Psychrometric Chart As A Basis For Outdoor Thermal Analysis

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International Journal of Architectural Engineering & Urban PlanningDownloaded from ijaup.iust.ac.ir at 13:06 IRST on Friday October 23rd 2020Psychrometric chart as a basis for outdoor thermal analysisMansoureh Tahbaz*Received: June 2011, Accepted: April 2011AbstractPreparing thermal comfort conditions in outdoor public spaces is one of the considerations of architectural design. If theconstructed area does not support comfortable conditions in outdoor spaces, it will cause microclimatic problems for pedestriansand adjacent buildings. Regarding the different thermal comfort conditions in outdoor spaces in comparison with indoor, severalindices have been produced for outdoor thermal analysis during recent decades. The different methodology and approach to theseindices have provided a diverse set of responses to thermal prediction of outdoor spaces. This diversity has made it difficult forarchitects to decide how to use these indices in outdoor design strategies. To provide a same basis to compare these results, thisarticle will introduce each index with its definition, its basic calculation method, and its thermal condition categories. Followingthese information a psychometric chart that is provided by the author, shows its thermal categories as a graphic method. Usingthis psychometrics for thermal analysis will make it easy to compare different indices and their outdoor thermal predictions.Those architects, who are familiar with Building Bioclimatic Chart of Givoni for analyzing indoor thermal conditions, will findthis method easy and practical for analyzing outdoor thermal condition by choosing an appropriate index.Keywords: Outdoor thermal indices, Thermal zone, Psychrometric chart, Building bioclimatic chart, Microclimate, Heat stress,Cold stress1. IntroductionInside the building -where the architectural design isincapable of achieving human thermal comfort - it is possibleto provide comfort by using HVAC systems; despite the factthatit is based on using fossil energy and leads toenvironmental impact. However, if the outdoor design doesnot support thermal situations, it will cause great problem,because there is not any HVAC solution. Howcan an architectfind an appropriate prediction for outdoor thermal situation, isthe main goal of this article.One of the pioneers who prepared a graph to predictpedestrians' outdoor comfort zone is Penwarden. In 1975, heintroduced his graph (Fig 1) according to his comprehensivefield studies in UK [1]. This graph that had been used forseveral years shows the needed periods for sunshine, shade andwind according to metabolic rate of pedestrian with suitableseasonal clothes. It was, basically, prepared for UK and isappropriate for semi-humid to moderate climates. Therefore, itdoes not give any recommendation for very hot or very cold* Corresponding Author: shtahbaz@yahoo.comPhD. Architect,School of Architecture and urban Planning, ShahidBeheshti University, IranArchitecture department, Sheffield University, UKconditions. Moreover, Penwarden’s graph does not considerhumidity effect on thermal condition for arid zones – whereevaporative cooling plays a great role. That is why it needs tobe modified according to its shortcuts on the one hand and thenew knowledge of outdoor thermal conditions on the otherhand. Going toward an appropriate outdoor thermal index thatwill be used for all climatic situations such as hot/arid,hot/humid, cold/arid, cold/humid and moderate climate is theaim of all the researches that have been done in recent decades.Some main questions that can help target this aim are asfollows:1. What are the most important parameters affecting humanthermal sensation in outdoor spaces?2.What are the main thresholds of different thermalconditions in outdoor spaces?3. What are the most important parameters that will helpmodify the tolerable and dangerous thermal conditions for alonger exposure time?4. How is it possible to help architects use all theseknowledge in making design decisions?1.1. Effective Elements on Outdoor Thermal ConditionAccording to definition of thermal comfort as a "condition ofmind" or "objective sensation" [3], expectation andInternational Journal of Architectural Engineering & Urban Planning, Vol. 21, No. 2, December 2011

Downloaded from ijaup.iust.ac.ir at 13:06 IRST on Friday October 23rd 2020Fig. 1. Penwarden Comfort Graph [1, 2]acceptability of thermal sensation would not be the same inoutdoor and indoor spaces. For example, a sedentary personwith light clothing and light activity (with low metabolic rate)inside the building expect ideal comfort condition, while whenhe/she is wearing a suitable seasonal clothing and is walkingoutdoor (with higher metabolic rate), tolerable weathercondition seems acceptable to him/her. That is why the thermalcomfort investigations for indoor and outdoor is divided in twodifferent branches and introduces different indices.The aim of indoor thermal control is to provide a perfectcomfort condition by the help of passive, hybrid or HVACsystems (design and technology). In outdoor spaces, it isimpossible to provide an ideal thermal comfort. Therefore, theaim is to provide a tolerable thermal condition, increase theexposure time to longer period and decrease thermal risk.Several investigators have stated that human comfort leveldepends on different elements which could be divided into twomain objective and subjective parameters [4, 5 and 6].Objective parameters are environmental and physiologicalparameters. Environmental elements are parameters such asland characteristics (Topography, altitude, latitude, longitudeand surfaces coverage) and Meteorological parameters(Temperature, wind, humidity and solar radiation).physiological parameters are related to body condition such asage, gender and health that are quantified by bodytemperature, skin temperature (forehead, hand), heart rate,sweat production and shivering rate.Subjective parameters are behavioral and psychologicalparameters. Behavioral elements are parameters as Personalparameters (human activity rate and cloths' clo) and culturalparameters(costumes and habits like feeding pattern, rest andwork timetable and so on). Psychological parameters arerelated to adaptation and acclimatization that are defined aspreference, expectation, acceptability and habitation.According to Fanger’s model, [7] that is known as steadystate, only some of the effective elements are calculated forthermal comfort evaluation: Four meteorological parameters96(including air temperature, humidity, wind speed and solarradiation) and two human parameters (including activity rateand clo value of clothing). In this model, comfort condition isdefined by theoreticalcal culations and laboratory tests. It isclaimed that this model is universal, because it eliminates theacclimatization and all its related parameters. It considershuman thermal balance as a steady state condition and humanas a passive receiver.Fountain & Huizenga (1997) reported that, nowadays, toimprove this model, some other human parameters such asforehead and hand temperature, sweating and shivering rateare taken into consideration for evaluating human thermalsensation. [5]1.2. Outdoor Thermal IndicesMany of the research studies on thermal comfort have twoobjectives:a. To find a way of describing the thermal environment whichcorrelates well with human response, thus enabling reliablepredictions to be made, andb. To define the range of conditions found to be pleasant ortolerable by the population concerned.[9]Therefore, in outdoor spaces, three thermal zones could bedefined:1. Comfort zone is the condition referring to when theweather is fine. This kind of weather does not need anychanges to become pleasant.2. Tolerable zone is the condition referring to when theweather is not pleasant, but physiologically is tolerable byhuman body. It is possible to bring it into comfort zone bysome changes in outdoor microclimate (such as providingsunshine or shade, preparing cooling draught or shelter ofwind chill, preparing evaporative cooling of water and greensurfaces) and/or changing human condition (such as clothing,metabolic rate, drinking cold or warm drinks, limiting theoutdoor exposure time). (Fig 2 and 3)M. Tahbaz

Downloaded from ijaup.iust.ac.ir at 13:06 IRST on Friday October 23rd 2020Fig. 2. different solutions to make tolerable warm zone more comfortableFig. 3. different solutions to make tolerable cold zone more comfortable3. Dangerous zone is the condition referring to when thebody will go through the physiological heat or cold stress. Thehumidity may turn to the intolerable dryness or sultrycondition. Presence in outdoor area is limited to a shortexposure time.Longer exposure time will be dangerous andmay cause exhaustion or heat stroke in hot weather andfrostbite or hypothermia in cold weather. (Fig. 4)According to outdoor thermal conditions, laboratoryresearches have proposed several indices for outdoor thermalcondition analysis. The first group of indices is based on thermalstress model. Heat stress indicessuch as heat index (HI),Humidex, Tropical Summer Index (TSI), Discomfort Index(DI) and Wet Bulb GlobeTemperature (WBGT) are provided forhot conditions. Cold stress indices such as Wind chill Index(WCI) and Wind Chill Equivalent Temperature (WCET) areprovided for cold conditions. Some of outdoor indices areprepared base on heat budget model. They are capable toevaluate both cold and hot conditions such as PerceivedTemperature (PT), Temperature Humidity Index (THI), andPhysiological Equivalent Temperature (PET). The latest index isbased on comprehensive heat budget model of humanbiometeorology, called Universal Thermal Climate Index(UTCI). It has been provided by a group of specialists [8]. It issupposed to cover all the shortcomings of the other indices.1.3. Research methodIntroducing outdoor thermal indices and comparing them inthe basis of a drawing method - for all outdoor thermalconditions (comfortable, tolerable and dangerous) - is the aimof this research. In this way all accessible thermal indices thatare prepared for analyzing thermal conditions in open areaswill be considered.At first step, the indices are categorized according to thefundamental model that is thermal stress model and heatbudget model. For each index, the way of preparation and thebasic assumptions, considering climatic elements, calculationmethod and the main thermal zones are introduced.At second step, thermal zones of several outdoor indices areconverted on a psychometric chart. Converting all the indiceson psychometric chart will have several advantages. Firstly: aPsychometric chart covers the important climatic elementsFig. 4. Dangerous zone with short time exposureInternational Journal of Architectural Engineering & Urban Planning, Vol. 21, No. 2, December 201197

Downloaded from ijaup.iust.ac.ir at 13:06 IRST on Friday October 23rd 2020except the wind and the sunshine. Therefore, it is a good basefor comparing all the outdoor indices to find out their similarityand differences in the same conspectus. Secondly: It willbecome similar to Givoni's "Building Bioclimatic Chart" [10,11] that shows thermal conditions inside the building andproposes passive, active or HVAC solutions on psychometricchart (Fig 5). Thirdly: It is easy for architects to showtemperature and humidity data of a place on psychometric chartand find out the climatic needs in a period of a pattern year inboth outdoor (open areas) and indoor (inside buildings)simultaneously. Consequently, in a short time, without beinginvolved with professional studies of "Thermal Comfort", it ispossible to achieve the main climatic design requirements.2. Thermal Stress Modelsmaintain its heat level [12]. There are two types of heat stress:heat exhaustion and heat stroke. The signs and symptoms ofheat exhaustion are headache, nausea, vertigo, weakness,thirst, and giddiness. Fortunately, these conditions respondreadily to prompt treatment. Heat stroke occurs when thebody's system of temperature regulation fails and bodytemperature rises to critical levels. This condition is caused bya combination of highly varying factors, and its occurrence isdifficult to predict. Heat stroke is a medical emergency [13].The factors that may contribute to heat stroke are someenvironmental factors, workload, heavy clothing and physicalcondition,dehydration, infection, weak cardiovascularcondition, age and prescription drugs [4]. The aim of heatstress indices is to evaluate the level of heat stress and giveguidance for a safe presence in outdoor places according to theexposure time.2.1. Heat Stress ModelsSome of outdoor thermal indices are those which evaluateheat stress. Heat stress is the effect of excessive heat on thebody, and the inability of the body to get rid of the excess heatfast enough to maintain an internal temperature balance.Sweating is a sign that the body is functioning normally to2.1.1. Heat Stress IndexA heat stress index is a single value that integrates the effectsof the basic parameters in any human thermal environmentsuch that its value will vary with the thermal strainexperienced by the individual [14]. This non-dimensionalindex was defined as the ratio of the net heat load on the bodyFig. 5. Givoni's building bioclimatic chart for Bushehr (left) and Ghom (right) [2]98M. Tahbaz

Downloaded from ijaup.iust.ac.ir at 13:06 IRST on Friday October 23rd 2020to the maximum evaporative heat loss possible from the skinsurface to the environment. Heat stress index (HSI) wasintroduced by Blending and Hatch in 1956 as an index ofenvironmental thermal strain [15]. It was completed asGeneral heat stress index in recent years and is used inNational Weather Service public forecasts of USA as apparenttemperature. The General Heat Stress Index (GHSI), alsoreferred to as the apparent temperature, is a measure of howthe hot air "feels" to an average person based on thetemperature and the humidity. It does not take into accountdirect sunshine, wind, or the type of clothing a person iswearing. [12]NOAA's National Weather Service Weather Forecast Officehas generated an online calculator for Heat Index and dewpoint. For using this calculator valid entries are: airtemperatures greater than 27 C, dew point temperaturesgreater than 16 C, and relative humidity higher than 40%. [16]The General Heat Stress Index uses four categories related to"apparent temperature" to the probable occurrence of heatstress-related injury (shadow condition) as shown in table 1.Exposure to full sunshine can increase heat index values by upto 8 C. The time of exposure is an important factor in thatsituation. Some organizations have recommended heat stressexposure limits such as "Heat stress card" [17]. The thermal zonesof Heat Stress Index are shown on psychometric chart Fig 6.simplicity of the, means of determining how hot it actually feelsoutside. The humidex is similar to the heat index but is widelyused in Canada (where the heat index is mostly used in USA).An online Canadian Humidex Calculator is available [18].Humidex does not account for solar radiation. Degree ofcomfort and discomfort of Humidex is introduced in table 2.An extremely high humidex is over 40. In suchconditions, all unnecessary activities should be curtailed. Ifthe reading is in the mid to high 30s, then, certain types ofoutdoor exercises should be toned down or modified. Ifworking outdoors is an absolute necessity, drink plenty ofliquids and taking frequent rest breaks is required. In hot,humid conditions, there is a considerable risk of heat strokeand sun stroke [18]. Fig 7 shows Humidex thermal zones onpsychometric chart.2-1-3- Wet Bulb Globe Temperature (WBGT)The wet-bulb globe temperature (WBGT) is by far the mostwidely used heat stress index throughout the world. It wasdeveloped in the US Navy as part of a study on heat relatedinjuries during military training. This index is recommendedby many international organizations for setting criteria forexposing workers to a hot environment and was adopted as anTable. 2. Degree of comfort and discomfort of Humidex [18]2.1.2. HumidexThe humidex, devised by Canadian meteorologists, was firstused in 1965. The purpose was to create an easily understoodmethod of describing how very hot and humid weather feels toan average person. The humidex combines the temperature andhumidity into one number to reflect the perceived temperature.The humidex remains a useful, and very popular due to the ( % 0 1"2 "&" "1&2 & & &4 &, ( ( 0 ( 3 ( ' ( ( - % , ( ) # Table 1. Four categories heat stress related injury [12] !" " !& & ! &. & # # %# '% ( ) * (# * % # , ) * (# * % ) - ) # '% ( ) ) ) %# Fig. 6. Heat index (HI) - thermal zones on psychrometric chart [2]Fig. 7. Humidex - thermal zones on psychrometric chart [2]International Journal of Architectural Engineering & Urban Planning, Vol. 21, No. 2, December 201199

Downloaded from ijaup.iust.ac.ir at 13:06 IRST on Friday October 23rd 2020ISO standard[19]. WBGT is a function of all fourenvironmental factors (air temperature, air movement, radianttemperature and air humidity) affecting human environmentalheat stress [20]. WGBT is developed for traditional workuniform of long sleeved shirt and pants with and without solarload. An adjustment factor is provided for some other clothingensembles [4].The Wet Globe Kit [21] utilizes the WBGT index to measurethe potential heat stress risk. The WBGT Index accounts forthe impact that direct sunlight has on the subject. The WetGlobe Kits include three thermometers to measure threedifferent environmental factors as dry bulb DB), wet bulb(WB) and black globe (BG) temperature. WBGT is calculatedusing the following formula:WBGT Index 0.7 WB 0.2 BG 0.1 DBA conversion table is provided to determine WGBTaccording the temperature and humidity [22]. WGBT thermalzones are introduced in table 3.In hot areas, some US military installations display a flag toindicate the heat category based on the WGBT.if the WBGTreference value of 25 C is not exceeded, it could be concludedthat heat stress was not a risk in that environment [23]. Fig 8DI 0.5Tw 0.5TaWhere: Tw refers to wet temperature and Ta refers to airtemperature (dry bulb temperature). Although DI does notaccount directly for radiation, is easy to use and is in use inIsrael very satisfactorily. In its present form, the DI correlatedto sweat rate, both, at rest and under exercise, reflecting itsphysiological significance. [14]The following criteria shown in table 4 were established tocharacterize the environmental heat stress and correlatethermal sensation.Calculation of DI for different wet and dry bulb temperatureshelp find the important zones of DI on psychometric chart.Fig 9 shows the thermal zones of Discomfort Index (DI) onpsychometric chart.2.1.5. Tropical Summer Index (TSI)The Tropical Summer Index (TSI) is prepared by Sharma &Sharafat (1986) and it is appropriate for hot-dry and warmhumid conditions [27]. It is produced by simultaneousobservations of thermal sensations. the prevailingenvironmental conditions were taken by 18 young male adultsfully acclimatized, over a period of three consecutive summerseasons in India from the months of May to July. Through theTable 3. WGBT thermal zones [23]576 29 9" " 9"1 &2shows the thermal zones of Wet-Bulb Globe Temperature(WBGT) on psychometric chart.2.1.4. Discomfort Index (DI)The discomfort index (DI), is the only index beside theWBGT that is in daily use for more than 4 decades. The DIwas originally proposed by Thom (1959) and was slightlymodified by Sohar et al (1963) as follows: [24, 25] ( 8 % ( % ( Fig. 8. Wet Bulb Globe Temperature (WBGT) - thermal zones onpsychrometric chart [2]Fig. 9. Discomfort Index (DI) - thermal zones onpsychrometric chart [2]Table 4. DI thermal zones [25, 26], ! & &! / /100 ( ( # # ( ( * # # * # ) ( # ( ( * # # # ) ) % ) M. Tahbaz

Downloaded from ijaup.iust.ac.ir at 13:06 IRST on Friday October 23rd 2020observations and multiple regression analysis, an equation hasbeen found expressing the thermal sensation in terms of theenvironmental variables. From the equation, an index ofthermal comfort, called "Tropical Summer Index" has beendeveloped which compares very well with several existingindices."Tropical Summer Index" (TSI) is defined as the air/globetemperature of the still air at 50% RH which produces thesame overall thermal sensation as the environment underinvestigation. This index takes into account all fourenvironmental variables (air temperature, globe temperature,humidity, air velocity) in proportion to their influence on thethermal sensation. Use of the TSI is justified in the prevailinghot-dry and warm-humid conditions in India when radiant fluxis not excessively high and the subjects have sufficient airmotion for any visible perspiration to evaporate off.Determining the thermal comfort conditions in this index isaccording to observations of four effective environmentalvariables and Bradford’s five scales thermal sensation. Asimple and approximate equation for the rapid determinationof TSI values for any combination of environmental variablesis as follows:TSI 1/3 tw 3/4 tg - 2 V ½Where: TSI Tropical Summer Index, tw Wet-bulbTemperature ( C), tg Globe temperature ( C), V½ Squareroot of air velocity (m/s)½.It is seen that the values of TSI almost agree for all practicalpurposes, over the wide range(24-40 C). Ranges and optimumvalues of TSI for the middle three thermal sensations are shownin Fig 10[27]. For the sake of diagrammatic presentation, thelines of equal TSI are drawn on the psychometric chart. For thispresentation the globe temperature is assumed to besynonymous with the dry-bulb temperature. The reduction inTSI for some selected wind speeds is shown as an inset in thediagram. The extended area of comfort condition is shown inthe chart below according to the ranges and optimum values ofTSI for the middle three thermal sensations.2.1.6. Summer Outdoor Comfort ZoneAnother graph prepared for outdoor tropical locations isproduced by Ahmed (2003). The comfort zone inthe shade isderived from the field study conducted in summer conditions inthe city of Dhaka, a city in wet-Tropics. Hence, the lowerthreshold for comfort may vary in the winter season due toseasonal adaptation. The zone is derived for people involved inactivity of 1 Met wearing 0.35-0.5 Clo under shaded conditions.The shaded area outlines the comfort zone under still conditions.The comfort zone indicates the influence of the airflow inincreasing the tolerance to higher relative humidity. [28]A dynamic outdoor comfort model is developed, whichincludes all the environmental factors identified in this work.The model includes, among others, conventionally acceptedfactors, thermodynamic effect of the airflow and issues ofradiation. Fig 11 shows the summer outdoor comfort zone in agraph of temperature and relative humidity. As usual, thermalzones of this graph are shown on psychometric chart. (Fig 12)2.2. Cold Stress ModelsGenerally, coldness is related to the actual lowering of theinternal body temperature by loss of heat from the exposedflesh. Just as the temperature alone is not a reliable indicatorof how hot a person feels the temperature of the air is notFig. 11. Summer outdoor comfort zone for tropical locations [28]Fig. 10. Tropical Summer Index (TSI) - thermal zones on psychrometric chart [27]International Journal of Architectural Engineering & Urban Planning, Vol. 21, No. 2, December 2011101

Downloaded from ijaup.iust.ac.ir at 13:06 IRST on Friday October 23rd 2020Fig. 12. Tropical summer outdoor comfort zone on psychrometricchart [2]always a reliable indicator of how cold a person feels.Increased wind speeds may increase the rate of evaporation ofmoisture from exposed skin areas.This not only will make a person "feel" cooler, but willactually lower the skin temperature, and consequently, thebody temperature.The two primary dangers to people exposed to the cold arefrostbite and hypothermia. Frostbite is freezing of the skin,which damages the skin and the underlying flesh.Hypothermia is lowered internal body temperature due toprolonged exposure to cold air or immersion in cold water.Frostbite may cause only localized tissue death; buthypothermia, if not reversed, will kill people. [12]2.2.1. Wind Chill IndicesWind chill is the apparent temperature felt on exposed skindue to the combination of air temperature and wind speed. Thewind chill temperature (often popularly called the "wind chillfactor") is always lower than the air temperature. When theapparent temperature is higher than the air temperature, theHeat index (HI) is used instead. Nowadays, in daily weathernews, wind chill factor and heat index are pronounced asfeeling temperature. [29, 30]Wind Chill Index (WCI) was introduced by Siple and Passelin1945. In mid 1970s, the Wind Chill Equivalent Temperaturewas introduced as a revision of the wind chill index. New windchill equivalent temperature (WCET) is the latest version of thewind chill that was introduced in 2007 [31, 48].The wind chill equivalent temperature (also called the windchill index, the wind chill factor, or just plain wind chill), is thetemperature required under no-wind conditions that will equalthe cooling effect of the air (the actual air temperature) and thewind on an average size, nude person in the shade. Moisturecontent of the air, visible moisture on the skin or clothing,presence of sunshine, clothing, and physical activity are notconsidered [12]. The Wind Chill Equivalent Temperature wasoriginally the air temperature at which the Wind-chill Indexwould be the same if the wind was calm, which for practicalpurposes was set to be 4 m/h [mile/hour] (1.8 m/s) in 1964.Wind chill equivalent temperatures could only be calculatedfor wind speeds higher than this limit [20].In new resources for the reference still-air condition, thecalculation assumes a minimum air speed of 1.34 m/s, which isthe average walking speed of American pedestrians, young andold, crossing intersections in studies of traffic light timing [31].Environment Canada's World Wide Web Site has provided anonline calculation for the wind chill. Temperature more than5 C and wind speed less than 5 km/h is not accepted by thiscalculator [32]. According to the new Wind Chill EquivalentTemperature (WCET), these conditions can be defined. [31]:- The wind chill index does not happen (calculated) when thetemperature is more than 5 C and the wind speed less than 5km/h (1.4 m/s)- The average person's skin begins to freeze at a wind chill of-25 C, and freezes in minutes at -35 C [51].- In most of southern Canada, wind chill is included in theforecast when it reaches -25 C, the point where frostbitebecomes a risk. A wind chill warning is issued whenconditions become hazardous.The wind chill index does not take into account the effect ofsunshine. Bright sunshine may reduce the effect of wind chill(make it feel warmer) by 6 to 10 units. Bright sunshine canmake you feel as much as ten degrees warmer. Here, onlinecalculation for WCET is done according to different windspeeds. The hazardous WCET (-25 and -35 C) is calculated forimportant limits of wind speed such as 1.4 m/s and 5 m/s (10m/s gust), that are the lowest and the highest acceptable windspeed in urban spaces respectively (Table 5). Fig 13 shows thethermal zones of WCET on the psychrometric chart.3. Heat Budget Model IndicesNone of the old, and still partly popular, indices mentionedtake into account all the mechanisms of the heat exchange.Thus, they are not universally valid and cannot be applied toall climates, all regions, every seasons and every scale. OnlyTable 5. Air temperature calculation for WCET thermal zones [2]5 ' 9 29 29 29" 9 0 9" 102 ( ( % ( (#5 ' 29 29 9" # )(; /"/ # (; & 2 & 99&9 9 9 :9 " 9 1 9 &9 M. Tahbaz

Downloaded from ijaup.iust.ac.ir at 13:06 IRST on Friday October 23rd 2020Fig. 13. Wind Chill Equivalent Temperature (WCET) - thermal zones on psychrometric chart [2]complete heat budget models are sufficiently powerful toassess the thermal environment in thermo physiologicallysignificant way [33].Therefore, some of the thermal stress indices are capable toevaluate cold and hot conditions simultaneously base on theheat budget model.3.1. Perceived Temperature (PT)The perceived temperature, PT, in the dimension C is the airtemperature of a reference environment in which theperception of heat and/or cold would be the same as under theactual conditions[34]. Fig 14 shows the application of theperceived temperature. In the reference environment, the windvelocity is reduced to a slight draught, and the mean radianttemperature is equal to the air temperature (for example, anextensive forest). The water vapor pressure is identicalto the actual environment as far as it is not reduced bycondensation. [35]Perceived heat and cold is computed by means of thecomfort equation by Fanger (1970) which is based on acomplete heat budget model of the human body [36]. Thethermo-physiological assessment is made for a male, the"Klima Michel", aged 35 years, 1.75 m tall, weighing 75 kg.His work performance is 172.5 W which corresponds to ametabolic r

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