Question

For a two-dimensional incompressible flow field given by , where A>0, which one of the following statements is FALSE?

Options :

  1. It satisfies continuity equation.

  2. It is unidirectional when x→0 and y → .

  3. Its streamlines are given by x = y .

  4. It is irrotational.

Show Answer

Answer :

Its streamlines are given by x = y .

Solution :

2Dncompressible flow continuity equation.

A – A = 0 it satisfies continuity equation.

As y → ∞.velocity vector field will not be defined along y axis.

   So flow will be along x-axis i.e. 1-D flow

      ⇒ Stream line equation for 2D

            

             

In x = – ln y + ln c

ln xy = ln c

xy = c → stream line equation

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