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Infrared absorption in polymers

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Beer-Lambert Law

Ioe^(-ac)=I, a=absorption coefficient, c=amount

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Solar scattering -> reflection

IR absorption -> high emission

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Black body radiation map for human body

Temperature of sun >> Temperature of human body

Air

Human body gets radiation from the sun and environment and emits radiation to environment.

Temperature of human body > ambient temperature

Energy absorption in human body

Energy emission from human body

Stefan-Boltzman Law

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θ

Human body (surface 1.8m2) was assumed as a rectangular.

Projected area : 0.1cosθ + 0.4sinθ (m2)

Irradiated sunlight : (0.1cosθ +0.4sinθ) (m2) x 1000 (W/m2) = 100cosθ + 400sinθ (W)

0.4m2

0.1m2

Radiation energy from the sun

Simulation of solar energy radiated on human body according to solar position. Human body was assumed as a rectangular which has a 1.8m2 surface area (average value for adult).

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-Plank’s law (black bodt radiation) -> spectral intensity by wavelength (T is fixed), Wien Law (T and wavelength)

-Stefan Boltmann Law -> Energy by T

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1kcal/hr = 1.16W

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Thermal comfort?

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Steady state thermal transfer model

-incoming eneryg = outcoming energy

-To simplyfy the equation, resistance of thermal transfers are utilized in terms of thermal-delaying parameters.

(moisture transfer resistance,

thermal conductive resistance,�covective resistance,�radiative resistance)

R=1/h (h = thermal coefficient)

h : W/m2K

Q=deltaT/h

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Temp. is the perfect indicator?

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D. P. Wyon et al., J. Hyg.. Camb.. 1972, 70, 203.

Skin temps are various.

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J. Hardy, PNAS 1937

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Steadman, R. G. J. Appl. Meteor. 1979, 18, 861.

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ex) Can you predict the temperature of graphite ball (or graphene, CNT ball) under the sunlight?

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Degree C

Solar energy (W/m2)

Ta = 23 degree C

Plank’s law or Stefan Boltzman Law

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ex) Can you predict the temperature of your textile under the sunlight?

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Polymetylpentene: PMP

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