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Mannings Pipe Capacity

Computes the flow capacity, velocity, flow area, and hydraulic radius of circular drainage pipes using Manning's equation Q = (1/n) * A * R^(2/3) * S^(1/2), supporting both full and partially full pipe flow via the central angle geometry method. Used in stormwater and sewer pipe sizing per HEC-22 and QUDM to verify that pipe capacity meets the design discharge.

inputs

4 fields

context

4 archetypes

engine

with-tool

outputs

4 scored fields

contract fields

Parameter Map

4 inputs to 4 scored outputs

  • pipe_diameter_m

    float

    Internal pipe diameter D

    0.15 to 3m

  • mannings_n

    floatfrom archetypehidden in hard

    Manning's roughness coefficient n

    0.009 to 0.025

  • slope_m_per_m

    float

    Longitudinal pipe slope S

    0.001 to 0.1m/m

  • flow_depth_ratio

    floatoptional

    Flow depth to diameter ratio d/D (1.0 = full)

    0.1 to 1
flow_area_m2tol 0.03

Flow cross-sectional area A (m²)

hydraulic_radius_mtol 0.03

Hydraulic radius R (m)

flow_velocity_m_stol 0.03

Flow velocity V (m/s)

flow_capacity_m3_stol 0.03

Flow capacity Q (m³/s)

visibility contract

Difficulty Ladder

all_giveneasy

Full pipe flow, all parameters given

all fields visible
all_givenmedium

Partially full flow, all parameters given

all fields visible
partialhard

Partially full flow, roughness coefficient hidden

mannings_n

scenario bands

Archetype Atlas

concrete_pipe

2 contexts

Concrete stormwater pipe

mannings_n0.011 to 0.015

brisbane-suburban-drainage / sydney-trunk-stormwater

pvc_pipe

2 contexts

PVC or HDPE smooth-wall pipe

mannings_n0.009 to 0.011

perth-residential-drainage / melbourne-subdivision

corrugated_metal_pipe

2 contexts

Corrugated metal pipe (CMP)

mannings_n0.019 to 0.025

darwin-rural-crossing / cairns-temporary-diversion

vitrified_clay_pipe

2 contexts

Vitrified clay sewer pipe

mannings_n0.011 to 0.015

adelaide-heritage-sewer / hobart-infill-drainage

rendered task

Generation Preview

brisbane-suburban-drainage-concrete-pipe-preview

difficulty
hard
visibility
partial
archetype
concrete_pipe
site context
brisbane-suburban-drainage
instruction excerptmannings-pipe-capacity_calc.py

visible fields

  • pipe_diameter_m0.15 to 3 m
  • slope_m_per_m0.001 to 0.1 m/m
  • flow_depth_ratio1

withheld schema

mannings_nflow_area_m2hydraulic_radius_mflow_velocity_m_sflow_capacity_m3_s
Concrete stormwater pipe. brisbane-suburban-drainage. Required outputs: flow_area_m2, hydraulic_radius_m, flow_velocity_m_s, flow_capacity_m3_s