Abstract
This article discusses the rapid transport of polymers in terms of diffusional or diffusional-related processes. In particular it reviews:
-
1.
Polymer and solvent diffusion in binary systems.
-
2.
Polymer transport in ternary systems including an analysis of the cross diffusion coefficients and component distribution within the systems.
-
3.
Macromolecular transport in transient polymeric networks and an introduction to the observation of rapid migration in such systems.
-
4.
Detailed discussion of measurement of and factors involved in rapid polymer transport in multicomponent systems.
-
5.
Identification of structured flows associated with rapid polymer transport and some simple mechanistic interpretations.
-
6.
Rapid polymer transport and model biological systems.
The aim of the article is to introduce new observations of diffusive-convective phenomena in polymer chemistry. The processes discussed are of significance to those interested in transport phenomena.
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Abbreviations
- A:
-
constant
- A:
-
surface area
- An :
-
nth virial coefficient
- At :
-
absorbance at 237 nm at time t
- C:
-
concentration in mass/volume units
- CA, CB :
-
concentration above and below the boundary, respectively
- Co :
-
initial concentration
- C*:
-
critical polymer concentration
- (D)o :
-
diffusion coefficient at infinite dilution
- Dcoop :
-
co-operative diffusion coefficient
- D +i :
-
intradiffusion or self-diffusion coefficient
- (D)v :
-
mutual diffusion coefficient in a volume-fixed frame of reference.
- Dii, Dij :
-
principal and cross-diffusion coefficients, respectively
- Đij :
-
Stefan-Maxwell diffusion coefficient
- fij :
-
frictional coefficient per mole of i
- Ji :
-
flux of i
- (Ji)v :
-
flux of i in a volume-fixed reference frame
- L:
-
concentration of rods expressed as cm polymer per cm3 solution
- Lij :
-
phenomemological coefficients
- m:
-
molar concentration
- M:
-
molecular weight (number average)
- \(\bar M_n\) :
-
number average molecular weight
- \(\bar M_w\) :
-
weight average molecular weight
- Q:
-
amount transported over a boundary
- r:
-
radius of diffusing particle
- R:
-
universal gas constant
- S:
-
sedimentation coefficient
- t:
-
time
- T:
-
temperature
- T:
-
transport coefficient
- Tc :
-
transport coefficient obtained by diffusional analysis employing the open-ended capillary technique
- v:
-
velocity
- Vc :
-
critical volume
- Vi :
-
molar volume of i
- \(\bar V_i\) :
-
partial specific volume of i
- xi :
-
fraction of species i
- ζ:
-
frictional coefficient
- η:
-
viscosity
- ηrel :
-
relative viscosity
- η0 :
-
solvent viscosity
- μi :
-
chemical potential of i
- ξ:
-
distance between successive contact points in a transient network or ‘length of blob’
- Π:
-
osmotic pressure
- ϱ:
-
density
- PEG:
-
poly(ethyleneglycol)
- PVA:
-
poly(vinyl alcohol)
- PVP:
-
poly(vinylpyrrolidone)
- dextran Tn:
-
dextran, \(\bar M_w \simeq 1000 \times n\)
- HTO:
-
Tritiated water
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Comper, W.D., Preston, B.N. (1984). Rapid polymer transport in concentrated solutions. In: Solar Energy-Phase Transfer Catalysis-Transport Processes. Advances in Polymer Science, vol 55. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12592-2_6
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