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Given an incompressible 2D flow with x and z velocity given by u= alphax and w= beta z

Ahow are alpha and beta related?
Bif the initial positions (t=0) are given by X and Z what are the fluid positions x,z in terms of X,Z,t?
Csketch the x,z fluid element trajectory D) express the velocity field in lagrangian coordinates.

Verified Answer :

MissPhiladelphia
AThe alpha and beta are related because they both represent the space time of the flow in the two directions
B) In terms of X, Z, t, the fluid positions x,z are alphax and betaz
C) and D) The velocity field can be expressed a <u,w>

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