Exam 9: Compressible Flow

\text {A stratified liquid flows in a 80 - \mathrm { cm }-wide, 40 -cm-high channel with the density distribution }$\rho ( y ) = 800 ( 1 + 0.2 y ) \mathrm { kg } / \mathrm { m } ^ { 3 }$ \text {and a uniform velocity distribution of 1.2 \mathrm {~m} / \mathrm { s }, with \(y\) measured}$\text { from the bottom of the channel. The mass flux is nearest:}$

The exit velocity is 12 m/s. The inlet velocity of the water is

$\text {Water flows over a flat plate so that at }$$\text {the downstream end it has the velocity}$ \text {profile shown. The average velocity\bar { v }} $\text {across the upper horizontal surface is }$$\text {nearest:}$

\text {Water flows into and out of the tank. If V = 8 \mathrm {~m} / \mathrm { s } and} $Q = 0.02 \mathrm {~m} ^ { 3 } / \mathrm { s }$ , $\text {the mass flux is nearest:}$