Abstract
The ice crystal particles are easy to enter into the seawater cooling system of polar ship together with seawater when it sails in the Arctic. They are easy to accumulate in the pipeline, causing serious blockage of the cooling pipe. In this study, the flow and melting characteristics of ice particles-seawater two-phase flow in inlet straight pipe of shell-and-tube heat exchanger were numerically simulated by using Eulerian-Eulerian two-fluid model coupled with the interphase heat and mass transfer model. The influences of inlet ice packing factor, ice crystal particle diameter, and inlet velocity on the distribution and melting characteristics of ice crystals were investigated. The degree of asymmetry of the distribution of ice crystals in the cross section decreases gradually when the IPF changes from 5 to 15%. The volume fractions of ice crystals near the top of the outlet cross section are 19.59, 19.51, and 22.24% respectively for ice packing factor of 5, 10 and 15%. When the particle diameter is 0.5 mm, the ice crystals are gradually stratified during the flow process. With particle diameters of 1.0 and 2.0 mm, the region with the highest volume fraction of ice crystals is a small circle and the contours in the cloud map are compact. The greater the inlet flow velocity, the less stratified the ice crystals and the more obvious the turbulence on the outlet cross section. The average volume fraction of ice crystals along the flow direction is firstly rapidly reduced and then stabilized after 300 mm.
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Abbreviations
- C D :
-
Drag force coefficient
- d s :
-
Solid particle diameter, mm
- e ss :
-
Particles-particles restitution coefficient
- F :
-
Force, N
- go :
-
Particle radial distribution function
- h :
-
Enthalpy, J·kg−1
- hv :
-
Interphase heat transfer coefficient
- ΔH :
-
Latent heat, kJ·kg−1
- I :
-
Unit vector
- \( {k}_{\theta_s} \) :
-
Diffusion coefficient
- k sl :
-
Momentum exchange coefficient
- k :
-
Auxiliary parameter
- \( \dot{m} \) :
-
Mass transfer rate, kg·m·s−1
- P r :
-
Prandtl number
- P :
-
Pressure, pa
- Res :
-
Reynolds number
- T :
-
Temperature, k
- U :
-
Mean velocity, m·s−1
- v :
-
Velocity, m·s−1
- ρ :
-
Density, kg·m−3
- α :
-
Volume fraction, vol%
- λ :
-
Thermal conductivity, W·m−1·K−1
- μ :
-
Viscosity, Pa·s
- ξ:
-
Bulk viscosity, Pa·s
- τ :
-
Stress tensor, pa
- θ s :
-
Particle temperature, k
- \( {\gamma}_{\theta_s} \) :
-
Collisional dissipation of energy, kg·m−1·s−3
- δ ls :
-
Energy of the interphase conversion, kg·m−1·s−3
- D :
-
Diameter
- l :
-
Liquid
- s :
-
Solid
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Acknowledgements
This work is financially supported by the National Natural Science Foundation of China (Grant no. 51479152).
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Xu, L., Huang, CX., Huang, ZF. et al. Numerical simulation of flow and melting characteristics of seawater-ice crystals two-phase flow in inlet straight pipe of shell and tube heat exchanger of polar ship. Heat Mass Transfer 54, 3345–3360 (2018). https://doi.org/10.1007/s00231-018-2344-0
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DOI: https://doi.org/10.1007/s00231-018-2344-0