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    <subfield code="a">In this report, Navier Stokes Equation (NSE) method is use to simulate lid-driven flow in a two dimensional isosceles trapezoidal cavity. For the first part in this report, the simulation of the NSE are compared with the existing research (Lattice Boltmann Method of lid-driven flow in trapezoidal cavities) and for the second part is to studied about the number of the vortexes based of Reynolds numbers. For these numerical simulations, the effect of Reynolds numbers, various lid movement and number of vortices in the isosceles trapezoidal cavities are studied. Re is varied from 100 to 7500. Numerical result show that, as the Re increases, the phenomena in the cavity becomes more and more complex, and the number of the vortexes increases. Furthermore, as Re is increased, the flow in the cavity undergoes a complex transition (from steady to the periodic flow and finally to the chaotic flow). For the various lid movements, the maximum number of the vortexes is six when upper and the bottom lid move in the same direction</subfield>
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