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Modern Modelling Methods in Drying

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Abstract

Several modern modelling techniques are presented as tools for drying science and technology, namely pore networks, discrete element method and population balances. After first presenting results from their own research, the authors indicate what future contributions to a better understanding of the drying process at different levels—single porous particles, agitated and fluidised beds—may be expected.

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Abbreviations

A :

Pore throat cross section [m2]

c p :

Heat capacity [kJ kg−1 K−1]

f :

Number density [m−3 kg−1]

G :

Rate of drying/wetting [kg s−1]

L :

Capillary or pore throat length [m]

l :

Amount of liquid [kg]

\(\dot{M}\) :

Mass flow rate [kg s−1]

\(\tilde{M}\) :

Molar mass [kg kmol−1]

m l :

Liquid mass density [kg−3]

N mix :

Mixing number [–]

n :

Rotational frequency [s−1]

n :

Number density [s−1] or [m−3]

\(\dot{n}\) :

Number flow rate [s−2]

\(\tilde{R}\) :

Ideal gas constant [kJ kmol−1 K−1]

p :

Pressure [Pa]

r :

Radius [m]

r 0 :

Mean radius [m]

s :

Meniscus position [m]

T :

Absolute temperature [K]

t :

Time [s]

t mix :

Revolution time [s]

t R :

Mixing time [s]

v :

Particle volume [m3]

z :

Space coordinate [m]

Greek symbols :

 

α:

Heat transfer coefficient [W m−2 K−1]

β:

Mass transfer coefficient [m s−1]

β:

Agglomeration kernel [s−1]

δ:

Binary diffusion coefficient [m2 s−1]

ζ:

Dimensionless position [–]

η:

Dynamic viscosity [Pa s]

λ:

Thermal conductivity [Wm−1 K−1]

\(\dot{\nu}\) :

Dimensionless drying rate [–]

ρ:

Density [kg m−3]

σ:

Surface tension [N m−1]

σ0 :

Radius standard deviation [m]

τ:

Age of particle [s]

ψ:

Porosity [–]

Subscripts :

 

bed:

(Penetration into) Bed

I:

First drying period

v:

Vapour

ws:

Wall-to-bed

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Authors and Affiliations

  1. Chair of Thermal Process Engineering, Otto-von-Guericke-University, P.O. 4120, D-39016, Magdeburg, Germany

    Thomas Metzger, Marzena Kwapinska, Mirko Peglow, Gabriela Saage & Evangelos Tsotsas

Authors
  1. Thomas Metzger
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  2. Marzena Kwapinska
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  3. Mirko Peglow
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  4. Gabriela Saage
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  5. Evangelos Tsotsas
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Correspondence to Thomas Metzger.

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Metzger, T., Kwapinska, M., Peglow, M. et al. Modern Modelling Methods in Drying. Transp Porous Med 66, 103–120 (2007). https://doi.org/10.1007/s11242-006-9025-z

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