Open Channel Flow   Gradually Varying Flow  (continued)

 

 

Next consider a rectangular channel as shown in the figure below with width, w, and liquid depth, y.

                                                    

 

 

The table below summarizes the flow characteristics for Fr <1 (subcritical), Fr =1 (critical)

and Fr > 1 (supercritical) for a rectangular channel.  Define  q  =  Q/w   where Q is the

flow rate.

 

 

Characteristic

 

       Subcritical

 

       Critical

 

    Supercritical

 

 

Depth of Flow

 

 

          y > yc

 

    y = yc = (q2/g)1/3

 

        y < yc

 

Velocity of Flow

 

 

         V < Vc

 

    V = Vc = √gy

 

        V > Vc

 

Slope for

Uniform Flow

 

 

    Mild Slope

        So < Sc

 

   Critical Slope

      So = Sc

 

    Steep Slope

      So > Sc

 

Froude Number

 

 

        Fr < 1.0

 

        Fr = 1.0

 

        Fr > 1.0

 

Disturbance

 

 

Will propagate upstream

 

Will hold fast

 

Will form standing wave

 

Other Feature

 

 

       V2/2g < ½ y

 

      V2/2g = ½ y

 

       V2/2g > ½ y

 

Click here to continue discussion.

 


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