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

References

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