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Rheology of Penicillium chrysogenum pellet suspensions

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Summary

Shear diagrams of Penicillium chrysogenum pellet suspensions were measured in a Couette viscosimeter, developed for pellet suspensions as functions of the pellet volumetric fraction. At low pellet concentrations the suspensions show pseudoplastic behavior. The variation of the apparent viscosity, η s, with the relative pellet volume fraction E X/E m and the shear rate D can be described by the relationship:

$$\eta _s = \left( {\frac{{E_X /E_M }}{{1 - E_X /E_M }}} \right)^2 C^2 D^{ - b(E_X /E_M )} $$

where E X is the pellet volume fraction and E m the maximum pellet volume fraction in the medium, C and b ≃ 1 are constants.

The relationship holds true in the range η s ⩾ 20 η s, D≥10 s−1 and E X/E m<0.08, where η 0 is the viscosity of the cellfree medium.

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Abbreviations

a :

Fitting parameter in Eq. (4) -and with different meaning -in Eq. (5) and van der Waals parameter Pa m6 mol2 in Eq. (10)

b :

Fitting parameter in Eq. (4) -and van der Waals parameter m3 mol−1 in Eq. (10) and fitting parameter with different Meaning in Eq. (14) and -elsewhere

C :

Model parameter (Pa s)0.5

C 1 :

Fitting parameter in Eq. (2) (Pa s)0.5

C 2 :

Fitting parameter in Eq. (2) (Pa s)0.5

C 3 :

Fitting parameter in Eq. (3) Pa m3

c′:

Coefficient in Eq. (14) and (17) (Pa)−1s−1

D :

Shear rate s−1

d :

Particle diameter m

E :

Power W

E m :

Maximum pellet volume fraction -

E x :

Actual pellet volume fraction -

h s2 :

Fitting parameter in Eq. (5)

K c :

Limiting viscosity in Eq. (1) Pa s

k :

Consistency index Pa sm

m :

Flow behavior index -

n :

Mole number -

n′:

Number of pellets -

P :

Pressure Pa

P p :

Pressure of pellets exerted Pa on the wall

R :

Gas constant JK−1mol−1

R′:

Coefficient kJ m−3

T :

Temperature

V :

(Medium) volume m3

V p :

Pellet volume m3

η:

Dynamic viscosity Pa s

η s :

Apparent viscosity of pellet Pa s suspension

η σ :

Viscosity of cell-free medium Pa s

η r=η s η 0 − :

Relative viscosity -

τ:

Sheer stress Pa

τ0 :

Yield stress Pa

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Authors and Affiliations

  1. Institut für Technische Chemie, Universität Hannover, Callinstr. 3, D-3000, Hannover, Federal Republic of Germany

    R. Wittler, R. Matthes & K. Schügerl

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  1. R. Wittler
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  2. R. Matthes
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  3. K. Schügerl
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Wittler, R., Matthes, R. & Schügerl, K. Rheology of Penicillium chrysogenum pellet suspensions. European J. Appl. Microbiol. Biotechnol. 18, 17–23 (1983). https://doi.org/10.1007/BF00508124

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  • DOI: https://doi.org/10.1007/BF00508124

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