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Homework Help: Compressible Flow

  1. Sep 29, 2010 #1
    1. The problem statement, all variables and given/known data

    Consider the flow with velocity vector v = xi.
    Show that the individual particles have the position vectors r(t) = c1eti + c2j + c3k with constant c1, c2, c3.
    Show that the particles that at t = 0 are in the cube whose faces are portions of the planes x = 0, x = 1, y = 0, y = 1, z = 0, z = 1 occupy at t = 1 the volume e.

    2. Relevant equations

    Vector divergence formula regarding the condition of incompressibility, which is div v = 0.

    3. The attempt at a solution

    I don't understand what the question is asking. I only know that divergence explains the direction and magnitude of a vector field, as well as how to work it out. I also don't understand the notations describing the cube.
  2. jcsd
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