For a steady two-dimensional flow, the scalar components of the velocity field are Vx = -2x, vy = 2y, vz = 0.The corresponding components of acceleration ax and ay, respectively are;

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  1. ax = 0, ay = 0
  2. ax = 4x, ay = 0
  3. ax = 0, ay = 4y
  4. ax = 4x, ay = 4y

Answer (Detailed Solution Below)

Option 4 : ax = 4x, ay = 4y
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\({a_x} = u\frac{{du}}{{dx}} + v\frac{{du}}{{dy}} + w\frac{{du}}{{dz}} + \frac{{du}}{{dt}}\)

= (-2x) × (2) = 4x

\({a_y} = u\frac{{dv}}{{dx}} + v\frac{{dv}}{{dy}} + w\frac{{dv}}{{dz}} + \frac{{dv}}{{dt}}\)

= 0 + 2y × 2 + 0 + 0 = 4y

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