Lattice Boltzmann method for slip flow heat transfer in circular microtubes: Extended Graetz problem
type: Item
instance of: scholarly article
title: Lattice Boltzmann method for slip flow heat transfer in circular microtubes: Extended Graetz problem
zbMATH Open document ID: 1210.80006
author: Sumit K. Garg
published in: Applied Mathematics and Computation
publication date: 2010-12-20T00:00:00Z
review text: This paper develops the simple and efficient lattice Boltzmann model as well as a corresponding boundary scheme for simulating slip flow heat transfer in circular microtubes. Also, the recently developed Langmuir slip model as an alternative approach of the Maxwell slip model, which possesses a clear physical picture and keeps the Reynolds analogy, is extended to capture the velocity slip as well as the temperature jump in microtubes. The feasibility and capability of the models are validated by the Graetz problem, extended to the slip regime. This Graetz problem is a benchmark prototype for forced convection heat transfer in circular microtubes. The presented method is only limited to lower Knudsen number or the slip regime as the Knudsen layer cannot be captured. This drawback is planned to be overcome.
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 76R05
Mathematics Subject Classification ID: 76M28
zbMATH DE Number: 5828107
zbMATH Keywords: extended Graetz problem
zbMATH Keywords: lattice Boltzmann method
zbMATH Keywords: slip flow heat transfer
zbMATH Keywords: circular microtube
MaRDI profile type: Publication
full work available at URL: j.amc.2010.08.063
OpenAlex ID: W2032751556
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DOI: 10.1016/J.AMC.2010.08.063
description: scientific article; zbMATH DE number 5828107