APPENDIX 1

 

Fanger Comfort Equations and Conditions[1]

 

 

 


 

 

 

Variables for the P.O. Fanger Equations

M/ADu = metabolic rate; throughout this book, assumed as “seated, quiet” = 18.425 BTU/hr/ft2 (50 kcal/hr/m2)

η = mechanical efficiency (throughout this book, assumed as zero)

Icl = thermal resistance of the clothing in clo (throughout this book, assumed as 0.5)

fcl = function of type of clothing (throughout this book, assumed as 1.1)

tcl = temperature of clothing       ta = air temperature (ºC)           tmrt = mean radiant temperature (ºC)

Text Box: NOTE: Grayscale rows in tables represent options used in this book.pa = pressure of water vapor in ambient air in mmHg

v = relative air velocity in m/s (throughout this book, assumed as zero)

ADu = DuBois body area: Females = 17.32 ft2 (1.61 m2); Males = 20.02 ft2 ( 1.78 m2)

 

 

Metabolic Rate for Different Typical Activities

Activity

Metabolic

Rate

BTU/hr/ft2

Relative Velocity

In Still Air

ft/s

Mechanical

Efficiency

 

 

 

 

Sleeping

12.9

0

0

Seated, quiet

18.4

0

0

Standing, Relaxed

22.1

0

0

Teacher

29.5

0

0

Driving Car (heavy traffic)

36.8

0

0

Driving Car (light traffic)

18.4

0

0

Washing Dishes, Standing

29.5

0 – 0.66

0

Digging Trenches

110.6

1.64

0.2

 

 

Clothing Ensemble Data

Clothing

Ensemble

Icl

(clo)

fcl

Nude

0

1.0

Shorts

0.1

1.0

Long light-weight trousers, open-neck shirt with short sleeves

0.5

1.1

Athletic shorts, woolen socks, cotton work shirt (open neck), and work trousers, shirttail out

0.6

1.1

U.S. Army “Fatigues”, Man’s: Light-weight underwear, cotton shirt and trousers, cushion-sole socks and combat boots

0.7

1.1

Typical Business Suit

1.0

1.15


Professor P. Ole  Fanger: Biographical Sketch*

Dr. P. Ole Fanger is Professor and Director of the Centre for Indoor Environment and Energy at the Technical University of Denmark. His research was initiated and founded at Kansas State University during 1966-67, and he has since worked for more than 30 years in research on thermal comfort, indoor air quality and utilization of energy in buildings.

 

Engineering and Scientific Contributions

Dr. Fanger and his associates established the models to predict thermal comfort, draft risk, radiant asymmetry, indoor air quality and ventilation requirements, used as international and national standards. He introduced the indices for thermal comfort (PMV/PPD) and new sensory units for perceived air quality, analogous to similar units for light and sound. He established the significance of enthalpy for perceived air quality and identified a significant impact of indoor air quality on human productivity and the Sick Building Syndrome. He published more than 300 papers and several books. His doctoral thesis "Thermal Comfort" has been reprinted several times, e.g., by McGraw Hill Book Company, and has sold 13,000 copies. He has given more than 200 keynote and other invited lectures in 40 countries.

 

Awards and International Recognition

  Dr. Fanger, a Fellow of both ASHRAE and CIBSE, has received numerous international awards for his scientific work. In 1992, he received the F. Paul Anderson Medal, the highest award of the American engineering society, ASHRAE, as the first non-American recipient.

   In 1990, he won the Hall-Thermotank Gold Medal, the highest award of the British Institute of Refrigeration for the most significant global contribution to refrigeration and air-conditioning in 1989.

 

  In 1989, he received the Jubilee Award of the Stockholm Building Society and the Napier Shaw Medal of Research from the British Engineering Society CIBSE. In 1984, he was the first recipient of ASHRAE's International Award and in 1982 was the first non-American recipient of ASHRAE's Holladay Distinguished Fellow Award. In 1982 he received the Nordic SCANVAC Award.

 

Memberships in International Organizations

Dr. Fanger is an honorary member of the following societies: the French engineering society AICVF (1990), the Italian engineering society AICARR (1989), the Royal Belgian engineering society ATIC (1988), the Russian engineering society ABOK (1991), the Hungarian Society for Building Science ETE  (1993), the Danish society DANVAK (1995), the British Rumford Club (1996), and the Slovenian engineering society SITHOK (2000).

 

  In 1994, he was awarded membership of the Royal Academy of Engineering in Great Britain, and of the Russian Academy of Architecture and Building Science, and he received the Honorary Medal of the Finnish Engineering Society SULVI. In 1996, he received the Kann Rasmussen Award, the highest engineering prize in Denmark, the Honorary Gold Medal of the Polish engineering society, PZITS, and the Hermann Rietschel Honorary Plaque of the German Heating and Air-Conditioning Industry.

 

  In 1997, he was elected Fellow and received the John E. Worth Silver Medal of the Royal Society of Health in Great Britain. He also received the Hermann Rietschel Honorary Gold Medal which is the highest award of the German Engineering Society VDI-TGA. In 1998, he was elected Honorary Fellow of the British Engineering Society, CIBSE and in 1999 he became, as the first foreigner, an Honorary Member of the China Committee of HVAC.

 

Academic Positions of  Leadership

Since 1984, Dr. Fanger has been President of SCANVAC, the Federation of Scandinavian HVAC associations, comprising nearly 20,000 engineers. In 1978 he was President of the first International INDOOR AIR Conference, and in 1985, he was President of the first World Congress on Heating, Ventilating and Air Con–ditioning, CLIMA 2000, in Copenhagen.

 

  In 1990, he initiated Indoor Air, the first international scientific journal on indoor air quality and climate and has since chaired the Editorial Board. Since 1990, he has been a Board member of the International Society of Indoor Air Quality and Climate and in 1996 he was elected President of the International Academy of Indoor Air Sciences.

 

  In 1998, he received a Danish Government grant to establish a new Engineering Research Center for Indoor Environment and Energy at the Technical University of Denmark. Dr. Fanger became the first Director of the Center, and the total grant for the first five-year period is 55 million DKK. ■



[1] © 1970 by P.O. Fanger. Excerpted by permission from Thermal Comfort – Analysis and Applications in Environmental Engineering, Danish Technical Press, Copenhagen, 1970. Reprinted by McGraw-Hill Book Company, New York, 1972 and by Robert E. Krieger Publishing Company, Florida 1982.

* Current as of October 2000. (Email: fanger@et.dtu.dk)

 


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