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Required ultracentrifugal time for condensing solution by ultracentrifuge

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Abstract

Required ultracentrifugal time for condensing a solution by ultracentrifuge with an angle rotor or a swing rotor was estimated by considering the calculated distribution of concentration in an ultracentrifugal tube. From the calculated distribution of the concentration a free boundary between solvent and solution was found in the ultracentrifugal tube under the condition that t*>0.25. A condense constant was newly defined as the ratio of the mean concentration in the ultracentrifugal tube after removing the solvent to the concentration of initial solution. The equation determining the required ultracentrifugal time for condensing a solution up to a given condense constant is derived and solved numerically. The required ultracentrifugal time for an angle rotor was shorter than that for a swing rotor.

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Abbreviations

c kg/m3 :

concentration of solute

c A kg/m3 :

concentration of solute for angle rotor

c S kg/m3 :

concentration of solute for swing rotor

D cm2/s:

diffusion coefficient

d cm:

diameter of ultracentrifugal tube

E :

condense constant

k 1 :

dimensionless constant

k 2 :

dimensionless constant

r cm:

radial coordinate

r 1 cm:

minimum radius of ultracentrifugal tube

r 2 cm:

maximum radius of ultracentrifugal tube

r b cm:

radius of free boundary

s s:

sedimentation constant

t s:

time

t r s:

required ultracentrifugal time

α :

dimensionless parameter

θ :

inclination of ultracentrifugal tube

ω s−1 :

angular velocity of rotation

*:

dimensionless

References

  1. Shiragami, N.; Kajiuchi, T.: Precipitation of protein by ultracentrifuge with angle rotor I. Model for sedimentation process. Bioprocess Eng. 5 (1990) 85–88

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  2. Shiragami, N.; Kajiuchi, T.; Matsuda, A.: Precipitation of protein by ultracentrifuge with angle rotor II. Experimental. Bioprocess Eng. 5 (1990) 103–105

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Authors and Affiliations

  1. Department of Bioengineering, Tokyo Institute of Technology, 2-12-1 Oookayama, Meguro-ku, Tokyo

    N. Shiragami & K. Ohtomo

  2. Department of Environmental Chemistry and Engineering, Tokyo Institute of Technology, 4259 Nagatsuta, Midori-ku, Yokohama, Japan

    T. Kajiuchi

Authors
  1. N. Shiragami
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  2. T. Kajiuchi
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  3. K. Ohtomo
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Shiragami, N., Kajiuchi, T. & Ohtomo, K. Required ultracentrifugal time for condensing solution by ultracentrifuge. Bioprocess Engineering 5, 165–167 (1990). https://doi.org/10.1007/BF00369580

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  • DOI: https://doi.org/10.1007/BF00369580

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