Wind Chill Effect

Overview

Engineering reference data for Wind Chill Effect in miscellaneous.

Key Formulas

Unit Conversion

$y = x \cdot k$

Multiply by conversion factor.

Linear Interpolation

$y = y_1 + \frac{(x - x_1)(y_2 - y_1)}{x_2 - x_1}$

Estimate between two known points.

Percentage

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

Part as fraction of whole.

Variables

Symbol	Description	Unit
$x$	Input value	—
$y$	Output value	—
$k$	Conversion factor	—

Wind Chill Index Formulas

The wind chill effect can be calculated using two standard formulas:

For Celsius and kilometers per hour: $t_{wC} = 13.12 + 0.6215 t_a - 11.37 v^{0.16} + 0.3965 t_a v^{0.16}$

For Fahrenheit and miles per hour: $t_{wF} = 35.74 + 0.6215 t_a - 35.75 v^{0.16} + 0.4275 t_a v^{0.16}$

Where:

• $t_{wC}$ = effective "wind" temperature (°C)
• $t_{wF}$ = effective temperature (°F)
• $t_a$ = air temperature (°C or °F respectively)
• $v$ = wind speed (km/h or mph respectively)

Wind Chill Effect Data

The following table illustrates the convective heat loss due to wind for air speeds up to 10 m/s (36 km/h, 2000 ft/min, 22 mph).

Wind Chill Index Tables

The effective "chilled" air temperature can be determined from these lookup tables for both SI and Imperial units.

SI Units (°C and km/h)

Imperial Units (°F and mph)

Interactive Charts

References

• Original Source