Spring 08 HW 6

Spring 08 HW 6 - CEE 3304 Spring 2008 CEE 3304 Spring 2008...

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Unformatted text preview: CEE 3304 Spring 2008 CEE 3304, Spring 2008, HW#6 by: Amr A. El-Sayed 1 HW #6 Flow Kinematics, and Bernoulli’s Equation Problem 4.63 Given: Water in a flume is described in the problem statement. Find: If gage A will read greater or less than gage B. Solution Both gage A and B will read the same pressure, due to hydrostatic pressure distribution in the vertical direction in both cases. There is no acceleration in the vertical direction. If the flow velocity is uniform throughout the whole depth, the pressure reading of (B) will be less. CEE 3304 Spring 2008 CEE 3304, Spring 2008, HW#6 by: Amr A. El-Sayed 2 Problem 4.64 Given: An apparatus is used to measure the air velocity in a duct. It is connected to a slant tube manometer with a 30 o leg with the indicated deflection. The air in the duct is 20 o C with a pressure of 150 kPa, abs. The manometer fluid has a specific gravity of 0.7. Find: Air velocity Solution The side tube samples the static pressure for the undisturbed flow and the central tube senses the stagnation pressure. Bernoulli equation g V z p g V z p 2 2 2 2 2 2 2 1 1 1 + + = + + γ γ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + = + g V p g V p 2 2 2 2 2 2 1 1 γ γ Where γ γ t p g V p = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + 2 2 2 2 air t p p g V γ 1 2 1 2 − = ………. #1 The unit weight of air depends on it pressure and its temperature; Ideal gas law = ( ) RT p air = ρ ρ Density, kg/m 3 p Absolute pressure, kPa (kN/m 2 ) T Absolute temperature, ( ) K C t T o ⋅ + = 273 R Gas constant 1 2 h CEE 3304 Spring 2008 CEE 3304, Spring 2008, HW#6 by: Amr A. El-Sayed 3 (R) = K kg Joul K kg m N K m kg m N T p .....
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Spring 08 HW 6 - CEE 3304 Spring 2008 CEE 3304 Spring 2008...

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