A Non-Dimensional Lattice Boltzmann Method for direct and porous medium model simulations of 240-tube bundle heat exchangers in a solar storage tank

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Abstract

An improved Non-Dimensional Lattice Boltzmann Method (NDLBM) is developed and a uniform computational code is compiled to fit into both direct and porous medium model simulations. Comparison studies based on natural convection of 240 cylindrical tube bundle heat exchangers immersed in a thin rectangular solar storage tank show the computational efficiency and accuracy of both direct simulations and porous medium model simulations achieved by using NDLBM. The governing parameters in the macroscopic, microscopic, and mesoscopic length scales corresponding to the enclosure width, tube diameter, and mesh size are obtained. Transient isotherms, streamlines, Nusselt numbers, and CPU time of nine models have been simulated for various pitch, porosity, and distributions of tubes. Given the same grid number and simulation time, the CPU time of the porous medium model simulations by using NDLBM is about 1/60 of that of porous medium simulations by using finite difference based on projection method, and 1/20 of that of the direct simulations with the uniform code based on NDLBM. The porous medium simulations can only obtain Darcy velocity and volume averaged temperature, while the direct simulations can obtain both macroscopic and microscopic velocity and temperature.

Original languageEnglish (US)
Pages (from-to)195-205
Number of pages11
JournalInternational Journal of Heat and Mass Transfer
Volume85
DOIs
StatePublished - Jun 2015

Bibliographical note

Funding Information:
Yan Su’s study was supported by the Solar Energy Laboratory of University of Macau under projects FDCT/060/2014/A2, FDCT/115/2012/A, and MYRG084(Y1-L2)-FST12-SY. Also thanks the University of Minnesota Supercomputing Institute and ICTO of University of Macau to provide the services of High Performance Computing Center.

Publisher Copyright:
© 2015 Elsevier Ltd. All rights reserved.

Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.

Keywords

  • Heat exchanger
  • NDLBM
  • Nusselt number
  • Solar storage

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