Three-dimensional Simulation Of Slip-flow And
Heat Transfer In A Microchannel Using The
Lattice Boltzmann Method
Author(s)
A. C. M. Sousa, M. Hadavand & A. Nabovati
Abstract
In micro- and nano-flows, since the molecular mean free path is comparable to
the system’s characteristic length, the effect of rarefaction should be considered.
In this category of flows, the continuum assumption is no longer valid; therefore,
heat transfer, velocity profile and pressure drop markedly and depart from those
which are common to macro-flows. Rarefaction may occur in various
applications, such as in zero gravity flights and vacuum devices. This
phenomenon can occur at the wall surfaces when the Mach number is
sufficiently small, which is the case of interest in this study. In these conditions,
at the solid-fluid interfaces, the fluid has a slip velocity and a temperature jump
is also present. Three-dimensional, thermally developing incompressible laminar
flows in a square microchannel with constant temperature walls are studied
numerically using the lattice Boltzmann method. The effect of rarefaction on the
velocity and temperature distributions and on the Nusselt number is analysed.
The LBM predictions are compared with those obtained using the Navier-Stokes
equations with the slip condition for the same configuration. The results indicate
that an increase of the slip velocity yields an increasing Nusselt number, whereas
an increase of the temperature jump has the opposite effect on the Nusselt
number values; therefore, the combined result of these two competing effects
may yield an increase or decrease on the Nusselt number.
Keywords: slip-flow, rarefaction, heat transfer, Knudsen number, lattice
Boltzmann method, microchannel.
Keywords
slip-flow, rarefaction, heat transfer, Knudsen number, lattice
Boltzmann method, microchannel
Related Book
Other papers in this volume
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