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Examples of Potential Flows

SOURCE FLOW. Potential Function. r. y. Cartesian coordinates. x. Examples of Potential Flows. Cartesian coordinates. Polar coordinates. For a SINK flow, Q will be negative. VORTEX. The circulation along any circle around the origin is a constant. Examples of Potential Flows.

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Examples of Potential Flows

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  1. SOURCE FLOW Potential Function r y Cartesian coordinates x Examples of Potential Flows

  2. Cartesian coordinates Polar coordinates

  3. For a SINK flow, Q will be negative

  4. VORTEX The circulation along any circle around the origin is a constant Examples of Potential Flows As a potential flow, it is irrotational & incompressible

  5. VORTEX

  6. VORTEX Potential Function

  7. Stream Function VORTEX

  8. y DOUBLET (Sources and Sinks) Both have strength Q. The flow field can be obtained by combining the potential function for the sink φ2 and the source φ1. Laplace’s function is linear – linear superposition is valid. source sink x Taylor expansion

  9. Similarly

  10. In the same way ψ2 and ψ 1can be added because Laplace’s function is linear – linear superposition is valid.

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