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Convective Acceleration

The acceleration of an element of fluid, given by the Convective Derivative of the Velocity ${\bf v}$,

{D{\bf v}\over Dt} = {\partial{\bf v}\over\partial t}+{\bf v}\cdot\nabla{\bf v},

where $\nabla$ is the Gradient operator.

See also Acceleration, Convective Derivative, Convective Operator


Batchelor, G K. An Introduction to Fluid Dynamics. Cambridge, England: Cambridge University Press, p. 73, 1977.

© 1996-9 Eric W. Weisstein