A sink of strength 20 m2/s is situated 3 m upstream of a source of 40 m²/s in a uniform stream. It is found that, at a point 2.5 m from both source and sink, the local velocity is normal to the line joining the source and sink. Find the velocity at this point and the velocity of the uniform stream.

Find the location of the stagnation point for the flow due to a vortex +I at (2a, 0) and a vortex -25 at (-2a, 0).

A two-dimensional reducing bend has a linear velocity profile at section (1). The flow is uniform at sections (2) and (3). The depth of the bend perpendicular to the plane of the paper is 1 ft. Consider steady incompressible flow. Calculate the discharge at section (1). Also calculate the magnitude and h₁ = 2 ft direction of the uniform velocity at section (3). Hint: the cross-sectional areas are rectangular VA V₁, max 10 ft/s h3 = 1.5 ft- V2 = 15 ft/s - h₂ = 1 ft 0 = 60°

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