# Question 11.8: The steady, 2D inviscid ﬂow of an incompressible ﬂuid shown ...

The steady, 2D inviscid ﬂow of an incompressible ﬂuid shown in Figure 11.7 is described by u = kx, v = −ky, w = 0, and p(x, y) = p_{0} − ρ(k²/2)(x² + y²), where k is a constant, p_{0} is the pressure at the origin, and body forces have been neglected. This inviscid ﬂow model for a constant density ﬂow approaching a plane wall is referred to as plane stagnation point ﬂow. Show that this ﬂow satisﬁes the continuity and Euler equations, and comment on whether the no-slip, no-penetration conditions are or are not satisﬁed.

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