Individual Derivative
Individual Derivative :
Also called: material derivative, particle derivative, substantial derivative: The rate of change of a quantity with respect to time, following a fluid parcel. For example, if (/), z = z(z) are the equations of motion of a certain particle of this fluid, then the total derivative, dt dt dx dt dz dt (where V is the velocity of the fluid and V is the del-operator), is an individual derivative. It gives the rate of change of the property of a given parcel of the fluid as opposed to the rate of change at a fixed geometrical point which is usually called the local derivative. The term V - V0 is called the advective term, expressing the variation of on a parcel moving into regions of different (p. See total derivative. N.B. Refer to source to verify equation(s)
