A two-dimensional flow is described by velocity components u = 2x and v= -2y. The discharge between points (1,1) and (2,2) is equal to...

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taulejadacnf · Accepted Answer

v  =                    ∂                    ψ                            ∂            x        =  −  2  y  .  .  .  .  .  .  .  .  .  .  .  (  i  )    u  =                    ∂                    ψ                            ∂            y        =  −  2  x  .  .  .  .  .  .  .  .  .  .  .  .  .  (  i  i  )        ψ    =  −  2  x  y  +  f  (  y  )  .  .  .  .  .  .  .  .  (  i  i  i  )                      ∂                    ψ                            ∂            y        =  −  2  x  +  f      ′    (  y  )  .  .  .  .  .  .  .  .  .  .  .  (  i  v  )        f    ′    (  y  )  =  0  .  .  .  .  .  .  .  .  .  (  v  )    f  (  y  )  =  C        ψ    =  −  2  x  y    A  t     (  1  ,  1  )  ;               ψ        1    =  −  2     u  n  i  t  s    A  t     (  2  ,  2  )  ;               ψ        2    =  −  8  u  n  i  t  s    d  Q  =      |    d      ψ        |    =      |              ψ        2    −            ψ        1        |    =  8  −  2  =  6     u  n  i  t  s

A two-dimensional flow is described by velocity components u = 2x and v= -2y. The discharge between points (1,1) and (2,2) is equal to...

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