In fluid dynamics the Lagrangian reference frame is a way of looking at fluid motion where the observer follows individual fluid particles as they move through space and time. Plotting the position of an individual particle through time gives the pathline of the particle. This can be visualized by sitting in a boat drifting down a river. Fluid dynamics is the subdiscipline of fluid mechanics that studies fluids (liquids and gases) in motion. ... In fluid dynamics pathline is a line that a single particle traces out over time. ...
The Eulerian reference frame is a way of looking at fluid motion that focuses on specific points in the space through which the fluid moves. This can be visualized by sitting on the bank of a river and watching the water pass your location. Values about the fluid flow are determined as vectors at discrete locations.
They are related by the Convective derivative or Lagrangian derivative. The convective derivative, also known as the Lagrangian derivative, is a derivative taken with a respect to a coordinate system moving with velocity u, and is often used in fluid mechanics. ...
This tell us the rate of change of F whilst moving with the fluid at velocity u.
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