GATE XE (Engineering Sciences) 2007 - Question 41

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Section: Fluid Mechanics | Marks: 2

In a steady two-dimensional incompressible flow, the stream function ($\psi$) obeys the equation $\frac{\partial^2 \psi}{\partial x^2} + \frac{\partial^2 \psi}{\partial y^2} = 4$. A solution of this equation is

  • A. $\psi = x^2 + y^2$
  • B. $\psi = y^2 - x^2$
  • C. $\psi = xy$
  • D. $\psi = x + y$

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