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MASS TRANSFER IN MULTIPHASE SYSTEMS: VOLATILE ORGANIC COMPOUND REMOVAL IN THREE-PHASE SYSTEMS k s M (49) 2 L t Similarly for the liquid and gas: i i N k C C k p p (50) A L A A G A A k k L G L (51) t m (52) 2 atmL t Further complicating mass transfer calculations is the convention to use coefficients in terms of inverse time, 1/t for use in mass transfer rates as opposed to fluxes. Much of the liquid-phase mass transfer literature has many correlations for this conversion. The idea is to apply an area of mass transfer such that: i A L A A k A C C (53) In moles or mass per time. However, in use of the partial differential equations rates are similar and commensurate with chemical kinetics, i.e., rate in moles or mass per unit volume per time. Therefore, the standard usage is to find the area per unit volume or mass, a = A/V (L 2 /L 3 ). The single-phase coefficients then become: 2 M * L ka 1/ s t 2 Lt M (54) 2 L L ka L * 1/ t 3 t L (55) 2 m L kGa * * RT 1/ t 2 3 atmL t L (56) The same were applied to the overall coefficients. However some manipulation has to occur in order to ensure equivalent areas or area averages are being accounted for in different phases, e.g., 1 1 oa K 1 1 1 1 L aave k k a k k a k a k aH D s s D sL s L G A (57) 43
MASS TRANSFER IN MULTIPHASE SYSTEMS: VOLATILE ORGANIC COMPOUND REMOVAL IN THREE-PHASE SYSTEMS Where the a s is the solids area, L 2 /M s and the “a” is the air bubble area, L 2 /L 3 . 44
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MASS TRANSFER IN MULTIPHASE SYSTEMS
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Samuel Clay Ashworth ALL RIGHTS RES
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CURRICULUM VITAE Samuel C. Ashworth
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model results using Polymath, Excel
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Lead process engineer and assistant
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Determination of Viable Processes f
Page 13 and 14: ACKNOWLEDGMENT The work within was
Page 15 and 16: 5.0 INTERPRETATIONS, CONCLUSIONS, A
Page 17 and 18: NOMENCLATURE a a,b, etc. Parameter
Page 19 and 20: Sh v Sherwood number Velocity, L/t
Page 21 and 22: TOTAL CREDITS IN GREENLEAF UNIVERSI
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mass transfer in multiphase systems - Greenleaf University

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