THERMAL SCIENCE
International Scientific Journal
NUMERICAL STUDY ON NUSSELT NUMBER OF MOVING PHASE INTERFACE DURING WAX MELTING IN TUBE USING LATTICE BOLTZMAN METHOD
ABSTRACT
Paraffin melting is widely applied to the fields of PCM energy storage, gathering and transportation pipe-line paraffin removal, etc. Natural-convection is the main heat transfer mode during paraffin melting, and Rayleigh number is an important factor affecting the change of natural-convection intensity. Nusselt number variation can reflect the influence of natural-convection on heat transfer. The conventional Nusselt number of hot wall surface reflects only the convective heat transfer intensity of the fixed wall, while it does not take into account that the phase change interface has the characteristics of moving in the phase change process. A double distribution model of paraffin phase transformation in circular tube based on lattice Boltzmann method is established in this paper. The influence of Rayleigh number on the temperature field and flow field of wax in circular tube is analyzed. The heat transfer process is reflected by Nusselt number of moving phase interface. The relation between Nusselt number of moving interface and Nusselt number of hot wall surface is also presented. The results show that the Nusselt number of moving phase interface can reflect the complex non-linear characteristics of natural-convection and describe the phase change heat transfer process of wax more accurately. Calculation formula of Nusselt number of moving phase interface and hot wall during wax phase change is proposed. Increasing Rayleigh number can quicken the melting of wax to meet the actual engineering requirements.
KEYWORDS
PAPER SUBMITTED: 2021-12-26
PAPER REVISED: 2022-03-13
PAPER ACCEPTED: 2022-03-15
PUBLISHED ONLINE: 2022-05-22
THERMAL SCIENCE YEAR
2022, VOLUME
26, ISSUE
Issue 6, PAGES [4957 - 4967]
- Gan, Y. , et al. , Molecular Dynamics Simulation of Waxy Crude Oil Multiphase System Depositing and Sticking on Pipeline Inner Walls and the Micro Influence Mechanism of Surface Physical - Chemical Characteristics , Energy & Fuels , 35 . (2021), 5, pp. 4012 - 4028, DOI No. 10.1021/acs.energyfuels.0c04259.
- Liu, X. , et al. , Numerical investigation of waxy crude oil paste melting on an inner overhead pipe wall , Applied Thermal Engineering , 131 . (2018), pp. 779 - 785, DOI No. 10.1016/j.applthermaleng.2017.11.125.
- Makwashi, N. , et al. , Study on Waxy Crudes Characterisation and Chemical Inhibitor Assessment , Journal of Petroleum Science and Engineering . (2021), 34, p. 108734 , DOI No. 10.1016/j.petrol.2021.108734.
- Li, W. , et al. , Advances and Future Challenges of Wax Removal in Pipeline Pigging Operations on Crude Oil Transportation Systems , Energy Technology , 8 . (2020), 6, p. 1901412 , DOI No. 10.1002/ente.201901412.
- Xu, Y. , et al. , Heat transfer analysis of waxy crude oil under a new wide phase change partition model , Numerical Heat Transfer, Part A: Applications , 76 . (2019), 12, pp. 991 - 1005, DOI No. 10.1080/10407782.2019.1677071.
- Yu, G. , et al. , A new general model for phase - change heat transfer of waxy crude oil during the ambient - induced cooling process , Numerical Heat Transfer, Part A: Applications , 71 . (2017), 5, pp. 511 - 527, DOI No. 10.1080/10407782.2016.1277934.
- Yu, G. , et al. , Further study on the thermal characteristic of a buried waxy crude oil pipeline during its cooling process after a shutdown , Numerical Heat Transfer, Part A: Applications , 71 . (2017), 2, pp. 137 - 152, DOI No. 10.1080/10407782.2016.1264722.
- J iang, H. , et al. , Numerical study for removing wax deposition by thermal washing for the waxy crude oil gathering pipeline , Sci Prog , 103 . (2020), 3, p. 36850420958529, DOI No. 10.1177/0036850420958529.
- Li, X. , et al. , Numerical investigation on the melting characteristics of wax for the safe and energy - efficiency transportation of crude oil pipelines , Measurement: Sensors , 10 - 12 . (2020), DOI No. 10.1016/j.measen.2020.100022.
- Li, Z. , et al. , Numerical Simulation of Melting Problems Using the Lattice Boltzmann Method with the Interfacial Tracking Method , Numerical Heat Transfer, Part A: Applications , 68 . (2015), 11, pp. 1175 - 1197, DOI No. 10.1080/10407782.2015.1037126.
- Zhang, T. , et al. , Numerical study of convection in phase change material based on Lattice - Boltzmann method , IOP Conference Series: Materials Science and Engineering , 207 . (2017), DOI No. 10.1088/1757 - 899x/207/1/012072.
- Feng, Y. , et al. , Numerical investigation on the melting of nanoparticle - enhanced phase change materials (NE PCM) in a bottom - heated rectangular cavity using lattice Boltzmann method , International Journal of Heat and Mass Transfer , 81 . (2015), pp. 415 - 425, DOI No. 10.1016/j.ijheatmasstransfer.2014.10.048.
- Lin, Q. , et al. , Lattice Boltzmann simulation of flo w and heat transfer evolution inside encapsulated phase change materials due to natural convection melting , Chemical Engineering Science , 189 . (2018), pp. 154 - 164, DOI No. 10.1016/j.ces.2018.05.052.
- Lu, C. - L. , et al. , Lattice Boltzmann analysis for electro-thermo-convection with a melting boundary in horizontal concentric annuli , Physics of Fluids , 33 . (2021), 4, DOI No. 10.1063/5.0046975.
- Rao, Z. , et al. , The Lattice Boltzmann Investigation for the Melting Process of Phase Change Material in an Inclined Cavity , Journal of Heat Transfer , 140 . (2018), 1, DOI No. 10.1115/1.4037908.
- Ahmed, M.,M. Eslamian, Numerical Simulation of Natural Convection of a Nanofluid in an Inclined Heated Enclosure Using Two - Phase Lattice Boltzmann Method: Accurate Effects of Thermophoresis and Brownian Forces , Nanoscale Res Lett , 10 . (2015), 1, p. 1006, DOI No. 10.1186/s11671 - 015 - 1006 - 0.
- Yip, Y.H. , et al. , Flow - dynamics induced thermal management of crude oil wax melting: Lattice Boltzmann modeling , International Journal of Thermal Sciences , 137 . (2019), pp. 675 - 691, DOI No. 10.1016/j.ijthermalsci.2018.09.033.
- Yao, S.G. , et al. , The Study of Natural Convection Heat Transfer in a Partially Porous Cavity Based on LBM , The Open Fuels & Energy Science Journal , 7 . (2014), 1, pp. 88 - 93 , DOI No. 10.2174/1876973X01407010088.
- Zhao, Q. , et al. , Lattice Boltzmann method for nanofluid forced convection heat exchange in a porous channel with multiple heated sources , Numerical Heat Transfer, Part A: Applications , 79 . (2020), 1, pp. 21 - 39, DOI No. 10.1080/10407782.2020.1814590.
- Gangawane, K.M. , et al. , Mixed convection in a lid - driven cavity containing triangular block with constant heat flux: Effect of location of block , International Journal of Mechanical Sciences , 152 . (2019), pp. 492 - 511, DOI No. 10.1016/j.ijmecsci.2019.01.020.
- Hasnaoui, S. , et al. , Hybrid lattice Boltzmann finite difference simulation of Soret convection flows in a square cavity with internal heat generation , Numerical Heat Transfer, Part A: Applications , 74 . (2018), 1, pp. 948 - 973, DOI No. 10.1080/10407782.2018.1487690.
- Ibrahim, M. , et al. , Optimization and effect of wall conduction on natural convection in a cavity with constant temperature heat source: Using lattice Boltzmann method and neural network algorithm , Journal of Thermal Analysis and Calorimetry , 144 . (2021), 6, pp. 2449 - 2463, DOI No. 10.1007/s10973 - 021 - 10654 - 0.
- Ibrahim, M. , et al. , The effects of L - shaped heat source in a quarter - tube enclosure filled with MHD nanofluid on heat transfer and irreversibilities, using LBM: numerical data, optimization using neural network algorithm (ANN) , Journal of Thermal Analysis and Calorimetry , 144 . (2021), 6, pp. 2435 - 2448, DOI No. 10.1007/s10973 - 021 - 10594 - 9.
- Mo hebbi, R. , et al. , Natural convection heat transfer of nanofluid inside a cavity containing rough elements using lattice Boltzmann method , International Journal of Numerical Methods for Heat & Fluid Flow , 29 . (2019), 10, pp. 3659 - 3684, DOI No. 10.1108/hff - 06 - 2018 - 0332.
- Sajjadi, H.,R. Kefayati, Lattice Boltzmann simulation of turbulent natural convection in tall enclosures , Thermal Science , 19 . (2015), 1, pp. 155 - 166, DOI No. 10.2298/tsci120105066s.
- Wen - Shu Jiaung, J. - R.H.C., Lattice Boltzmann Method for the Heat Conduction Problem with Phase Change , Numerical Heat Transfer, Part B: Fundamentals , 39 . (2001), 2, pp. 167 - 187, DOI No. 10.1080/10407790150503495.
- Guo, Z. , et al. , A coupled lattice BGK model for the Boussinesq equations , International Journal for Numerical Methods in Fluids , 39 . (2002), 4, pp. 325 - 342 , DOI No. 10.1002/fld.337 .
- Shi, B.,Z. Guo, Lattice Boltzmann model for nonlinear convection - diffusion equations , Physical Review E , 79 . (2009), 1, p. 016701 , DOI No. 10.1103/physreve .79.016701.
- Wang, M.,N. Pan, Modeling and prediction of the effective thermal conductivity of random open - cell porous foams , International Journal of Heat & Mass Transfer , 51 . (2008), 5 - 6, pp. 1325 - 1331 , DOI No. 10.1016/j.ijheatmasstransfer.2007.11.031.