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Calculate discharge in open channel using Manning equation

Calculate discharge in open channel using Manning equation.

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Quick Answer

The calculate discharge in open channel using manning equation computes q_discharge from the input values you provide.

Calculator

q_discharge (m³⁄s)
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Result Interpretation

Calculate discharge in open channel using Manning equation computes q_discharge in m^3/s using the defined engineering formula and the input values provided. q_discharge is expressed in m^3/s. No universal acceptance threshold is defined by this calculator.

Worked Example

default_test

Given:

  • r_hyd = 1
  • a_flow = 5
  • n_rough = 0.025
  • s_slope = 0.001

Expected Result:

  • q_discharge = 6.3245553203368

Engineering Interpretation:

Under the given input conditions, the calculated result is: q_discharge = 6.3245553203368 m^3/s.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.

Formula / Method

q_discharge = a_flow * pow(r_hyd, 0.6666666667) * sqrt(s_slope) / n_rough

q_discharge.

Variables

SymbolLabelRoleDescription
a_flow a_flow INPUT a_flow
r_hyd r_hyd INPUT r_hyd
s_slope s_slope INPUT s_slope
n_rough n_rough INPUT n_rough
q_discharge q_discharge OUTPUT q_discharge

Calculation Steps

  1. Enter the a_flow in m^2.
  2. Enter the r_hyd in m.
  3. Enter the s_slope in m/m.
  4. Enter the n_rough in s/m^(1/3).
  5. Read the q_discharge (m^3/s) from the results.

Frequently Asked Questions

What does this calculator calculate?

The Calculate discharge in open channel using Manning equation estimates q_discharge based on the input parameters you provide

Why is a_flow important in this calculation?

a_flow is directly proportional to q_discharge. When you enter a_flow in m^2, the calculator uses it in the engineering formula to compute the output

How should I interpret the result q_discharge?

The calculator outputs q_discharge in m^3/s. To convert to liters per second, multiply by 1000. For liters per minute, multiply by 60000. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: a_flow (m^2), r_hyd (m), s_slope (m/m), n_rough (s/m^(1/3)). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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