A comparison of the dynamic thermal sensation between the modified Stolwijk model and the Fiala thermal physiology and comfort (FPC) model

Figures & data

Figure 1. Schematic representation of the passive part of the Stolwijk model (Stolwijk and Hardy 1977).

Figure 2. Schematic representation of the active part of the Stolwijk model (Stolwijk and Hardy 1977).

Table

DTS = 3*tanh(fsk + ø + ψ)

[-]

Table

fsk = 1.08*ΔTsk,m	[-];	for ΔTsk,m > 0
fsk = 0.30*ΔTsk,m	[-];	for ΔTsk,m < 0
ΔTsk,m = (Tmean skin – 34.4)	[K]
ø = 7.94*exp(−0.902/(ΔThy+0.4) + 7.612/(ΔTsk,m–4))	[-];	ø = 0 when ΔThy + 0.4 ≤ 0 or ΔTsk,m–4 ≥ 0
ΔThy = (Thypothalamic – 37.0)	[K]
ψ = (τ- + τ+) / (1 + ø)	[-]
τ- = 0.11*dTsk,m/dt	[-];	for dTsk,m/dt < 0
τ+ = 1.91*(dTsk,m/dt)max.exp(−0.681*Δt)	[-];	for dTsk,m/dt > 0
Δt = t–t0	[h]
t0 = time of occurrence of highest rate dTsk,m/dt	[h].

Figure 3. Neutral: 29°C/RH = 40%, Cool:17.5°C/RH = 31%, Neutral: 29°C/RH41%.

Figure 4. Neutral: 28.1°C/RH = 43%, Warm: 47.8°C/RH = 27%, Neutral: 28.3°C/RH = 44%.

Figure 5. Slightly Cool: 16.6°C/RH = 54.3%, Neutral:21.9°C/RH = 49.1%, Slightly Cool: 16.6°/RH = 54.3%.

Figure 6. Slightly Cool: 15.0°C/RH = 58.2%, Neutral: 21.5°C/RH = 51.0%, Slightly Cool: 15.0°C/RH = 58.2%.

Figure 7. Cool: 12.1°C/RH = 57.4%, Neutral:22.0°C/RH = 43.9%, Cool: 12.1°C/RH = 57.4%.

Figure 8. Slightly Warm: 28.0°C/RH = 61.0, Neutral: 25.4°C/RH = 60.9%, Slightly Warm: 28.0°C/RH = 61.2%.

Figure 9. Slightly Warm: 29.9°C/RH = 59.5, Neutral: 25.4°C/RH = 58.1%, Slightly Warm: 29.9°C/RH = 59.4%.

Figure 10. Warm: 31,9 °C/RH = 59.1, Neutral: 25.4°C/RH = 58.1%, Warm: 31,9°C/RH = 59.0%.

Table 1. Average deviation calculated DTS value compared to the experimental results.

Figure	FPC model	Stolwijk model
3	0,36	0,30
4	1,74	1,71
5	0,23	0,28
6	0,22	0,22
7	0,31	0,23
8	0,30	0,20
9	0,38	0,29
10	0,60	0,32

Stolwijk, J., and J. Hardy. 1977. Control of Body Temperature, in Handbook of Physiology. Bethesda, MD: American Physiological Society, pp. 45–68.

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