The particle dynamics can be obtained by solving the particle equation coupled to the Navier-Stokes equations for the fluid with no-slip boundary condition on the particle’s surface. However, solving this set of equations is difficult due to the moving boundary condition. The difficulty results from the interaction between the particle and the turbulent flow. This problem has been indeed solved, to a nice extent, by Maxey and Riley (1983) for small particles, small compared to the smallest turbulent length scale of the flow. If we assume that our particle is a fluid molecule, are we able to describe accurately its dynamics based on the MR83 equation? Do we get the same result as we integrate directly the Lagrangian velocity equation? Thank you!

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