Movement and Heat Transfer of Particles in Inhomogeneous and Nonisothermal Rapidly Oscillating Fluid Flow ()
Abstract
Based on the Krylov-Bogolyubov method of averaging the closed system of
equations for particle motion and temperature in inhomogeneous rapidly oscillating
velocity and temperature of fluid phase is derived. It is shown that the
particle movement in a rapidly oscillating fluid velocity field occurs not only
under the force of gravity and resistance, but also under force of migration. The
migration force is the result of particle inertia and in homogeneity of
oscillation of velocity field of the carrier phase. Effects of dynamic and
thermal relaxation times of particle and gravity force have been studied. It is
shown possibilities of accumulation of particles under the combined action of
gravity and migration forces. For a linear dependence of the amplitude of
velocity and temperature fluctuations of the fluid an analytical solution was presented.
The analytical solutions have been found in good agreement with the results of
numerical solution of system of equations of motion and heat transfer of
particle.
Share and Cite:
Derevich, I. and Soldatenko, O. (2014) Movement and Heat Transfer of Particles in Inhomogeneous and Nonisothermal Rapidly Oscillating Fluid Flow.
Journal of Applied Mathematics and Physics,
2, 708-717. doi:
10.4236/jamp.2014.27078.
Conflicts of Interest
The authors declare no conflicts of interest.
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