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

## Question:

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 ψ_{2} 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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**Related Book For**

## Fluid Mechanics Fundamentals And Applications

**ISBN:** 9780073380322

3rd Edition

**Authors:** Yunus Cengel, John Cimbala