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Open Channel Hydraulics (V.T Chow) Solved Example # 02

By: Syed Ahmad Amin Shah / On: Feb 05, 2019 / Solved Problems
Q.No. 02 Verify by computation the depth-velocity relationships shown in figure below for the four flow regimes in a wide rectangular open channel. The          
temperature of the water is taken as 68°F. Depth Vs Velocity Chart      
           
  Figure 1        
           
SOLUTION:          
For verification of type of depth velocity relationship first we will assume a wide     
rectangular channel with a constant width then we will take values of V and Y from    
the given figure and by calculations we will verify our assumptions      
           
Channel width = 2 ft    
Flow range & type = Subcritical Laminar 1    
Flow Velocity  = 0.2 ft/s    
Flow depth = 0.02 ft    
Acc gravity = 32.2 ft/s    
           
Hydraulic radius = 0.0196      
υ   = 0.0000108 ft2/s @ 68F
Froud No = 0.25      
Rynold's No = 364      
For Froud's No 0.25 and Rynold's No 364 it can be verified from Figure.1, that Flow is in Subcritical Laminar 1          
Channel width = 2 ft  
Flow range & type = Supercritical Laminar 2  
Flow Velocity  = 2 ft/s  
Flow depth = 0.0025 ft  
Acc gravity = 32.2 ft/s  
         
Hydraulic radius = 0.0025 ft  
υ   = 0.0000108 ft2/s
Froud No = 7.05    
Rynold's No = 462    
For Froud' No 7.05 and Rynold's No 462 it can be verified from Figure.1, that Flow is in Supercritical Laminar 2        
         
Channel width = 2 ft  
Flow range & type = Supercritical Turbulent 3  
Flow Velocity  = 10 ft/s  
Flow depth = 0.1 ft  
Acc gravity = 32.2 ft/s  
         
Hydraulic radius = 0.0909 ft  
υ   = 0.0000108 ft2/s
Froud No = 5.57    
Rynold's No = 84176    
For Froud's No5.57 and Rynold's No 84176 it can be verified from Figure.1, that Flow is in Supercritical Turbulent 3      

 

Channel width = 2 ft  
Flow range & type = Subcritical Turbulent 4  
Flow Velocity  = 0.25 ft/s  
Flow depth = 0.1 ft  
Acc gravity = 32.2 ft/s  
         
Hydraulic radius = 0.0909 ft  
υ   = 0.0000108 ft2/s
Froud No = 0.14    
Reynold's No = 2105    
For Froud's No 0.14 and Rynold's No 2105 it can be verified from Figure.1, that Flow is in Subcritical Turbulent 4        

Comments

fredluis21 Aug 23, 2019

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