Prediction of Particle Dynamics in Lid-Driven Cavity Flow

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The prediction of the flow of solid particle through fluid has been an important research topic in the past decades. The difficulties arise to understand the interaction between the particle and surrounding fluid. Therefore, in the present study, the Cubic Interpolated Pseudo-Particle Navier Stokes equation (CIPNSE) was applied to investigate the two-dimensional square lid driven cavity flow of water at wide range of Reynolds numbers. The CIPNSE scheme was used to solve hyperbolic term of the vorticity transport equation. In the CIPNSE scheme, the gradient and the value of the vorticity at the nodes are determined and the stream function is then determined using the vorticity equation. It is discovered that the numerical simulation of CIPNSE provided a very good agreement with the established benchmark results by previous researchers. Then, in order to predict the velocity and position of the particle in the fluid flow, we applied the 4th order Runge-Kutta method to solve the effect from the drag and gravitational forces on the particle
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Solid Particle; Navier-Stokes; Cubic Interpolated Pseudo Particle (CIP); Lid-Driven Cavity; Particle Collisions; Numerical Methods

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S. J. Tsorng, H. Capart, J. S. Lai, and D. L. Young, Three- dimensional tracking of the long time trajectories of suspended particles in a lid driven cavity flow.,Experiments in Fluids, Vol . 40 (Issue 2):314-328, 2006..

R. J. Adrian, Particle-imaging techniques for experimental fluid mechanics, Ann. Rev. Fluid Mech, Vol. 23 (Issue 1): 261-304, 1991.

J. P. Matas, J. F. Morris and E. Guazzelli, Inertial migration of rigid spherical particles in Poiseuille flow, J. Fluid Mech, Vol. 515 (Issue 1): 171-195, 2004.

S. Ushijima and N. Tanaka, Three-dimensional particle tracking velocimetry with laser-light sheet scannings, J. Fluid Eng, Vol. 118 (Issue 2): 352-357,1996.

K. Ide and M. Ghil, Extended Kalman filtering for vortex systems. Part 1,Methodology and point votices,Dyn. Atmospheres and Oceans, Vol. 27 (Issue 1-4):301-332, 1997.

P. Kosinki, A. Kosinska and A. C. Hoffmann, Simulation of solid particles behavior in a driven cavity flow, Pow. Tech, Vol. 191 (Issue 3): 329-339, 2009.

Mussa, M.A., Abdullah, S., Nor Azwadi, C.S., Zulkifli, R., Lattice boltzmann simulation of cavity flows at various reynolds numbers, (2011) International Review on Modelling and Simulations (IREMOS), 4 (4), pp. 1909-1919.

Munir, F.A., Azmi, M.I.M., Zin, M.R.M., Salim, M.A., Sidik, N.A.C., Application of lattice boltzmann method for lid driven cavity flow, (2011) International Review of Mechanical Engineering (IREME), 5 (5), pp. 856-861.

T. Utsumi, T. Kunugi, T. Aoki,Stability and accuracy of the Cubic Interpolated Propagation scheme, Comput. Phys Comm. Vol, 101 (Issue 1-2): 9-20, 1997.

M.A. Mussa, S. Abdullah, C.S. Nor Azwadi, N. Muhamad, Simulation of natural convection heat transfer in an enclosure by the lattice-Boltzmann method, Comput & Fluids, Vol 44 (Issue 1): 162-168, 2011.

T. Yabe, T. Ishikawa, P.Y. Wang, T. Aoki, Y. Kadota, F. Ikeda, A universal solver for hyperbolic equations by cubic-polynomial interpolation II. Two- and three-dimensional solvers, Comput. Phys. Comm, Vol. 66 (Issue 2-3): 233-242, 1991.

U. Ghia, K. N. Ghia and C. Y. Shin, High-Re Solutions for Incompressible Flow using the Navier-Stokes Equations and a Multigrid Method, J. Comp. Phys, Vol 48 (Issue 1):387-411, 1982.

Zin, M.R.M., Sidik, N.A.C., An accurate numerical method to predict fluid flow in a shear driven cavity, (2010) International Review of Mechanical Engineering (IREME), 4 (6), pp. 719-725.


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