Proceedings of ASME Biennial Conference on Engineering Systems Design and Analysis
ESDA 2010- 25149
July 12-14, 2010, Istanbul, Turkey
A SEARCH ALGORITHM FOR PARTICLE LADEN FLOWS: APPLICATION TO
NANOFLUIDS
Hossein Afshar
Islamic Azad University, East Tehran Branch
Corresponding Author
Ho_afshar@yahoo.com
Mehrzad Shams
K.N.Toosi University of Tech., Tehran, Iran
Shams@kntu.ac.ir
Seyed Mojtaba Mousavi Nainian
K.N.Toosi University of Tech., Tehran, Iran
Aerospace@kntu.ac.ir
Goodarz Ahmadi
Clarkson University, USA
Ahmadi@clarkson.edu
Abstract:
Evaluating the particle location in particle-laden flows is the most important parameter for
calculating the two-phase flow parameters and also controls the computational time. In heat
conducting nanofluids the volume fraction of particles is typically less than 3%. Nevertheless
the their effect on heat transfer is important. In this paper, a new method for coupling thermal
effects of dispersed and continuum phases is introduces. The L-N-R search algorithm, which
can be used in complex geometries and unstructured grid is used for specifying particle
location. For low volume fractions, particles-fluid interaction is considered only for the
energy exchange. This exchange is done using a binary search tree. It is shown general usage
of nanofluids in microchannels should be done by special considerations.
Keywords: Nanofluid, Search Algorithm, LNR Method, Two Phase Flows
Introduction
Particle–fluid two-phase flows are very
common in both natural and industrial
processes, which are characterized by
nonlinear and non-equilibrium phenomena
and involves multiscale processes.
Traditional two-fluid model (TFM) where
both phases are treated as continua is the
prevailing approach for simulating many
practical engineering applications [1, 2, 3].
However, the needed constitutive laws for
the solid phase and its interactions with the
fluid phase still lack matured theoretical
treatment. Therefore, empiricism has to be
introduced in one way or another, which
results in gross uncertainty and limits the
generality of the model. Xu et al. [4]
focused on multi scale modeling and
studied the effect of meso-scale structures
on the hydrodynamic behaviors of
particle–fluid systems. They considered in
an Eulerian–Lagrangian model utilizing
the detailed particle distribution
information. The fluid flow was distributed
within each computational cell from
pressure balance considerations according
to weighted local porosities, rather than by
using traditional linear interpolations. The
drag on each particle was then calculated
with aid of the local porosity and slip
velocity. They claimed the approach
showed significant differences to
traditional method.
Shams et al. [5] studied the deposition of
aerosol particles from 10 nm to 50 µm in
turbulent duct flows and extended the
sublayer model for the turbulent deposition
process to cover the effects of gravity,
1 Copyright © 2010 by ASME
Proceedings of the ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis
ESDA2010
July 12-14, 2010, Istanbul, Turkey
ESDA2010-25149