P.3 Following the non-dimensionalization of the $x$-momentum equation in class, non-dimensionalize the $y$ momentum equation. Consider chapter 7.8.2 and 7.8.3 in the Fluids notes available on the resource palate. What special case reduces the equation to $\frac{\partial p}{\partial y} = 0$? What does that mean, physically, for flow over a plate?
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Step 1: Start with the y momentum equation in its dimensional form: ρ * (du/dt + u * du/dx + v * du/dy + w * du/dz) = -∂P/∂y + ρ * g_y + μ * (∂^2u/∂x^2 + ∂^2u/∂y^2 + ∂^2u/∂z^2) where: - ρ is the density of the fluid - u, v, and w are the velocity components in Show more…
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