Home Back

Population by Kuichling's Formula given Quantity of Water Calculator

Kuichling's Formula:

\[ P = \left(\frac{Q}{3182}\right)^2 \]

L/min
%

1. What is Kuichling's Population Formula?

Definition: This calculator estimates the population served by a water supply system based on the quantity of water available for fire protection.

Purpose: It helps civil engineers and urban planners determine the population that can be adequately protected by a given water supply capacity.

2. How Does the Calculator Work?

The calculator uses Kuichling's formula:

\[ P = \left(\frac{Q}{3182}\right)^2 \]

Where:

  • \( P \) — Population in thousands
  • \( Q \) — Quantity of water in liters per minute
  • 3182 — Empirical constant derived from fire flow requirements

Explanation: The formula relates fire protection water requirements to population size, accounting for typical fire flow needs.

3. Importance of Population Estimation

Details: Proper population estimation ensures adequate water supply for both domestic use and fire protection in urban planning.

4. Using the Calculator

Tips: Enter the water quantity in L/min and margin percentage (default 5%). The calculator provides both the estimated population and a range considering the margin.

5. Frequently Asked Questions (FAQ)

Q1: Why use Kuichling's formula?
A: It's a well-established empirical formula that correlates water supply capacity with population served for fire protection.

Q2: What's the significance of the 3182 constant?
A: This value represents the empirical relationship between water flow and population derived from historical fire data.

Q3: When would I adjust the margin percentage?
A: Increase the margin for conservative estimates or when dealing with uncertain water supply data.

Q4: How accurate is this formula?
A: It provides reasonable estimates for typical urban areas but may need adjustment for special cases.

Q5: Does this include water for domestic use?
A: No, this calculates only the population that can be protected for fire purposes. Total water supply needs would be higher.

Population by Kuichling's Formula Calculator© - All Rights Reserved 2025