Trapezoidal channel: uniform flow
Depth
Flow
Inferior width (b)
Roughness coefficient
Slope

Input data

Flow

Inferior length (b)

Z1

Z2

Slope

Roughness coefficient (n)

Output data

Flow normal depth

Superior width (B)

Velocity

U²/2g

Description

Given the basic characteristics of a trapezoidal channel in uniform flow, calculate:

  • Normal flow depth
  • Flow
  • Roughness coefficient (nn)
  • Slope

Trapezoidal Channel Diagram

Calculation Methods

  • Depth

    • Inputs

      ParameterDefault UnitDescription
      Flow (QQ)m3/sm^3/sVolumetric flow rate
      Inferior width (bb)mmBase width of the channel
      Z1Z1-Left side slope
      Z2Z2-Right side slope
      Slope (II)-Channel slope
      Roughness coefficient (nn)-Channel roughness
    • Outputs

      ParameterDefault UnitDescription
      Normal flow depth (yy)mmComputed flow depth
      Superior width (BB)mmTotal width at the top of the channel
      Velocity (UU)m/sm/sAverage flow velocity
      U2/2gU^2/2g-Energy term per unit mass
  • Flow

    • Inputs

      ParameterDefault UnitDescription
      Depth (yy)mmFlow depth
      Inferior width (bb)mmBase width of the channel
      Z1Z1-Left side slope
      Z2Z2-Right side slope
      Slope (II)-Channel slope
      Roughness coefficient (nn)-Channel roughness
    • Outputs

      ParameterDefault UnitDescription
      Flow (QQ)m3/sm^3/sComputed flow rate
      Superior width (BB)mmTotal width at the top of the channel
      Velocity (UU)m/sm/sAverage flow velocity
      U2/2gU^2/2g-Energy term per unit mass
  • Inferior width (bb)

    • Inputs

      ParameterDefault UnitDescription
      Depth (yy)mmFlow depth
      Flow (QQ)m3/sm^3/sVolumetric flow rate
      Z1Z1-Left side slope
      Z2Z2-Right side slope
      Slope (II)-Channel slope
      Roughness coefficient (nn)-Channel roughness
    • Outputs

      ParameterDefault UnitDescription
      Inferior width (bb)mmBase width of the channel
      Superior width (BB)mmTotal width at the top of the channel
      Velocity (UU)m/sm/sAverage flow velocity
      U2/2gU^2/2g-Energy term per unit mass
  • Roughness coefficient (nn)

    • Inputs

      ParameterDefault UnitDescription
      Depth (yy)mmFlow depth
      Flow (QQ)m3/sm^3/sVolumetric flow rate
      Inferior width (bb)mmBase width of the channel
      Z1Z1-Left side slope
      Z2Z2-Right side slope
      Slope (II)-Channel slope
    • Outputs

      ParameterDefault UnitDescription
      Roughness coefficient (nn)-Computed channel roughness
      Superior width (BB)mmTotal width at the top of the channel
      Velocity (UU)m/sm/sAverage flow velocity
      U2/2gU^2/2g-Energy term per unit mass
  • Slope (II)

    • Inputs

      ParameterDefault UnitDescription
      Depth (yy)mmFlow depth
      Flow (QQ)m3/sm^3/sVolumetric flow rate
      Inferior width (bb)mmBase width of the channel
      Z1Z1-Left side slope
      Z2Z2-Right side slope
      Roughness coefficient (nn)-Channel roughness
    • Outputs

      ParameterDefault UnitDescription
      Slope (II)-Computed channel slope
      Superior width (BB)mmTotal width at the top of the channel
      Velocity (UU)m/sm/sAverage flow velocity
      U2/2gU^2/2g-Energy term per unit mass

References

  • SILVESTRE, Paschoal. Hidráulica geral. Rio de Janeiro, LTC, 1979.