example 10-2 - Example 10-2 Oil flows through a gradual...

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Example 10-2 Oil flows through a gradual contraction in a pipe, as shown. A manometer containing mercury and oil is used to determine the pressures in the upstream and downstream locations. Assuming inviscid flow, and using data on the figure, calculate the mass flow rate. Solution: Use the manometer to determine the pressure drop along the center streamline. The pressure at the bottom of the left leg of the manometer equals the pressure at the bottom of the right leg, therefore () ( ) 13 1 1 23 2 oH g o 2 H g Pg hh g hP g gh ρ ρρ +− += + 12 1 1 2 2 go H g P h g hg h −= + ( ) 21 g P h h g h h − + ( ) H go PP g h h
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3 kg rho_('Mercury-liquid',20) 13546 m Hg ρ == () 33 kg kg 0.77 1000 770 mm ow a t e r SG ρρ = The pressure difference along the center streamline is 12 23 m4 . 41 . 7 k g 9.81 m 13546 770 s1 0 0 PP m ⎛⎞ −= ⎜⎟
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example 10-2 - Example 10-2 Oil flows through a gradual...

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