You are watching air flow over a smooth flat plate with a width of 5.0 meters. Noticing that the inlet air has a uniform flow with velocity of 10.8 m/s, while downstream a boundary layer is formed with a height of 2 cm. Measuring it, the velocity profile of the boundary layer is u(y) = 10(30y - 100y2) m/s. You imagine a rectangular box around the flow and wonder if mass is crossing the upper boundary (see diagram below). You cant decide if mass is entering or leaving the upper boundary, so you decide to calculate it. How much air is entering/leaving the control volume thru the upper surface?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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You are watching air flow over a smooth flat plate with a width of 5.0 meters. Noticing that the inlet air has a uniform flow with velocity of 10.8 m/s, while downstream a boundary layer is formed with a height of 2 cm. Measuring it, the velocity profile of the boundary layer is u(y) = 10(30y - 100y2) m/s. You imagine a rectangular box around the flow and wonder if mass is crossing the upper boundary (see diagram below). You cant decide if mass is entering or leaving the upper boundary, so you decide to calculate it. How much air is entering/leaving the control volume thru the upper surface?

Umax
m
u(y)
X
Transcribed Image Text:Umax m u(y) X
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