GATE XE (Engineering Sciences) 2018 - Question 27

Section: Fluid Mechanics | Marks: 1

If the stream function ( ( , ) x y ψ ) for a two-dimensional incompressible flow field is given as ( ) 2 2 2y x y − , the corresponding velocity field is

• A. ( ) 2 2 ˆ ˆ 2 3 4 V x y i xy j = − +
• B. ( ) 2 2 ˆ ˆ 2 3 4 V x y i xy j = − −
• C. ( ) 2 ˆ ˆ 2 4 V x y i xy j = −
• D. ( ) 2 ˆ ˆ 2 4 V x y i xy j = +

Answer: B. ( ) 2 2 ˆ ˆ 2 3 4 V x y i xy j = − −