2. For a two-dimensional flow the velocities at a point in a fluid may be expressed in the Eulerian system by u = x + y+2t and v= 2y+t. %3D Find the displacements x(t) and y(t) in the Lagrangian system as function of the initial positions x, and y and the time t. Determine the fluid velocity at (1,1) initially. (i) (ii)

Elements Of Electromagnetics
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2. For a two-dimensional flow the velocities at a point in a fluid may be expressed in the
Eulerian system by
u = x + y+2t and v= 2y+t.
(i)
Find the displacements x(t) and y(t) in the Lagrangian system as function of
the initial positions x, and y, and the time t.
Determine the fluid velocity at (1,1) initially.
(ii)
Transcribed Image Text:2. For a two-dimensional flow the velocities at a point in a fluid may be expressed in the Eulerian system by u = x + y+2t and v= 2y+t. (i) Find the displacements x(t) and y(t) in the Lagrangian system as function of the initial positions x, and y, and the time t. Determine the fluid velocity at (1,1) initially. (ii)
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