Question
For a two-dimensional incompressible flow field given by
, where A>0,
which one of the following statements is FALSE?
Options :
It satisfies continuity equation.
It is unidirectional when x→0 and y → ∞ .
Its streamlines are given by x = y .
It is irrotational.
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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