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chapter 3 hydraulics of open channel flow

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TABLE 3.5 Classifications <strong>of</strong> Gradually Varied Flow Pr<strong>of</strong>iles<br />

3.20<br />

Pr<strong>of</strong>ile Designation<br />

Channel Zone Zone Zone Relation <strong>of</strong> y Type Type<br />

Slope 1 2 3 to yN and <strong>of</strong> <strong>of</strong><br />

yc Curve Flow<br />

(1) (2) (3) (4) (5) (6) (7)<br />

HYDRAULICS OF OPEN CHANNEL FLOW<br />

Mild M1 y � yN � yc Backwater Subcritical<br />

0 � So � Sc (dy/dx � 0)<br />

M2 yN � y � yc Drawdown Subcritical<br />

(dy/dx < 0)<br />

M3 yN � yc � y Backwater Supercritical<br />

(dy/dx � 0)<br />

Critical C1 y � yc � yN Backwater Subcritical<br />

So � Sc � 0 (dy/dx � 0)<br />

C2 y � yN � yc Parallel to Uniform<br />

<strong>channel</strong> bottom critical<br />

(dy/dx � 0)<br />

C3 yc � yN � y Backwater Supercritical<br />

(dy/dx � 0)<br />

Steep S1 y � yc � yN Backwater Subcritical<br />

So � Sc � 0 (dy/dx � 0)<br />

S2 yc � y � yN Drawdown Supercritical<br />

(dy/dx � 0)<br />

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