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Radiation

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Black body radiation

-Black body means it has emissivity=1 (1=e+R+T)

-Emissivity = Absorption

Assume b=3000um, ex) 6000K->0.5um, 300K->10um

Stefan-Boltzmann law (Energy)

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Radiative energy = f(emissivity, T, Ta, surface area)

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Polymer’s emissivity

Beer’s law

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Science 2016

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Diffuse scattering

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Relative method to measure optics

-by comparing the optics with high reflection materials (BaSO4/UV-NIS-NIR, Au/IR)

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900W/m2

1000W/m2

1366W/m2

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Vis

390nm-700nm

UV

(-390nm)

46W/m2 5%

VIS

(390nm-700nm)

435W/m2 44%

IR

(700nm-2500nm)

510W/m2 51%

Sum

991W/m2

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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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1kcal/hr = 1.16W

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Thermal comfort?

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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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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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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

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Do we need heat capacity to estimate the thermal balance?

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Degree C

Solar energy (W/m2)

Can increase more temperature by sunlight absorption?

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Degree C

Solar energy (W/m2)

e=0.01

e=0.5

e=1

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Concentrated solar power

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Sunlight (photon) -> electron -> energy

Efficiency ~20%

Sunlight -> heat -> turbin

Efficiency ~ 40%

How we can achieve wavelength-selective emissivity?

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From wikipedia

Versatility of infrared properties of Mxene, Han et al, Materials Today, 64, p31-39, 2023

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Convective thermal coefficient

 

Moisture thermal coefficient

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Latent thermal transfer

Q=delta(mositure)/mositure resistance

 

Absolute humidity

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Apparent temperature

Humiture

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Do you think that high thermal conductivity leads to cooling?

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By steady state model, it doesn’t matter for thermal conductivity of TIM.

IR image VS high thermal conductivity

IR image is measuring radiative thermal mapping supposing the surface has the high emissivity.

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High thermal conductivity can cope with thermal shock.

Thermal conductivity is measured with a thermal wave source.

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-Emissivity of composite (polymer + low emissivity medium)

-Emissivity control of polymer materials