oriented and is L m long. Answer the following questions to evaluate the transmission efficiency of particles through this tube. Consider unit density particles with a size range of mu m dp mu m Deposition occurs by means of Brownian diffusion and gravitational settling. a If the Reynolds number Re based on tube diameter is less than then the flow in the boundary layer along the pipe walls will remain laminar. What is the Reynolds number for this system? b For laminar flow, the air velocity profile evolves from uniform at the inlet to parabolic over a distance of approximately D Re Over what fraction of the length of this tube is the flow undeveloped ie not yet fully parabolic c Use the approach developed in lecture, based on magnitude analysis, to predict the particle penetration efficiency as a function of diameter. Equations are reproduced below. d Repeat the analysis of part c using the results from the papers by D B Ingham Journal of Aerosol Science, and J Pich Aerosol Science, to evaluate the penetration efficiency. Equations are reproduced below. e Plot your results from c and d How well do the results of the magnitude analysis c compare with the more detailed analysis results dEquations: a Results of magnitude analysis for particle penetration through a tube: only valid if ; otherwise set tube length; tube diameter; gravitational settling velocity; volume flow rate through tube; Brownian diffusivity of particles b Results for gravitational penetration, from Pich valid ; otherwise c Results for Brownian diffusion, from Ingham expexpexpexp
No need to solve all the problem which ever you know just solve that
Sampling losses in tubes after Nazaroff and Friedlander
Outside air is delivered to the instruments of an air monitoring station through a D
cm inside diameter copper tube at volumetric flow rate of Q Lmin The tube is
horizontally oriented and is L m long. Answer the following questions to evaluate
the transmission efficiency of particles through this tube. Consider unit density particles
with a size range of mu m dp mu m Deposition occurs by means of Brownian
diffusion and gravitational settling.
a If the Reynolds number Re based on tube diameter is less than then the
flow in the boundary layer along the pipe walls will remain laminar. What is the
Reynolds number for this system?
b For laminar flow, the air velocity profile evolves from uniform at the inlet to
parabolic over a distance of approximately D Re Over what fraction of the
length of this tube is the flow undeveloped ie not yet fully parabolic
c Use the approach developed in lecture, based on magnitude analysis, to predict
the particle penetration efficiency as a function of diameter. Equations are
reproduced below.
d Repeat the analysis of part c using the results from the papers by D B Ingham
Journal of Aerosol Science, and J Pich Aerosol Science,
to evaluate the penetration efficiency. Equations are reproduced below.
e Plot your results from c and d How well do the results of the magnitude
analysis c compare with the more detailed analysis results dEquations:
a Results of magnitude analysis for particle penetration through a tube:
only valid if ; otherwise set
tube length; tube diameter; gravitational settling velocity; volume flow rate
through tube; Brownian diffusivity of particles
b Results for gravitational penetration, from Pich
valid ; otherwise
c Results for Brownian diffusion, from Ingham
expexpexpexp
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