796 research outputs found
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Advances in Hybrid Molecular/Continuum Methods for Micro and Nano Flows
This paper was presented at the 4th Micro and Nano Flows Conference (MNF2014), which was held at University College, London, UK. The conference was organised by Brunel University and supported by the Italian Union of Thermofluiddynamics, IPEM, the Process Intensification Network, the Institution of Mechanical Engineers, the Heat Transfer Society, HEXAG - the Heat Exchange Action Group, and the Energy Institute, ASME Press, LCN London Centre for Nanotechnology, UCL University College London, UCL Engineering, the International NanoScience Community, www.nanopaprika.eu.Next generation
uid
ow systems are likely to depend on micro or nano scale dynamics
that make the system behaviour multiscale in both space and time. There may be strong or weak
separation between the length scales and between the time scales in di erent parts of the
ow, and
these scale-separations may also vary in space and time. In this paper we discuss a practical approach
to improving the e ciency of hybrid particle/continuum models of such multiscale
ows. Our focus is
on adapting the solution method to the local scale-separation conditions, in order to balance compu-
tational e ciency with accuracy. We compare results from our new hybridisation in space and time
with full molecular simulations of benchmark nanoscale
ows
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Gas dynamics at the micro-scale: A review of progress in hydrodynamic modelling
This paper was presented at the 2nd Micro and Nano Flows Conference (MNF2009), which was held at Brunel University, West London, UK. The conference was organised by Brunel University and supported by the Institution of Mechanical Engineers, IPEM, the Italian Union of Thermofluid dynamics, the Process Intensification Network, HEXAG - the Heat Exchange Action Group and the Institute of Mathematics and its Applications.We review some recent developments in the modelling of non-equilibrium (rarefied) gas flows at the micro- and nano-scale using extended hydrodynamic models. Following a brief exposition of the challenges that non-equilibrium poses in micro- and nano-scale gas flows, we outline the field of extended
hydrodynamics, describing the effective abandonment of Burnett-type models in favour of high-order regularised moment equations. We then review the boundary conditions required if the conventional Navier-Stokes-Fourier (NSF) fluid dynamic model is applied at the micro scale, describing how 2nd-order Maxwelltype conditions can be used to compensate for some of the non-equilibrium flow behaviour near solid surfaces. While extended hydrodynamics is not yet widely-used for real flow problems because of its
inherent complexity, we finish with an outline of recent ‘phenomenological extended hydrodynamics’ (PEH) techniques — essentially the NSF equations scaled to incorporate non-equilibrium behaviour close to solid surfaces — which offer promise as engineering models.This work is funded in the UK by the Engineering and Physical Sciences Research Council through grants EP/F002467/1, EP/D07455X/1, EP/D007488/1 and EP/F028865/1
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Coupled continuum hydrodynamics and molecular dynamics method for multiscale simulation
This paper was presented at the 3rd Micro and Nano Flows Conference (MNF2011), which was held at the Makedonia Palace Hotel, Thessaloniki in Greece. The conference was organised by Brunel University and supported by the Italian Union of Thermofluiddynamics, Aristotle University of Thessaloniki, University of Thessaly, IPEM, the Process Intensification Network, the Institution of Mechanical Engineers, the Heat Transfer Society, HEXAG - the Heat Exchange Action Group, and the Energy Institute.We present a new hybrid methodology for carrying out multiscale simulations of
flow problems lying between continuum hydrodynamics and molecular dynamics, where macro/micro lengthscale separation exists only in one direction. Our multiscale method consists of an iterative technique that couples mass and momentum flux between macro and micro domains, and is tested on a converging/diverging nanochannel case containing flow of a simple Lennard-Jones liquid. Comparisons agree well with a full MD simulation of the same test case.EPSRC Programme Grant EP/I011927/
Non-Associativity in the Clifford Bundle on the Parallelizable Torsion 7-Sphere
In this paper we discuss generalized properties of non-associativity in
Clifford bundles on the 7-sphere S7. Novel and prominent properties inherited
from the non-associative structure of the Clifford bundle on S7 are
demonstrated. They naturally lead to general transformations of the spinor
fields on S7 and have dramatic consequences for the associated Kac-Moody
current algebras. All additional properties concerning the non-associative
structure in the Clifford bundle on S7 are considered. We further discuss and
explore their applications.Comment: 16 page
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A New Heterogeneous Multiscale Technique for Microscale Gas Flows
This paper was presented at the 4th Micro and Nano Flows Conference (MNF2014), which was held at University College, London, UK. The conference was organised by Brunel University and supported by the Italian Union of Thermofluiddynamics, IPEM, the Process Intensification Network, the Institution of Mechanical Engineers, the Heat Transfer Society, HEXAG - the Heat Exchange Action Group, and the Energy Institute, ASME Press, LCN London Centre for Nanotechnology, UCL University College London, UCL Engineering, the International NanoScience Community, www.nanopaprika.eu.We present a new hybrid method for dilute gas flows that heterogeneously couples a continuumfluid
description to the direct simulation Monte Carlo (DSMC) method. A continuum-fluid model is applied
across the entire domain, while DSMC is applied in spatially-distributed micro regions. Using a field-wise
coupling approach, DSMC sub-domains of any size can be placed at any location. The sub-domain
arrangement can therefore be adjusted for each problem to capture non-equilibrium behaviour both close to
bounding walls and in the bulk. We demonstrate our method on a test case of high-speed micro Couette flow.
With large differences in wall velocity, significant viscous heating is present, and so our coupling considers
the transfer of both momentum and heat. Our hybrid results are validated against a pure DSMC simulation,
and the results show that the method can deal with missing boundary and constitutive information
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Exploiting timescale separation in micro and nano flows
This paper was presented at the 3rd Micro and Nano Flows Conference (MNF2011), which was held at the Makedonia Palace Hotel, Thessaloniki in Greece. The conference was organised by Brunel University and supported by the Italian Union of Thermofluiddynamics, Aristotle University of Thessaloniki, University of Thessaly, IPEM, the Process Intensification Network, the Institution of Mechanical Engineers, the Heat Transfer Society, HEXAG - the Heat Exchange Action Group, and the Energy Institute.In this paper we describe how timescale separation in micro/nano flows can be exploited for computational acceleration. A modified version of the seamless heterogenous multiscale method (SHMM) is proposed: a multi-step SHMM. This maintains the main advantages of SHMM (e.g., re-initialisation of micro data is not required; temporal gearing (computational speed-up) is easily controlled; and it is applicable to full and intermediate degrees of timescale separation) while improving on accuracy and greatly reducing the number
of macroscopic computations and micro/macro coupling instances required. The improved accuracy of the multi-step SHMM is demonstrated for two canonical one-dimensional transient flows (oscillatory Poiseuille and oscillatory Couette flow) and for rarefied-gas oscillatory Poiseuille flow.This research is financially supported by the EPSRC Programme Grant EP/I011927/1
Liquid slip over gas nanofilms
We propose the rarefied-gas-cushion model (r-GCM), as an extended version of the gas-cushion model (GCM), to estimate the apparent slip of water flowing over a gas layer trapped at a solid surface. Nanobubbles or gas nanofilms may manifest rarefied-gas effects and the r-GCM incorporates kinetic boundary conditions for the gas component in the slip Knudsen regime. These enable an apparent hydrodynamic slip length to be calculated given the gas thickness, the Knudsen number, and the bulk fluid viscosities. We assess the r-GCM through nonequilibrium molecular dynamics (NEMD) simulations of shear-driven liquid flow over an infinite gas nanofilm covering a solid surface, from the gas slip regime to the early transition regime, beyond which NEMD is computationally impractical. We find that, over the flow regimes examined, the r-GCM provides better predictions of the apparent liquid slip and retrieves both the GCM and the free-molecular behavior in the appropriate limits
Revisiting Clifford algebras and spinors III: conformal structures and twistors in the paravector model of spacetime
This paper is the third of a series of three, and it is the continuation of
math-ph/0412074 and math-ph/0412075. After reviewing the conformal spacetime
structure, conformal maps are described in Minkowski spacetime as the twisted
adjoint representation of the group Spin_+(2,4), acting on paravectors.
Twistors are then presented via the paravector model of Clifford algebras and
related to conformal maps in the Clifford algebra over the lorentzian R{4,1}$
spacetime. We construct twistors in Minkowski spacetime as algebraic spinors
associated with the Dirac-Clifford algebra Cl(1,3)(C) using one lower spacetime
dimension than standard Clifford algebra formulations, since for this purpose
the Clifford algebra over R{4,1} is also used to describe conformal maps,
instead of R{2,4}. Although some papers have already described twistors using
the algebra Cl(1,3)(C), isomorphic to Cl(4,1), the present formulation sheds
some new light on the use of the paravector model and generalizations.Comment: 17 page
The thermal SZ tomography
The thermal Sunyaev-Zel'dovich (tSZ) effect directly measures the thermal
pressure of free electrons integrated along the line of sight and thus contains
valuable information on the thermal history of the universe. However, the
redshift information is entangled in the projection along the line of sight.
This projection effect severely degrades the power of the tSZ effect to
reconstruct the thermal history. We investigate the tSZ tomography technique to
recover this otherwise lost redshift information by cross correlating the tSZ
effect with galaxies of known redshifts, or alternatively with matter
distribution reconstructed from weak lensing tomography. We investigate in
detail the 3D distribution of the gas thermal pressure and its relation with
the matter distribution, through our adiabatic hydrodynamic simulation and the
one with additional gastrophysics including radiative cooling, star formation
and supernova feedback. (1) We find a strong correlation between the gas
pressure and matter distribution, with a typical cross correlation coefficient
r ~ 0.7 at k . 3h/Mpc and z < 2. This tight correlation will enable robust
cross correlation measurement between SZ surveys such as Planck, ACT and SPT
and lensing surveys such as DES and LSST, at ~20-100{\sigma} level. (2) We
propose a tomography technique to convert the measured cross correlation into
the contribution from gas in each redshift bin to the tSZ power spectrum.
Uncertainties in gastrophysics may affect the reconstruction at ~ 2% level, due
to the ~ 1% impact of gastrophysics on r, found in our simulations. However, we
find that the same gastrophysics affects the tSZ power spectrum at ~ 40% level,
so it is robust to infer the gastrophysics from the reconstructed redshift
resolved contribution.Comment: 10 pages, 7 figures, 2 appendices, accepted by Ap
Measuring cluster peculiar velocities with the Sunyaev-Zeldovich effects: scaling relations and systematics
The fluctuations in the Cosmic Microwave Background (CMB) intensity due to
the Sunyaev-Zeldovich (SZ) effect are the sum of a thermal and a kinetic
contribution. Separating the two components to measure the peculiar velocity of
galaxy clusters requires radio and microwave observations at three or more
frequencies, and knowledge of the temperature T_e of the intracluster medium
weighted by the electron number density. To quantify the systematics of this
procedure, we extract a sample of 117 massive clusters at redshift z=0 from an
N-body hydrodynamical simulation, with 2x480^3 particles, of a cosmological
volume 192 Mpc/h on a side of a flat Cold Dark Matter model with Omega_0=0.3
and Lambda=0.7. Our simulation includes radiative cooling, star formation and
the effect of feedback and galactic winds from supernovae. We find that (1) our
simulated clusters reproduce the observed scaling relations between X-ray and
SZ properties; (2) bulk flows internal to the intracluster medium affect the
velocity estimate by less than 200 km/s in 93 per cent of the cases; (3) using
the X-ray emission weighted temperature, as an estimate of T_e, can
overestimate the peculiar velocity by 20-50 per cent, if the microwave
observations do not spatially resolve the cluster. For spatially resolved
clusters, the assumptions on the spatial distribution of the ICM, required to
separate the two SZ components, still produce a velocity overestimate of 10-20
per cent, even with an unbiased measure of T_e. Thanks to the large size of our
cluster samples, these results set a robust lower limit of 200 km/s to the
systematic errors that will affect upcoming measures of cluster peculiar
velocities with the SZ effect.Comment: 14 pages, 12 figures, MNRAS, in press. Figures 3 and 4 now contain
more recent observational data. Other minor revisions according to referee's
comment
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