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cee4324-5984_lecture8

cee4324-5984_lecture8 - CEE 4324/5984 Open Channel Flow...

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Glenn E. Moglen Department of Civil & Environmental Engineering Virginia Tech Flow and Energy in Non-Rectangular Channels CEE 4324/5984 –Open Channel Flow – Lecture 8
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Questions? Brief Review Occurrence of Critical Flow Flow and Energy in Non-Rectangular Cross- Sections Review Rectangular vs. Non-Rectangular equations Today’s Agenda
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Previously, we derived: Now, let’s consider total head ( H ) measured along longitudinal flow direction Let’s take dH/dx : <<see whiteboard>> Occurrence of Critical Flow 2 3 2 1 1 r F gy q dy dE - = - = z g v y z E H + + = + = 2 2
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Regardless of cross-sectional shape: Can be invoked to identify locations where critical flow occurs (e.g. outfall to steep slope) Can also be used to determine qualitative value of depth of flow under varying circumstances (esp. step problems) Occurrence of Critical Flow: Take-away facts ( 29 dx dz F dx dy dx dz dx dE dx dH r + - = + = 2 1
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Figure 2-15 ( y c ) From Henderson (1966)
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Figure 2-16 ( E c ) From Henderson (1966)
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