Study on the effect of temperature on the gas–liquid mass transfer rate of volatile liquid


The high volatility liquids in industrial production are easily vaporized and diffuses into the workplace, posing a hazard. The volatility liquid gas–liquid mass transfer rate is calculated based on the mass loss measured in experiments. In this paper, the relation between the gas–liquid mass transfer rate and the liquid temperature and air flow rate above the liquid is analysed. Based on the gas–liquid mass transfer rate model proposed by Donald Mackay, combined with Maxwell’s rate distribution law, a new temperature correction term was proposed to correct Mackay’s gas–liquid mass transfer theory. The results show that the higher the liquid temperature of n-pentane is, the higher the air flow rate above the liquid surface and the higher the gas–liquid mass transfer rate are. According to the experimental results, the temperature correction term coefficient is 0.560, and the variance is 0.011. A corrected gas–liquid mass transfer rate calculation model is obtained. Vertical flow liquid column gas–liquid transfer experiments are conducted, and the temperature and temperature change before and after the experiments are obtained for liquid columns of different diameters. The difference between the new model calculation results and the experimental values is no more than 4.20%. The model error of the gas–liquid mass transfer rate calculation model after temperature correction is small.

Graphic abstract

The mass loss of the n-pentane liquid pool in the air passage was measured by experiment, and the gas–liquid mass transfer rate was obtained. The influence of temperature on mass transfer rate is proposed. Combined with Mackay’s gas–liquid mass transfer theory, a new gas–liquid mass transfer rate calculation method is obtained, and its correctness is verified by experiments.

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Data availability statement

This manuscript has data included as electronic supplementary material.


A :

Area of liquid surface (m2)

C :

Coefficient of gas–liquid mass transfer rate

d :

Liquid column diameter (m)

D M :

Liquid molecular diffusion coefficient in air (m2 s−1)

\( D_{{{\text{H}}_{2} {\text{O}}}} \) :

Water molecular diffusion coefficient in air (m2 s−1)

E p :

Kinetic energy of thermal motion (J)

E k :

Molecular potential energy (J)

g :

Gravitational acceleration, 9.8 m s−2

h :

Drop height of the fluid flow (m)

K :

Gas–liquid mass transfer term (m s−1)

M W :

Molar mass of liquid (kg kmol−1)

\( M_{{{\text{H}}_{2} {\text{O}}}} \) :

Molar mass of water (kg kmol−1)

n :

Normal paraffin in number of C atoms

P V :

Saturated vapour pressure (Pa)

Q :

Gas–liquid mass transfer rate before correction (g s−1 m−2)

\( Q^{\prime} \) :

Gas–liquid mass transfer rate after correction (g s−1 m−2)

R :

Gas constant, 8314 J kmol−1 K−1


Schmidt number

T :

Temperature of liquid surface (K)

T 0 :

Initial flow temperature (K)

T 1 :

Final flow temperature (K)

T 10 :

Temperature at 10 mm below the surface of the liquid (K)

T b :

Boiling point (K)

T l :

Liquid temperature (K)

v :

Wind speed above the liquid surface (m s−1)

v 0 :

Initial drop speed of the fluid flow (m s−1)

v x :

Parallel wind speed (m s−1)

v y :

Vertical ground fluid flow speed (m s−1)


Constant of temperature calculation

θ T :

Temperature correction

κ :

Coefficient of temperature correction

ν :

Kinematic viscosity coefficient (m2 s−1)

ρ l :

Density of liquid (kg m−3)

ρ g :

Density of gas (kg m−3)

χ :

Liquid equivalent diameter (m)

ω :

Coefficient of temperature calculation


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This work is supported by the National Natural Science Foundation of China—China (Grant No. 11572044), Project funded by China Postdoctoral Science Foundation (2019M660488).

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Correspondence to Wenjie Liu.

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Liu, W., Bai, C., Liu, Q. et al. Study on the effect of temperature on the gas–liquid mass transfer rate of volatile liquid. Eur. Phys. J. Plus 135, 437 (2020).

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