In this paper, a second order Adams-Bashforth method is proposed to simulate foursided square lid-driven cavity flow. The convective term and diffusive term in Navier-Stokes equations are solved using a finite central difference scheme and the unsteady term is solved using the Adams-Bashforth method. All of the flow is simulated at below critical Reynolds numbers in a square cavity with an isothermal condition and the same speed for all walls. In this study, the flow structure for a four-sided lid-driven cavity with its four vortices and a graph of the velocity profile along the center of the cavity are presented. In addition, we also study the effect of the Reynolds number on the development of vortices in the cavity. We find that the Reynolds number has a dominant effect on the flow structure in the cavity. The computed results also show good agreement with the published data.

Research in contaminated fluid flow becomes an interest in fluid dynamic research recently. In pipeline involving mix solution, residues can accumulate and deposit usually trapped inside the pipeline. This problem was studied by model it as a cavity channel flow with small particles inside the cavity enhanced by mixed convection. Constrained interpolated profile (CIP) was used to solve advection part of momentum equation while non-advection was solved by using finite difference for fluid part. Passive particles were located inside a square cavity in a channel represent contaminant in the cavity. Bottom wall of the cavity was heated to create mixed convection effect in the removal process and represent by various Grashof number. Validation study was done with experimental study at isothermal condition and show good comparison to present study. Higher removal process was observed at higher Grashof number. In the beginning of removal process, the contaminants were removed faster but after some period, the removal rate began to slow down and steady stated was achieved. At steady state, there will be no more removal of particle and it will remain circulate in the cavity.

Numerical simulation on removal of contaminated cavity in channel was done for various Richardson number and at three different heated wall inside square cavity. Constrained interpolated profile method (CIP) was used to solve advection part of Navier-Stokes equation while non-advection part was solved by using finite central difference. The contaminant has same properties as the fluid and very small so that the particle can be treated without affected the fluid flow. Simulations shows that heated right wall produced the highest removal process and heated left wall will removed the fewest of contaminant from cavity.

In this paper, Constrained Interpolated Profile Method (CIP) was used to simulate contaminants removal from square cavity in channel flow. Predictions were conducted for the range of aspect ratios from 0.25 to 4.0. The inlet parabolic flow with various Reynolds number from 50 to 1000 was used for the whole presentation with the same properties of contaminants and fluid. The obtained results indicated that the percentage of removal increased at high aspect ratio of cavity and higher Reynolds number of flow but it shows more significant changes as increasing aspect ratio rather than increasing Reynolds number. High removal rate was found at the beginning of the removal process.