motion-apcd - Motion of Aerosol Reading Chap 3.33.4 Newtons...

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9/13/11 Aerosol & Particulate Research Lab 11 Motion of Aerosol Newton’s Resistance Law and Stokes’ Law Cunningham Slip Correction Factor Settling Velocity, Mechanical Mobility Particle Acceleration Aerodynamic Diameter Settling Chamber Brownian Motion & Diffusion Reading: Chap. 3.3- 3.4 http://aerosol.ees.ufl.edu/aerosol_trans/section01.html
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9/13/11 Environmental Engineering Sciences Aerosol & Particulate Research Lab 22 History History : Galileo’s (1564-1642) experiment in Pisa tower Newton’s Resistance Law : The force is proportional to the gas pushed away and the relative velocity between the sphere and the gas (negligible viscous force) V p CD = 0.44 for Rep > 1000 Tim Tebow can be a good air pollution engineer because he knows how to control the movement of particles in the air …..
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9/13/11 Environmental Engineering Sciences Aerosol & Particulate Research Lab 33 Stokes Law : negligible inertial force compared to viscous force ( Rep < 1) Reynolds Number: inertial force/frictional force Two major parameters: V & dp Plot CD as a function of Rep for Newton’s Law Plot CD as a function of Rep for Stokes’ Law Transition Regime
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9/13/11 Environmental Engineering Sciences Aerosol & Particulate Research Lab 44 What is the max velocity of a particle to be in the Stokes regime? 1 μ μ , 1 0 μ μ , 1 0 0 μ μ (ρ γ = 1 .2 κ γ /μ 3 ; μ = 1 .8 1 ⋅ 1 0 -5 Πα σ 29
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9/13/11 Environmental Engineering Sciences Aerosol & Particulate Research Lab 55 Categorize aerosol movement based on interaction between the particle and gas molecules Mean free path of gas ( λ 29 αωεραγ ε διστ ανχε
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