Question

Discuss formation of Rankine half body (Equations of stream function and velocity field, along with explanation – Stagnation point - Computer program/flowchart to analyze and visualize the flow field - ,, Plots of some proposed numeric cases).

Answer 1

Answer:

In the field of fluid dynamics, a Rankine half body is a feature of fluid flow discovered by Scottish physicist and engineer William Rankine that is formed when a fluid source is added to a fluid undergoing potential flow. Superposition of uniform flow and source flow yields the rankine half body flow. A practical example of this type of flow is a bridge pier or a strut placed in a uniform stream. The resulting stream function ( {\displaystyle \psi } \psi ) and velocity potential ( {\displaystyle \phi } \phi ) are obtained by simply adding the stream function and velocity potential for each individual flow.

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