The velocity field of a flow is given 2 2 V x ti y t x t j m s = + −+ 2 4 ( 1) 2 / ⎡ ⎤ ⎣ ⎦ K JK , where x and y are in meters and t is seconds. For fluid particles on the x axis, determine the speed and direction of flow.
velocity field of a flow: In continuum mechanics the flow velocity in fluid dynamics, also macroscopic velocity
If a fluid particle moves along the curve
then its velocity at time t is the derivative
of its position with respect to t. Thus, for a time-independent velocity vector field
the fluid particles will move in accordance with an autonomous, first order system of ordinary differential equations
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