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5

Warm air expands considerably

when it’s heated, a fact captured

mathematically in an equation

known as the ideal gas law. The law

informs us that the volume of air in

an oven will increase by about half

when it’s heated from room

temperature to 177 °C / 350 °F. In

a typical domestic oven that holds

140 liters / 5 ft³ of air, some 70 liters

/ 2.5 ft³ will go out the vent.

THE TECHNOLOGY OF

Cooking In Silico

If you hold your hand over a gas burner, you can

feel the warmth without touching the flame. The

flame heats nearby molecules of air, which then

rise from the flame, carrying some of its heat

toward your hand.

The air near the flame rises because it is hotter

than surrounding air. Nearly all solids expand

when they warm and in doing so become a little

less dense. This effect is more pronounced for

liquids and is quite dramatic for air and other

gases. As fluids heat and expand, they become

more buoyant; as they cool, their densities increase

so they tend to sink.

In the kitchen, convection almost always leads

to turbulence: the roiling boil, the swirls of steam

and fog, the billowing of oil in a deep fryer. The

flow is so turbulent in large part because cookers

usually apply heat unevenly, such as to the bottom

of a pot or deep fryer. The heated fluid cools as it

moves away from the source so its density increases,

its buoyancy drops, and it falls, only to

Because the mathematics of heat flow is so well understood,

computer programs such as COMSOL (below left)

and Mathematica (below right) can model it with terrific

accuracy—to within a fraction of a second or a fraction of

a degree. Food presents special challenges to heat-flow

models, however, because it’s not usually made of uniformly

conducting materials but instead is a sloppy mixture of fats,

be heated and rise again. In natural convection,

in which heat alone is the driving force, the fluid

thus tends to circulate in a pattern of loops called

convection cells.

In the world at large, natural convection kicks

up winds, drives ocean currents, and even slowly

moves the earth’s crustal plates, which rise from

the planet’s molten center, creep across the

sur face, then cool and sink toward the core again.

Even though the warmed walls of an oven apply

heat from every side, the heating is not perfectly

even, so natural convection happens inside an

oven, too. Large baking platters or pieces of food

disrupt the flow of air, however, which reduces

efficiency, creates hot spots, and makes cooking

less predictable.

Forced convection ovens (often simply called

convection ovens) attempt to overcome the

drawbacks of natural convection by using fans to

blow the air around the oven interior. Although

the fanned air can accelerate drying and thereby

sugars, and proteins, solids and liquids, and muscle and bone.

Nevertheless, simple models can give results that are

accurate enough to be useful. By augmenting off-the-shelf

programs with custom software, we’ve been able to do virtual

cooking experiments in silico that would be physically difficult

or would simply take too much time in the kitchen. The results

are highly informative—if not edible.

speed cooking for certain kinds of foods, the

results vary widely depending on the size, shape,

and water content of the food.

Convection is also at work when foods are

cooked in water, wine, broth, or other liquids.

Convection in liquids moves heat much more

efficiently than convection in air does because

the density of water or other cooking liquids is

a thousand times higher than that of air. Far

higher density translates into far more collisions

between hot molecules and food. That’s why you

can reach your hand into an oven without burning

it, but if you stick your hand in a pot of boiling

water you’ll get scaldedeven though the oven

may be more than twice as hot as the water.

Efficient as natural convection in liquid is,

forced convectionalso known as stirringis

still worthwhile. Stirring helps disrupt a thin

sheath of fluid called the boundary layer, that

surrounds the food and insulates it somewhat

from the heat. A boundary layer forms when

friction slows the movement of fluid past the

rough surface of the food.

The boundary layer can be the most important

factor that determines how quickly your food

bakes or boils at a given temperature. Add a circulating

pump to your water bath, or stir a simmering

pot of food, and you can disturb the boundary

layer and greatly hasten cooking.

To quantify just how quickly convection moves

heat from source to food, we need a measure that

takes into account the density, viscosity, and flow

velocity of the fluids involvedmuch as thermal

diffusivity incorporates the analogous information

for heat conduction in solids. The heat transfer

coefficient is just such a quantity; it conveys in a

single number just how quickly heat passes from

one medium or system to another. Convection

ovens cook some foods faster because they have

a higher heat transfer coefficient than conventional

ovens do. In general, forced convection increases

the heat transfer coefficient by tenfold or more.

For more on the actual effects of forced

convection during baking, see Convection

Baking, page 2·108.

Heat rises from a hot griddle through

convection. As the hot air expands, it

becomes more buoyant, then lifts and

churns the surrounding air. The resulting

turbulence is captured in this image by

using a photographic technique that

reveals variations in the density of fluids.

The same scintillation is visible to the

naked eye in the air above a hot, paved

road on a sunny summer day.

The wind chill factor takes into

account the effect of circulating air

on the temperature we perceive.

Wind disturbs the boundary layers

enveloping our bodies, creating a

cooling effect.

It Matters How You Heat

Some cooking methods move heat into the food faster than others.

The heat transfer coefficient is a measure of the speed of heat flow

from the cooking medium to the surface of the food.

Heating method

natural convection from air 20

forced convection from air 200

Heat transfer

coefficient

(W/m² · K)

water bath 100–200

condensing steam 200–20,000

deep-frying 300–600

You can put your arm in a 260 °C / 500 °F

oven for a moment or two without getting

hurt. But you can’t hold your arm over

a pot of boiling water for even a second

(left). The reason is the difference in the

heat transfer coefficient, a measure of how

readily thermal energy will pass between

a fluid (the air in the oven or the steam

above the pot) and a solid (your arm). In

an oven, it’s 20 W/m2 · K; in boiling water,

it’s 100–1,000 times higher because of

the terrific amount of heat released when

water changes from vapor to liquid

(see table at left).

282 VOLUME 1 · HISTORY AND FUNDAMENTALS

HEAT AND E NERGY 283

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