Presentation is loading. Please wait.

Presentation is loading. Please wait.

FLOW FIELD SPECIFICATION Eulerian and Lagrangian descriptions: Eulerian Lagrangian.

Similar presentations


Presentation on theme: "FLOW FIELD SPECIFICATION Eulerian and Lagrangian descriptions: Eulerian Lagrangian."— Presentation transcript:

1 FLOW FIELD SPECIFICATION Eulerian and Lagrangian descriptions: Eulerian Lagrangian

2 Velocity field and trajectories StreamlinesParallel (tangent) to the velocity vector → boundaries are streamlines. Represent velocity trajectories. slope of streamlines

3 What can we say about these streamlines?

4 PathlinesTrajectory of an identified water parcel – represent one particle at different times. (e.g. progressive vector diagrams)

5 StreaklinesPathlines that move more than a single point through the flow. Represent multiple particles at one time. https://visualization.hpc.mil/wiki/Streaklines Effective way to identify flow discontinuities through large separation of the points in the Streakline. Streamlines = Pathlines = Streaklines if the flow is steady, i.e.,

6 Stream function In two dimensional flow we can define a stream function Ψ, such that: x y A B What is the mass flux ρQ across the line AB? If AB II to y, then Q = u dy But in general AB can be defined by (dy,-dx), so that

7 If A and B are on the same streamline, then Q = 0, so Ψ must be a constant along a streamline. Another way to look at it: slope of streamlines Ψ must be a constant along a streamline.

8 Differentiating following a fluid parcel Adopting the Eulerian description, the rate of change of properties following a parcel: local advective


Download ppt "FLOW FIELD SPECIFICATION Eulerian and Lagrangian descriptions: Eulerian Lagrangian."

Similar presentations


Ads by Google