local derivative

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local derivative [′lō·kəl də′riv·əd·iv]

(fluid mechanics)

The rate of change of a quantityfwith respect to time at a fixed point of a fluid, ∂f/∂t;it is related to the individual derivativedf/dtthrough the expression ∂f/∂t=df/dt - V· ∇f,wherefis a thermodynamic propertyf(x,y,z,t) of the fluid,Vthe vector velocity of the fluid, and ∇ the del operator.

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