The fluid in direct contact with a stationary solid boundary has zero velocity; there is no slip at the boundary. Thus the flow over a flat plate adheres to the plate surface and forms a boundary layer, as depicted below. The flow ahead of the plate is uniform with velocity V =Ui; U =30m s. The velocity distribution within the boundary layer 0≤y ≤δ along cd is approximated as u U= 2 y δ − y δ 2.

The boundary-layer thickness at location d is δ=5 mm. The fluid is air with density ρ=1 24 kg m3. Assuming the plate width perpendicular to the paper to be w=0 6 m, calculate the mass flow rate across surface bc of control volume abcd.

Transcribed Image Text:

a d U Edge of boundary layer