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An immersed boundary-lattice Boltzmann method for thermal and thermo-solutal problems of Newtonian and non-Newtonian fluids

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Kefayati, G ORCID: 0000-0001-9757-8260 2020 , 'An immersed boundary-lattice Boltzmann method for thermal and thermo-solutal problems of Newtonian and non-Newtonian fluids' , Physics of Fluids, vol. 32, no. 7 , pp. 1-14 , doi: 10.1063/5.0013977.

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Abstract

An immersed boundary-lattice Boltzmann method is introduced that can be employed for different thermal and thermo-solutal problems of Newtonian and non-Newtonian fluids. The general macroscopic and mesoscopic equations are presented and discussed. It is shown and proved that the macroscopic equations are satisfied by the proposed lattice Boltzmann equations. This approach removes the limitation of the conventional lattice Boltzmann method in constitutive equations and boundary conditions. To validate the accuracy of the method, it is compared against several cases of complex geometries with curved boundaries for natural convection in enclosures. To demonstrate the ability of this method for the simulation of thermo-solutal flows of non-Newtonian fluids with curved boundaries, double diffusive natural convection of Carreau fluid between a square cylinder and two circular cylinders is investigated and results are reported. Next, double diffusive mixed convection of a Bingham fluid in a cavity with a curved boundary condition is studied.

Item Type: Article
Authors/Creators:Kefayati, G
Keywords: CFD, LBM, IBM, heat and mass transfer
Journal or Publication Title: Physics of Fluids
Publisher: Amer Inst Physics
ISSN: 1070-6631
DOI / ID Number: 10.1063/5.0013977
Copyright Information:

Copyright 2020 AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing.

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