Boundary layer For a steady laminar flow over a flat plate, the velocity profile of the boundary layer is defined as
(u)/(U)={(sin((\pi y)/(2\delta (x))),y<=\delta (x)),(1,y>\delta (x)):}When there exists two parallel plates with gap thickness
has shown below, the two boundary layers meet at a distance
xaway from
x=0. Show that
x=10hwhen
Rebased on gap thickness
his
80(\pi ^(2))/(5-\pi ).[Hint:
\int sin(ax)dx=-(cos(ax))/(a)+const.,
\int sin^(2)(ax)dx=
(x)/(2)-(sin(2ax))/(4a)+const.]
