Question: Consider a two - dimensional square enclosure of side L . The enclosure is filled with an incompressible fluid of viscosity mu and density

Consider a two-dimensional square enclosure of side L. The enclosure is filled with an incompressible fluid of viscosity \mu and density\rho . The top side of the enclosure is covered with an infinite horizontal wall moving with a constant velocity U. The other sides are fixed in place. Due to the motion of the top wall a flow field is established within the enclosure. Using appropriate dimensionless variables, write the simplified momentum equation for the flow field in dimensionless form showing that the Reynolds number (Re=\rho UL/\mu ) is the only dimensionless group affecting the flow.

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