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Enhanced Phase Change Heat Storage of Layered Backfill Body under Different Boundary Conditions

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Abstract

In view of the high temperature problem faced by mining activities, the coordinated mining of ore deposit and geothermal energy is a solution in line with the concept of green mining. The layered backfill body with finned double-pipe heat exchanger continuously exchanges heat with the surrounding thermal environment, which plays an effective role in gathering geothermal energy. In this paper, the heat storage process of each layered backfill body under different boundary conditions is simulated by Fluent. The results show the heat storage characteristic of layered backfill body can be significantly improved by adding fins to the double-pipe heat exchanger. On the whole, the heat storage effect of bottom layer backfill body (BLBB) is the best. The total heat storage capacity of top layer backfill body (TLBB), middle layer backfill body (MLBB) and BLBB with the finned double-pipe heat exchanger is 666.3 kJ, 662.2 kJ, 1003.0 kJ; 1639.0 kJ, 1760.8 kJ, 1911.2 kJ and 1731.1 kJ, 1953.3 kJ, 1962.8 kJ respectively at 1 h, 8 h and 24 h. This study explores the law of heat storage of layered backfill body under different boundary conditions and also expands the idea for layered backfill body to efficiently accumulate geothermal energy.

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Abbreviations

A mush :

mushy zone constant

c p :

specific heat at constant pressure/J·(kg·°C)−1

g :

gravitational acceleration/m·s−2

H :

phase change enthalpy/kJ

H sen :

sensible enthalpy/kJ

ΔH :

latent heat of phase change in the melting process/kJ

h air :

convection heat transfer coefficient of airflow/W·(m2·°C)−1

Δl :

the distance from the bottom of LBB/mm

m :

height of fin/mm

Q :

the total heat storage capacity/kJ

Q :

the heat storage capacity of the layered

Q 1 :

backfill body/kJ

Q 2 :

the heat storage capacity of the double-pipe heat exchanger/kJ

R 1 :

radius of outer pipe/mm

R 2 :

radius of inner pipe/mm

r :

latent heat value of the n-octadecane/kJ·kg−1

S :

source term

T :

temperature/°C

\({\vec u}\) :

flow velocity of liquid phase/m·s−1

V :

volume/m3

\({\vec v}\) :

flow velocity of solid phase/m·s−1

w :

width of fin/mm

β :

liquid fraction

γ :

decrease percentage of Φ/%

ε :

a number less than 0.0001

Θ :

dimensionless temperature

λ :

thermal conductivity/W (m·°C)−1

µ :

kinetic viscosity/kg·(m·s)−1

ρ :

density/kg·m−3

Φ :

heat storage rate/W

ΔΦ :

decrease value of Φ/W

air:

airflow in stope

F:

fin

ini:

initial state of layered backfill body

l:

liquid phase of PCM

ref:

reference value

side:

the side of each layered backfill body

s:

solid phase of PCM

sr:

surrounding rock

t :

a certain time

t+1:

the next time

up:

the upper of each layered backfill body

BLBB:

Bottom layer backfill body

LBB:

Layered backfill body

MLBB:

Middle layer backfill body

PCM:

Phase change material

TLBB:

Top layer backfill body

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Acknowledgments

This research was supported by the National Natural Science Foundation of China (Nos. 51974225, 51874229, 51674188, 51504182, 51904224, 51904225, 51704229), Shaanxi Innovative Talents Cultivate Program-New-star Plan of Science and Technology (No. 2018KJXX-083), Natural Science Basic Research Plan of Shaanxi Province of China (Nos. 2018JM5161, 2018JQ5183, 2015JQ5187, 2019JM-074), Scientific Research Program funded by the Shaanxi Provincial Education Department (Nos. 15JK1466, 19JK0543), China Postdoctoral Science Foundation (No. 2015M582685), and Outstanding Youth Science Fund of Xi’an University of Science and Technology (No. 2018YQ2-01).

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Authors and Affiliations

  1. Energy School, Xi’an University of Science and Technology, Xi’an, 710054, China

    Xiaoyan Zhang, Min Zhao, Lang Liu, Yujiao Zhao, Chao Huan & Bo Zhang

  2. Key Laboratory of Western Mines and Hazards Prevention, Ministry of Education of China, Xi’an, 710054, China

    Lang Liu

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  1. Xiaoyan Zhang
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  2. Min Zhao
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Correspondence to Lang Liu.

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Zhang, X., Zhao, M., Liu, L. et al. Enhanced Phase Change Heat Storage of Layered Backfill Body under Different Boundary Conditions. J. Therm. Sci. 32, 1190–1212 (2023). https://doi.org/10.1007/s11630-023-1787-x

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