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# The velocity distribution of a certain two-dimensional flow is given by where A,B and C are constant. Obtain the equation of the motion of the fluid...

In a region by a fixed quadrant arc and its radii deduce the motion due to a source and an equal sink situated at the ends of one of the bounding radii, show that the streamline leaving either end (the source or the sink ) at an angle α with radius us r^2 sin⁡(α+θ)=α^2 sin⁡(α-θ)where a is the radius of the quadrant of the circle

1. The velocity distribution of a certain two-dimensional flow is given by where A,B and C are constant. Obtain the equation of the motion of the fluid particle in material description. 2. Does the two-dimensional incompressible fluid flow described by the velocity components and (where A is a constant) satisfies the continuity equation. 3. Prove that the velocity components and (U and a are constant) satify the equation of motion for a two dimensional inviscid incompressible flow. Find the pressure associated with this velocity field. 4. Within a rigid boundary in the form of the circle there is a liquid motion due to a doublet of strength at the point (0,3) with its axis along the Y axis.find the velocity potential 5. In a region by a fixed quadrant arc and its radii deduce the motion due to a source and an equal sink situated at the ends of one of the bounding radii, show that the streamline leaving either end (the source or the sink ) at an angle with radius us where a is the radius of the quadrant of the circle

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