Fluid Kinematics (continued)
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Note
the general form of the material
derivative is: D( )/Dt = ∂(
)/∂t + u ∂(
)/∂x + v ∂(
)/∂y + w ∂(
)/∂z The
term ∂V/∂t is the “local”
acceleration and the terms u ∂V/∂x + v ∂V/∂y + w ∂V/∂z are the
“convective” acceleration terms. Note
again the local acceleration is zero for “steady” flow (no change with time). Convective
terms account for acceleration resulting with change in position for any given
time such as might occur in a converging or diverging section of pipe. Click
here to continue with discussion of rotation vector and vorticity. |
Copyright © 2019 Richard C. Coddington
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