online_lane_shape:  Calculation of equilibrium channel top width using the Lane et al. theory

The Mississippi river near Lake Bemidji, Minnesota


Formula:

To = Yo  cos-1 (β tanφ ) [2 / tanφ] [(1 + β tanφ ) / (1 - β tanφ )]1/2

Reference:  Ponce, V. M., 1982. The equilibrium shape of self-formed channels in noncohesive alluvium: The Lane et al. theory revisited. SDSU Civil Engineering Series 82151, San Diego State University, San Diego, California.

 SI Units (metric):   Flow depth Yo in m; friction angle φ in degrees; β is dimensionless. 

 U.S. Customary Units:   Flow depth Yo in ft; friction angle φ in degrees; β is dimensionless. 


INPUT DATA:

Select:      

Flow depth Yo  (at channel centerline):        
 
Friction angle φ  (repose angle):                  
[Recommended range:  5oφ ≤ 45o]
 
Ratio of lift force to drag force β :                 
[Recommended range:  -1 ≤ β ≤ 1]
 

OUTPUT:

Channel top width To :     



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  Your request was processed at  09:38:24 pm on November 22nd, 2017   [ 171122  21:38:24 ].


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