Table 4.
ID | Variable | Abbreviation | Formula / Value | Assumption/s |
1 | Air Temperature (undefined unit) |
Ta | Input value | |
2 | Relative Humidity (%) | RH | Input Value | |
3 | Air Velocity (undefined unit) |
WS | Input Value | |
4 | Solar Radiation (undefined unit) |
SR | Input Value | |
5 | Wet Bulb Globe Temperature (undefined unit) [30] |
WBGT | TSI # 171 | |
6 | Vapor Pressure (undefined unit) [168] |
VP | = 6.11 * (10 ^ ((7.5 * Td[°C]) / (237.3 + Td[°C]))) ⇒ Td = TSI # 52 |
|
7 | Barometric Pressure (hPa) | P | = 1016 | |
8 | Mean Radiant Temperature (undefined unit) |
Tmrt | TSI # 97 | |
9 | Absolute Humidity (g/kg) [169], [170] | h | = (6.112 * Exp((17.56 * Ta[°C]) / (Ta[°C] + 243.5)) * RH * 2.1674) / ((273.15 + Ta[°C]) * 1.204 * 10 ^ 3) * 1000 | |
10 | Wet Bulb Temperature [97] (undefined unit) |
Tw | TSI # 172 | |
11 | Radiant heat exchange coefficient (w/m2) | Hr | = 4 * ε * σ * Ar/ADu * ((273.2 + ((Tsk[°C] + Tmrt[°C]) / 2)) ^ 3) | |
12 | Mean Skin Temperature [112] | Tsk | TSI # 98 | |
13 | Friction coefficient (unitless) |
α | = 0.20 | |
14 | Emissivity of skin (unitless) |
ε | = 0.97 | |
15 | Universal radiation constant (w/m2·K4) [171] |
σ | = (5.67 * (10 ^ -8)) | |
16 | Fraction of the body affected by radiation | Ar | = 0.77 | |
17 | Globe Temperature (undefined unit) [97] |
Tg | TSI # 78 | |
18 | Latent heat released by water vaporization (cal/g) [172] | r | = 585 | |
19 | Real mixture ratio (g/kg) [172] | w | = RH * ((6.112 * 10 ^ (7.5 * Ta[°C] / (237.7 + Ta[°C]))) / P) / 100 | |
20 | Specific heat of air at constant pressure (cal/°C/g) [172] | Cp | = 0.24 | |
21 | Specific heat of water (cal/°C/g) [172] | Cw | = 1 | |
22 | Body tissue thermal resistance (kcal/h/°C/m2) | Rb | = 0.08 | |
23 | Convection heat transfer coefficient (w/m2) | Hc | ⇒ if WS < 1 Then = 8.7 * WS[m/s] ^ 0.6 ⇒ if WS >= 1 Then = 3.5 + 5.2 * WS[m/s] |
|
24 | Psychrometric wet bulb (undefined unit) |
Tpw | TSI # 118 | |
25 | Metabolic rate (w/m2) | Met | low intensity = 100; moderate intensity = 165; and high intensity = 230 | |
26 | Body surface area (m2) [173] | ADu | = 0.202 * height[m] ^ 0.725 * weight[kg] ^ 0.425 | |
27 | Clothing insulation (clo) | Icl | Icl = 1.691 - 0.0436 * Ta[°C] ⇒ if Ta[°C] < -30 Then = 3 ⇒ if Ta[°C] > 25 Then = 0.6 |
|
28 | Saturated vapor pressure (undefined unit) |
SVP | = (2.7150305 * Log(Ta[k]) - 2836.5744 * Ta[k] ^ (-2) - 6028.076559 / Ta[k] + 19.54263612 - 0.02737830188 * Ta[k] + 0.000016261698 * Ta[k] ^ 2 + 7.0229056E-10 * Ta[k] ^ 3 - 1.8680009E-13 * Ta[k] ^ 4) * 0.01 | |
29 |
Core temperature (°C) |
Tcr |
= 37.3 |
|
Notes: “undefined unit” indicates that the variable is not characterized by the same unit for all TSIs. [subscript] condition which characterizes the variable (e.g., V10m = air velocity at a height of 10 m). [superscript] unit of the variable: | ||||
[°C] | degrees Celsius | |||
[°F] | degrees Fahrenheit | |||
[hPa] | hectopascal | |||
[kPa] | kilopascal | |||
[mmHg] | millimeter of mercury | |||
[ft/min] | feet per minute | |||
[m/s] | meters per second | |||
[cm/s] | Centimeters per second | |||
[Btu/hr] | British thermal units per hour | |||
[mb] | millibar | |||
[mph] | miles per hour | |||
[cal/cm2/min] | calories per square centimeter per minute | |||
[Torr] | unit of pressure, Torr | |||
[kw/m2] | kilowatts per square meter | |||
[w/m2] | watts per square meter | |||
[K] | Kelvin | |||
[km/h] | kilometers per hour |