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5

The term “graybody” was coined to

describe the many objects that

excel at absorbing and emitting

light—ceramics and the fire bricks

in pizza ovens among them—but

aren’t ideal blackbody emitters.

temperatures, the object emits long-wavelength

light that carries little energy; heat transfer is such

a small effect that we can effectively ignore it. But

when the object’s temperature (in Kelvin) doubles,

its radiant energy goes up 16 times; when the

temperature triples, its capacity to transfer heat

increases by a factor of 81!

This property of radiant heat shows up in

ordinary cooking ovens. At 200 °C / 392 °F /

473 K or below, most of the heat is transferred by

convection from the cooker’s element. But increase

the temperature to 400 °C / 750 °F / 673 K,

and radiant energy becomes a significant fraction

of the heat transfer that’s occurring.

At 800 °C / 1,470 °F / 1,073 K, the tables are

turned. In such blistering heat, the contribution

from convection is negligible; radiationhaving

increased some 26-fold from the starting point

overwhelms all other means of heat transfer.

That’s why blazing-hot, wood-fired ovens used

to bake pizza or bread really are different from

their conventional domestic cousins. They cook

primarily by radiation, not convection.

Radiation differs from conduction and convection

in yet another way: how it decreases over

distance. As a form of light, heat rays obey the

inverse-square law of light, meaning that intensity

falls off as the square of the distance from a point

source (see illustration below). A light bulb looks

only about a quarter as bright from two meters

away as it does from one meter; the distance

doubled so the brightness fell by a factor of four

(22). Back up to a distance of three meters, and

now the brightness is down to a ninth of its

intensity at one meter.

Most people grasp this property of radiative

heat transfer intuitively but tend to overestimate

its importance in the kitchen. The heating elements

used in grills or broilers aren’t point

sources like light bulbs; instead they tend to be

linear bars (like an oven element) or flat planes

(such as a bed of coals) spread over a relatively

wide area. For more on how radiative heat transfer

from these more complicated heat sources

works, see Grilling, page 2·7; Broiling, page 2·18;

and Roasting, page 2·28.

THE PHYSICS OF

What Makes a Hot Wok Glow?

You may have noticed that your normally deep-black cookware

glows orange or red when heated to extreme temperatures.

The black coils of an electric range or oven also turn

bright orange when cranked up to the high setting. The

source of this color change, thermal radiation, is also the

source of most of the light around us, including illumination

from the sun and from incandescent light bulbs.

In truth, everything has a thermal glow. But most objects

are not hot enough to glow in the visible light range. People

emit infrared light, which has a longer wavelength than

visible light. Food glows in the infrared spectrum, too. Infrared

thermometers work by analyzing the light to determine

the temperature of a person or a piece of food.

As objects are heated, their glow moves from infrared into

shorter and shorter wavelengths. Red light has the longest

wavelength of visible light, so deep red is the first glow we can

see as an object gets hotter. As a pan or electric coil heats

further, the glow turns orange then yellow, white, and finally

blue—hence the terms “red hot” and “white hot.” Eventually

an object can become so hot that it emits wavelengths of light

too short to be seen by the human eye: ultraviolet radiation.

Not all objects emit light equally well. A perfectly black

object absorbs nearly all visible light and reradiates the most

light, too. In practice, there’s no such thing as a pure blackbody,

but some materials, like soot and other forms of carbon,

get pretty close.

A perfect blackbody will start to glow red at 1,000 K, or

near 728 °C / 1,340 °F. At any given temperature, an object

emits a range of wavelengths (see chart on page 285). The

color we perceive is the wavelength that has the peak intensity,

which varies with the temperature of the object.

Josef Stefan, a 19th-century Austrian physicist, discovered

that the energy emitted by an object as thermal radiation is

directly proportional to its temperature (in Kelvin) raised to

the fourth power. So the hotter an object, the more energy it

radiates as light. Stefan was able to use this principle, along

with previous work that calculated the sun’s radiant energy, to

correctly estimate that the temperature of the surface of the

sun is about 5,800 K, or 5,527 °C / 9,980 °F, which gives it a

white-hot color.

A sphere with a radius r has

a surface area of 4πr2

Central source

of intensity S

If the intensity at the

surface of the sphere is X…

X

S

4πr2

= X

The inverse square law states that the intensity of radiation is

inversely proportional to the square of the distance from its source.

That means radiant energy falls off steeply as you move away from

its source. The law applies only to point sources of radiation; light

from heating sources commonly found in the kitchen, such as bars

or coils, behaves somewhat differently.

…then the intensity at a

distance of 2r is ¼X…

S

=

4π(2r)²

X

4

…at a distance of 3r,

it is ¹⁄9X, and so on

X

9

1r

2r

3r

286 VOLUME 1 · HISTORY AND FUNDAMENTALS

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