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Immersed Boundary – Thermal Lattice Boltzmann Methods for Non-Newtonian Flows Over a Heated Cylinder: A Comparative Study

Published online by Cambridge University Press:  30 July 2015

A. Amiri Delouei,
M. Nazari,
M. H. Kayhani and
S. Succi
A. Amiri Delouei
Affiliation:
Department of Mechanical Engineering, University of Shahrood, Shahrood, Iran
M. Nazari*
Affiliation:
Department of Mechanical Engineering, University of Shahrood, Shahrood, Iran
M. H. Kayhani
Affiliation:
Department of Mechanical Engineering, University of Shahrood, Shahrood, Iran
S. Succi
Affiliation:
IAC-CNR, Rome, Via dei Taurini 19, 00185, Roma & Department of Physics, Harvard University, Oxford Street 60, Cambridge, MA 02138, USA
*
*Corresponding author. Email addresses: a.a.delouei@gmail.com (A. A. Delouei), mnazari@shahroodut.ac.ir (M. Nazari), h_kayhani@shahroodut.ac.ir (M. H. Kayhani), s.succi@iac.cnr.it (S. Succi)

Abstract

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In this study, we compare different diffuse and sharp interface schemes of direct-forcing immersed boundary — thermal lattice Boltzmann method (IB-TLBM) for non-Newtonian flow over a heated circular cylinder. Both effects of the discrete lattice and the body force on the momentum and energy equations are considered, by applying the split-forcing Lattice Boltzmann equations. A new technique based on predetermined parameters of direct forcing IB-TLBM is presented for computing the Nusselt number. The study covers both steady and unsteady regimes (20<Re<80) in the power-law index range of 0.6<n <1.4, encompassing both shear-thinning and shear-thickening non-Newtonian fluids. The numerical scheme, hydrodynamic approach and thermal parameters of different interface schemes are compared in both steady and unsteady cases. It is found that the sharp interface scheme is a suitable and possibly competitive method for thermal-IBM in terms of accuracy and computational cost.

Keywords

65Y2076A0576D2576P0576R05Immersed Boundary MethodThermal Lattice Boltzmann Methodnon-Newtonian fluidcylinderpower-law fluids

Information

Type
Research Article
Information
Communications in Computational Physics , Volume 18 , Issue 2 , August 2015, pp. 489 - 515
Copyright
Copyright © Global-Science Press 2015 

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