Weekly Tutorial Assignment Wk7 Solution (1)
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AMME2261 Weekly Tutorial Assignment Due at the start of your tutorial class in Wk 7 A crude approximation for the x-component of velocity in a two-dimensional, incompressible boundary layer is a linear variation from u = 0 at the surface (where y = 0) to the free stream velocity, U, at the edge of the boundary layer (where y = ). The equation for the profile is u=Uy / δ where δ=cx 1/ 2 and c is a constant. surface free stream , U x y Show that the simplest expression for the y-component of velocity in the boundary layer is v=uy / 4 x. Note: In reality, the x-component of velocity in a laminar boundary layer has a parabolic profile (see Fluid Mechanics 2 course).
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Weekly Tutorial Assignment for Fluid Dynamics
Transcript of Weekly Tutorial Assignment Wk7 Solution (1)
AMME2261 Weekly Tutorial Assignment
Due at the start of your tutorial class in Wk 7
A crude approximation for the x-component of velocity in a two-dimensional, incompressible boundary layer is a linear variation from u = 0 at the surface (where y = 0) to the free stream velocity, U, at the edge of the boundary layer (where y = ). The equation for the profile is where and c is a constant.
Show that the simplest expression for the y-component of velocity in the boundary layer is
Note: In reality, the x-component of velocity in a laminar boundary layer has a parabolic profile (see Fluid Mechanics 2 course).
Solution: