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Theoretical study of combined heat and mass transfer process during paper drying

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Abstract

Theoretical and experimental study of the paper drying process are presented. A mathematical model developed for combined heat ad mass transfer analysis of paper drying is given for both impinging air jets and through air drying methods. In this model, it is simply assumed that during the drying period of the paper has porous media and on the drying surface the vapour pressure of the evaporating liquid remains at a quasi-saturated value corresponding to the temperature of the liquid. The calculated transient paper temperatures in both methods agree well with the experimental results.

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Abbreviations

A s :

surface area (m2)

B :

slot (nozzle) width (mm)

C :

concentration (kg/m3)

c p :

specific heat (J/kgK)

D :

diffusion coefficient (m2/s)

h fg :

enthalpy of evaporation (J/kg)

h :

heat transfer coefficient (W/m2K)

k c :

mass transfer coefficient (m/s)

L :

distance from stagnation point (m)

Le:

Lewis number (k/ρ cpD)

M :

molecular weight (kg/kmol)

m :

mass (kg)

\(\dot m_{\text{b}} \) :

the rate of evaporation (kg/s)

\(\dot m_{\text{D}} \) :

mass transfer rate (kg/s)

Nu:

Nusselt number (hB/k)

P:

pressure (N/m2)

Ru:

universal gas constant (J/kgK)

Re:

Reynolds number (vAB/ν)

T :

temperature (°C)

t :

time (s)

V :

volume (m3)

v :

air velocity (m/s)

υ :

kinematic viscosity (m2/s)

ρ:

density (kg/m3)

θ:

temperature difference (°C)

\(\dot Q\) :

rate of energy transfer (W)

x :

moisture content (%)

A:

drying air

s:

surface

E:

nozzle exit

-:

average value

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Authors and Affiliations

  1. Faculty of Engineering and Architecture, Department of Mechanical Engineering, Gorukle Campus, Uludag University, 16059, Bursa, Turkey

    A. B. Etemoglu, M. Can, A. Avcı & E. Pulat

Authors
  1. A. B. Etemoglu
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  2. M. Can
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  3. A. Avcı
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  4. E. Pulat
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Correspondence to M. Can.

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Etemoglu, A.B., Can, M., Avcı, A. et al. Theoretical study of combined heat and mass transfer process during paper drying. Heat Mass Transfer 41, 419–427 (2005). https://doi.org/10.1007/s00231-004-0538-0

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