List of symbols

  • A = cross-section area of flow
  • B = channel surface width
  • CF = discharge coefficient for free-flow undershot gate
  • CG = reference discharge coefficient for gate
  • CS = discharge coefficient for submerged undershot gate
  • g = acceleration of gravity
  • H = total head
  • h = height of water surface above datum
  • hs = gate height for overflow
  • K = Strickler’s coefficient
  • k = 0 for lateral inflow, 1 for lateral outflow
  • kF = flow reduction coefficient for submerged gate
  • L = length of weir crest
  • n = Manning’s roughness coefficient
  • Q = volumetric rate of discharge
  • q = discharge per unit length
  • R = hydraulic radius
  • So = bed slope
  • Sf = friction slope
  • V = mean velocity
  • W = undershot gate or offtake opening
  • x = distance in the direction of flow
  • y = vertical depth of flow
  • Z = elevation
  • Zc = critical elevation
  • e = small increment
  • m = discharge coefficient for pipe free flow
  • m’ = discharge coefficient for pipe submerged
  • mF = discharge coefficient for free flow weir
  • mS = discharge coefficient for submerged weir
  • S = summation symbol