Consider a steady, two-dimensional, incompressible flow field called a uniform stream. The fluid speed is V everywhere,

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Consider a steady, two-dimensional, incompressible flow field called a uniform stream. The fluid speed is V everywhere, and the flow is aligned with the x-axis (Fig. P9–43). The Cartesian velocity components are u = V and v = 0. Generate an expression for the stream function for this flow. Suppose V = 6.94 m/s. If ψ2 is a horizontal line at y = 0.5 m and the value of ψ along the x-axis is zero, calculate the volume flow rate per unit width (into the page of Fig. P9–43) between these two streamlines.


FIGURE P9–43

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