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A transient model for predicting psychrometric properties of air at an intake shaft bottom of shallow depth working

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Abstract

Heat transfer in shallow mine inlets is affected by several factors. These include, among others, the surface climate, the cyclic variability of ground temperature in the top 20–25 m of ground, and virgin rock temperature. The conventional climate simulation models cannot be readily applicable due to cyclic variations and the resultant thermal flywheel effect. Therefore, it is necessary to incorporate recent air-temperature history as the input into the simulation where the variation in underground climate is directly dependent on the variations in atmospheric conditions on the surface. For this purpose, a method is proposed to calculate the surface temperature of rock surrounding the airway based on Duhamel’s theorem. A mathematical model is established to predict the psychrometric properties at the shaft bottom. The Python language is used for numerical calculations. The prediction results given by the presented underground climate simulation model are noted to be largely in agreement with the measured values at the shaft bottom.

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Data availability

The raw data used in this work can be obtained from the corresponding author upon reasonable request.

Abbreviations

TFE:

Thermal flywheel effect

UMS:

Underground measurement station

VRT:

Virgin rock temperature

α :

Thermal diffusivity (m2 s−1)

C r :

Specific heat capacity of rock (J kg−1 ºC −1)

e :

Vapor pressure at the air temperature (Pa)

e s :

Saturated vapor pressure at the rock surface temperature (Pa)

h :

Heat transfer coefficient (W m−2 ºC-1)

h c :

Convective heat transfer coefficient (W m−2 ºC-1)

K :

Thermal conductivity (W m−1 ºC−1)

L s :

Latent heat of evaporation at rock surface temperature (J kg−1)

mfr :

Mass flow rate (kg s−1)

P :

Barometric pressure (Pa)

Q l :

Latent heat flow (W)

q :

Heat flux (W m−2)

q d :

Dry heat flux (W m−2)

q w :

Wet heat flux (W m−2)

ρ r :

Rock density (kg m−3)

Td :

Dry-bulb temperature (ºC)

Ts :

Rock surface temperature (ºC)

Tw :

Wet-bulb temperature (ºC)

wf :

Equivalent wetness factor

X :

Moisture content (kg kgda−1)

X r :

Moisture addition rate (kg moisture s−1)

1:

Inlet

2:

Outlet

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Acknowledgements

Aditya Pandey would like to thank MHRD, Govt. of India, for the Ph.D. research fellowship. The authors would also like to thank IIT Kharagpur for supporting this research work.

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Authors and Affiliations

  1. Department of Mining Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, 721302, India

    Aditya Pandey & Bhamidipati S. Sastry

  2. South Dakota School of Mines and Technology, Rapid City, SD, USA

    Srivatsan J. Sridharan

Authors
  1. Aditya Pandey
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  2. Srivatsan J. Sridharan
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  3. Bhamidipati S. Sastry
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Contributions

Aditya Pandey: Investigation, Methodology, Formal Analysis, Software, Writing – original draft, Writing – Review and editing. Srivatsan J. Sridharan: Software, Writing – Review and editing. Bhamidipati S. Sastry: Conceptualization, Supervision, Writing – Review and Editing.

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Correspondence to Aditya Pandey.

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The authors declare no competing interests.

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Responsible Editor: Murat Karakus

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Pandey, A., Sridharan, S.J. & Sastry, B.S. A transient model for predicting psychrometric properties of air at an intake shaft bottom of shallow depth working. Arab J Geosci 15, 1396 (2022). https://doi.org/10.1007/s12517-022-10679-1

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