A new mesoscopic scale timestep adjustable non-dimensional lattice Boltzmann method for melting and solidification heat transfer

Yan Su; Jane H. Davidson

doi:10.1016/j.ijheatmasstransfer.2015.09.076

A new mesoscopic scale timestep adjustable non-dimensional lattice Boltzmann method for melting and solidification heat transfer

Yan Su, Jane H. Davidson

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

A mesoscopic scale timestep adjustable non-dimensional lattice Boltzmann method (NDLBM) for fluid flow and heat transfer with solid-liquid phase change is developed using a scaling analysis based on the mesoscopic length and velocity scales. The interface between fluid and solid is treated as a mixture domain with transient porosity distributions and thickness. Timesteps are adjusted by using a transient mesoscopic Mach number independent of mesh size to speed up the computation. The code is validated by comparison of transient Nusselt numbers, isotherms, streamlines, and porosity with prior studies of natural convection in a square enclosure with and without phase change material. A benchmark problem is proposed to obtain the same equilibrium state for both melting and solidification procedures. Full maps of the flow and heat transfer patterns for both melting and solidification are presented based on the key dimensionless governing parameters. The effects of Mach, Stefan (0.01-10), Rayleigh (¹⁰³-¹⁰⁸), and Prandtl (0.1-10) numbers are discussed.

Original language	English (US)
Pages (from-to)	1106-1119
Number of pages	14
Journal	International Journal of Heat and Mass Transfer
Volume	92
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2015.09.076
State	Published - Jan 1 2016

Bibliographical note

Funding Information:
We thank Prof. Frank Kulacki, University of Minnesota for suggesting this problem to us. Yan Su’s study was supported by Solar Energy Lab of University of Macau with projects FDCT/060/2014/A2, FDCT/103/2014/SB, and MYRG2014–00014-FST. Also thanks the University of Minnesota Supercomputing Institute and High Performance Computing Cluster of Information and Communication Technology Office of the University of Macau.

Keywords

Melting
Non-dimensional lattice Boltzmann method
Phase change
Solidification

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title = "A new mesoscopic scale timestep adjustable non-dimensional lattice Boltzmann method for melting and solidification heat transfer",

abstract = "A mesoscopic scale timestep adjustable non-dimensional lattice Boltzmann method (NDLBM) for fluid flow and heat transfer with solid-liquid phase change is developed using a scaling analysis based on the mesoscopic length and velocity scales. The interface between fluid and solid is treated as a mixture domain with transient porosity distributions and thickness. Timesteps are adjusted by using a transient mesoscopic Mach number independent of mesh size to speed up the computation. The code is validated by comparison of transient Nusselt numbers, isotherms, streamlines, and porosity with prior studies of natural convection in a square enclosure with and without phase change material. A benchmark problem is proposed to obtain the same equilibrium state for both melting and solidification procedures. Full maps of the flow and heat transfer patterns for both melting and solidification are presented based on the key dimensionless governing parameters. The effects of Mach, Stefan (0.01-10), Rayleigh (103-108), and Prandtl (0.1-10) numbers are discussed.",

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N2 - A mesoscopic scale timestep adjustable non-dimensional lattice Boltzmann method (NDLBM) for fluid flow and heat transfer with solid-liquid phase change is developed using a scaling analysis based on the mesoscopic length and velocity scales. The interface between fluid and solid is treated as a mixture domain with transient porosity distributions and thickness. Timesteps are adjusted by using a transient mesoscopic Mach number independent of mesh size to speed up the computation. The code is validated by comparison of transient Nusselt numbers, isotherms, streamlines, and porosity with prior studies of natural convection in a square enclosure with and without phase change material. A benchmark problem is proposed to obtain the same equilibrium state for both melting and solidification procedures. Full maps of the flow and heat transfer patterns for both melting and solidification are presented based on the key dimensionless governing parameters. The effects of Mach, Stefan (0.01-10), Rayleigh (103-108), and Prandtl (0.1-10) numbers are discussed.

AB - A mesoscopic scale timestep adjustable non-dimensional lattice Boltzmann method (NDLBM) for fluid flow and heat transfer with solid-liquid phase change is developed using a scaling analysis based on the mesoscopic length and velocity scales. The interface between fluid and solid is treated as a mixture domain with transient porosity distributions and thickness. Timesteps are adjusted by using a transient mesoscopic Mach number independent of mesh size to speed up the computation. The code is validated by comparison of transient Nusselt numbers, isotherms, streamlines, and porosity with prior studies of natural convection in a square enclosure with and without phase change material. A benchmark problem is proposed to obtain the same equilibrium state for both melting and solidification procedures. Full maps of the flow and heat transfer patterns for both melting and solidification are presented based on the key dimensionless governing parameters. The effects of Mach, Stefan (0.01-10), Rayleigh (103-108), and Prandtl (0.1-10) numbers are discussed.

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KW - Solidification

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A new mesoscopic scale timestep adjustable non-dimensional lattice Boltzmann method for melting and solidification heat transfer

Abstract

Bibliographical note

Keywords

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