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A velocity potential is a scalar function whose gradient is equal to the velocity of the fluid at that point. If a fluid is incompressible and has zero viscosity (an ideal fluid) its velocity as a function of position can always be described by a velocity potential. For a real fluid this is not generally possible.

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A velocity potential is a scalar field in fluid dynamics that represents the velocity of a fluid flow as the gradient of a potential function. It is used to simplify the analysis of incompressible and irrotational flow problems. By taking the gradient of the velocity potential, the velocity field can be derived.

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11mo ago
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Q: What is a velocity potential?
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