Partially Full Pipe Flow Calculator and Equations

Fluid Flow Table of Contents | Hydraulic and Pneumatic Knowledge
Fluid Power Equipment

This engineering calculator determines the Flow within a partially full pipe using the Manning equation. This calculator can also be used for uniform flow in a pipe, but the Manning roughness coefficient needs to be considered to be variable, dependent upon the depth of flow.

Partially Full Pipe Flow Calculations  -  U.S. Units
II. Calculation of Discharge, Q, and average velocity, V
    for pipes more than half full
Instructions:  Enter values in blue boxes.  Calculations in yellow
Inputs         Calculations    
                 
Pipe Diameter, D = in   Pipe Diameter, D = ft
Depth of flow, y = in   Pipe Radius, r = ft
     (must have y > D/2)              
          Circ. Segment Height, h = ft
Full Pipe Manning              
roughness, nfull =     Central Angle, q = radians
Channel bottom       Cross-Sect. Area, A = ft2 
slope, S = ft/ft          
          Wetted Perimeter, P = ft
Calculations         Hydraulic Radius, R = ft
                 n/nfull  =       Discharge, Q = cfs
Partially Full Manning         Ave. Velocity, V = ft/sec
roughness, n =              
                pipe % full [(A/Afull)*100%] =   
                 
        r = D/2    
      h = 2r - y    
        (hydraulic radius)    
        R = A/P    
        (Manning Equation)
        Q = (1.49/n)(A)(R2/3)(S1/2)
        V = Q/A  P  
                 
                 
                 
                 
                 
                 
                 
                 
Equation used for n/nfull:  n/nfull = 1.25 - (y/D -0.5)*0.5    (for 0.5  <  y/D  <  1)
               
                 
                 
                 
                 
                 
                 
                 
                 
                 
                 
                 
                 
                 
                 
                 
                 
Flow In Partially Full Pipes    
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