Velocity relaxation of a particle in a confined compressible fluid.

@article{Tatsumi2013VelocityRO,
  title={Velocity relaxation of a particle in a confined compressible fluid.},
  author={Rei Tatsumi and Ryoichi Yamamoto},
  journal={The Journal of chemical physics},
  year={2013},
  volume={138 18},
  pages={
          184905
        }
}
The velocity relaxation of an impulsively forced spherical particle in a fluid confined by two parallel plane walls is studied using a direct numerical simulation approach. During the relaxation process, the momentum of the particle is transmitted in the ambient fluid by viscous diffusion and sound wave propagation, and the fluid flow accompanied by each mechanism has a different character and affects the particle motion differently. Because of the bounding walls, viscous diffusion is hampered… 

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References

SHOWING 1-10 OF 43 REFERENCES
Diffusion and velocity relaxation of a Brownian particle immersed in a viscous compressible fluid confined between two parallel plane walls.
TLDR
The diffusion tensor and velocity correlation function of a Brownian particle immersed in a viscous compressible fluid confined between two parallel plane walls are calculated in point approximation and the coefficient of the long-time tail is calculated and shown to be independent of fluid viscosity.
Effect of the wall on the velocity autocorrelation function and long-time tail of Brownian motion.
TLDR
The fluctuation-dissipation theorem shows that the velocity autocorrelation function of the Brownian particle can be calculated from the frequency-dependent admittance valid locally.
Effect of fluid compressibility on the flow caused by a sudden impulse applied to a sphere immersed in a viscous fluid
The flow of a viscous compressible fluid about a sphere suddenly set in motion by an applied impulse is studied on the basis of linearized hydrodynamic equations. Mixed slip-stick boundary conditions
Hydrodynamic description of the long-time tails of the linear and rotational velocity autocorrelation functions of a particle in a confined geometry.
  • D. Frydel, S. Rice
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2007
TLDR
A hydrodynamic analysis of the long-time behavior of the linear and angular velocity autocorrelation functions of an isolated colloid particle constrained to have quasi-two-dimensional motion and uses the singularity method to characterize unsteady linear motion of an incompressible fluid.
Propagation of hydrodynamic interactions between particles in a compressible fluid
Hydrodynamic interactions are transmitted by viscous diffusion and sound propagation: the temporal evolution of hydrodynamic interactions by both mechanisms is studied by direct numerical simulation
Backtracking of a sphere slowing down in a viscous compressible fluid.
It is shown on the basis of the linearized Navier-Stokes equations that a sphere set in motion by a sudden impulse, and slowing down in a viscous compressible fluid, can temporarily reverse its
Lattice–Boltzmann study of the transition from quasi-two-dimensional to three-dimensional one particle hydrodynamics
We report the results of a study designed to categorize the hydrodynamics of a quasi-two-dimensional system as either a 2D or 3D fluid. The characterization is based on the asymptotic decay of the
Transient flow of a viscous compressible fluid in a circular tube after a sudden point impulse
The flow of a viscous compressible fluid in a circular tube generated by a sudden impulse at a point on the axis is studied on the basis of the linearized Navier–Stokes equations. A no-slip boundary
Direct numerical simulation of dispersed particles in a compressible fluid.
TLDR
A direct numerical simulation method is presented for investigating the dynamics of dispersed particles in a compressible solvent fluid and its validity is examined by calculating the velocity relaxation of an impulsively forced spherical particle with a known analytical solution.
Algebraic Decay of Velocity Fluctuations in a Confined Fluid
Computer simulations of a colloidal particle suspended in a fluid confined by rigid walls show that, at long times, the velocity correlation function decays with a negative algebraic tail. The
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