Summary
A plate to plate mathematical model of a sequential gas-liquid chromatographic separator used for the continuous separation of volatile organic mixtures has been extended to include theoretically determined temperature, pressure and concentration effects. A comparison has been made of predicted values with experimental results obtained on a 12 column (7.6 cm o.d. ×61 cm) sequential continuous chromatograph when separating an equivolume mixture of Arklone P-Genklene P at feed rates of up to 1400 cm3 hr−1.
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Abbreviations
- ao, a1 :
-
constants [11]
- Ap :
-
surface area of theoretical plate
- c:
-
solute concentration in gas phase
- cf :
-
feed concentration in gas phase
- Cs, Cm :
-
resistance to mass transfer in stationary and mobile phases
- df :
-
thickness of stationary phase liquid film
- dp :
-
mean particle diameter
- Dm :
-
mobile phase molecular diffusivity
- Ds :
-
stationary phase molecular diffusivity
- G:
-
gas phase volumetric flow rate
- G′:
-
gas phase volumetric flow rate corrected for presence of solute molecules
- hi :
-
heat of solution of solute in liquid phase
- H:
-
height equivalent to theoretical plate
- K∞ :
-
partial coefficient at infinite dilution
- Mi, Mii :
-
relative molecular masses of solutes
- Mv :
-
solute molar volume at operating temperatures
- q:
-
solute concentration in liquid phase
- q′:
-
configuration factor dependent upon shape of stationary phase layer
- R:
-
retention ration=elution volume/total bed volume
- SLSp :
-
specific heats of liquid and solid phases
- u:
-
average interstitial gas phase velocity
- V:
-
volume of gas passed through plate in terms of “plate volumes”
- V1, V2 :
-
volumes of liquid phase and solid support
- Vn :
-
effective plate volume=(Vn(G)+KVn(L))
- Vn(G) :
-
gas phase volume in plate n
- Vn(L) :
-
liquid phase volume in plate n
- w:
-
factor to allow for non uniformity of velocity profile
- Xgn :
-
concentration of solute in gas phase in plate n
- z:
-
composite thermal conductivity of packed bed
- ψ:
-
operating mobile phase/stationary phase velocity ratio
- α c β c :
-
constants [18]
- θ:
-
excess temperature of plate above its surroundings
- ρLρp :
-
densities of liquid phase and solid support
- γ′:
-
labyrinth factor
- λ:
-
eddy diffusion factor
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Barker, P.E., Bell, D.M. & Deeble, R.E. The mathematical modelling of a production scale sequential continuous chromatographic refiner unit. Chromatographia 13, 334–338 (1980). https://doi.org/10.1007/BF02290900
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DOI: https://doi.org/10.1007/BF02290900