chapter 3 hydraulics of open channel flow

TABLE 3.1 Channel Section Geometric Properties
Channel Definition Area Wetted Perimeter Hydraulic Radius Top Width Hydraulic Depth
A P R T D
(1) (2) (3) (4) (5) (6)
3.2
by b � 2y
by
�� b y
b � 2y
Rectangle
HYDRAULICS OF OPEN CHANNEL FLOW
Trapezoid
with
equal side (b � zy)y b � 2y�1� �� z� 2�
(b � zy)
y
�
b � 2y�1�
�� z� 2�
� b � 2zy � ( b � zy)
y
�
b � 2zy
slopes
by � 0.5y2 (z1 � z2) ��
b � y(z1 � z2) � y ( �1�
��
� �1�
�� z� 2 z� 2� 1
2�)
Trapezoid
with
� b � y (z 1 + z 2 )
by � 0.5y2 (z1 � z
���2)
b � y(�1� �� z� 2� 1 � �1� �� z� 2 2�)
unequal by � 0.5y 2 (z 1 � z 2 ) � b
side slopes
Triangle
with equal zy2 2y�1� �� z� 2�
zy
�
2�1� �� z� 2�
� 2zy 0.5y
side slopes
Triangle
with 0.5y2 (z1 � z2 ) y (�1� �� z� 2� 1 � �1� �� z� 2 0.5y
2�) y (z1 � z2) 0.5y
unequal
side slopes
2 ( z1 � z2 )
���
y (�1� �� z� 2� 1 � �1� �� z� 2 2�)
2�y( � d� o��� y� )� � 1
8 � ⎡ θ � sinθ
⎢ �� ⎣ sin(0.5θ)
⎤ ⎥
⎦
� 1
8 �(θ � sinθ )do 2 0.5θdo 0.25 ⎛ ⎜1 � �
⎝
sinθ
⎞
� ⎟⎠ do θ
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CircularFigure T3.1-6