Flow in a Rectangular Channel | Fourier Series & Laplace's Equation

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  • เผยแพร่เมื่อ 20 ธ.ค. 2024

ความคิดเห็น • 4

  • @ammonium3757
    @ammonium3757 5 หลายเดือนก่อน +1

    Excellent video!
    I've been trying to follow along and derive the equations, one thing that I'm not sure off is at ~8:40, where you write the boundary conditions after seperating the variables.
    Why is it f(-/+w) = -g(y) and not 0

    • @exploringmaths9336
      @exploringmaths9336  5 หลายเดือนก่อน +1

      Ah, good question. If you look at 7:55, the values of the particular solution on the boundaries (left hand side) aren't all 0. So we need the general solution (right hand side) to balance those out, so that it works when we add the 2 solutions together

    • @ammonium3757
      @ammonium3757 5 หลายเดือนก่อน

      @@exploringmaths9336 Yes, thank you that makes a lot of sens! And thank you again for this great video

  • @arneaj4540
    @arneaj4540 5 หลายเดือนก่อน +1

    Lovely video, I wish I could do science communication that well myself