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B Series expansion of velocities

  1. Apr 1, 2017 #1
  2. jcsd
  3. Apr 1, 2017 #2


    Staff: Mentor

    U is the velocity in the x direction. And they used a Taylor expansion at 2:38 into the video to get the expression you see. They drop the other terms of the series as negligible when ##\Delta x## tends to zero along with the other deltas t and y.
  4. Apr 2, 2017 #3
    In 2 Δv disappears instead du/dx and Δy appears.

    Thank you.
  5. Apr 2, 2017 #4


    User Avatar
    Homework Helper

    They swapped the order of the first two terms in addition to using [itex]\Delta u \approx \frac{\partial u}{\partial x} \Delta x[/itex] and [itex]\Delta v \approx \frac{\partial v}{\partial y} \Delta y[/itex]
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