Question:
Which one of the following combinations of elementary flows will lead to an ideal flow past a deeply submerged circular cylinder with circulation?
Which one of the following combinations of elementary flows will lead to an ideal flow past a deeply submerged circular cylinder with circulation?
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Cylinder flow = Doublet + Uniform flow;
Cylinder with circulation = Doublet + Uniform flow + Vortex.
Updated On: Dec 2, 2025
- Source, sink and uniform flow
- Doublet, uniform flow and vortex
- Doublet and vortex
- Source and uniform flow
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The Correct Option is B
Solution and Explanation
Ideal flow around a circular cylinder is constructed by superimposing a doublet with a uniform flow, which generates the classical potential flow pattern around a cylinder.
To introduce circulation around the cylinder (i.e., lifting flow, Kutta–Joukowski effect), a vortex must be added to the combination.
Thus, the required elementary flows are:
1. Doublet → represents the cylinder.
2. Uniform flow → represents the free-stream motion.
3. Vortex → introduces circulation around the cylinder.
Therefore, the correct combination is Doublet + Uniform flow + Vortex, which corresponds to Option (B).
To introduce circulation around the cylinder (i.e., lifting flow, Kutta–Joukowski effect), a vortex must be added to the combination.
Thus, the required elementary flows are:
1. Doublet → represents the cylinder.
2. Uniform flow → represents the free-stream motion.
3. Vortex → introduces circulation around the cylinder.
Therefore, the correct combination is Doublet + Uniform flow + Vortex, which corresponds to Option (B).
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