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William Hazens Equation

Reference data and engineering information about william hazens equation for miscellaneous applications.

williamhazensequation

Overview

Engineering reference data for William Hazens Equation in miscellaneous.

Key Formulas

Unit Conversion

y=xky = x \cdot k

Multiply by conversion factor.

Linear Interpolation

y=y1+(xx1)(y2y1)x2x1y = y_1 + \frac{(x - x_1)(y_2 - y_1)}{x_2 - x_1}

Estimate between two known points.

Percentage

p=partwhole×100%p = \frac{\text{part}}{\text{whole}} \times 100\%

Part as fraction of whole.

Variables

SymbolDescriptionUnit
xxInput value
yyOutput value
kkConversion factor

Design Coefficient (c) Values by Pipe Material

4 rows
Typical design coefficient (c) values for common pipe materials.
Pipe Material
c-value Range
Average Value
Design Value
Cast iron & wrought iron80 - 150130100
Copper, glass, or brass120 - 150140140
Cement-lined steel or ironN/A150140
Epoxy & vinyl esterN/A150150

Source: engineeringtoolbox.com

Important Notes & Limitations

The Hazen-Williams equation is an empirical formula with specific constraints:

  • Fluid Validity: The equation provides accurate estimates for fluids with a kinematic viscosity of approximately 1.1 cSt. It is considered acceptable for cold water at 60 °F (15.6 °C), which has a viscosity of 1.13 cSt.
  • Temperature Limitation: The method is only valid for water at ordinary temperatures, typically between 40 °F and 75 °F (4 °C and 14 °C).
  • Error in Hot Water: Using the equation for hot water (e.g., at 130 °F / 54.4 °C with a viscosity of 0.55 cSt) will result in significant error.
  • Alternative Recommendation: For liquids or gases other than cold water, or for conditions outside the specified temperature range, use the Darcy-Weisbach equation.

Interactive Charts

Dynamic, Absolute, and Kinematic Viscosity – Definitions & Conversions

References