Controlling heat transfer in everyday designs

Key idea: Insulation slows energy transfer by controlling conduction, convection and radiation. A flask's vacuum reduces conduction and convection; silvered surfaces reduce radiation.

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A vacuum flask keeps soup hot for hours, a cool box keeps drinks cold at a picnic, and a solar water heater on a roof collects energy from sunlight. Each design works by controlling the paths energy can take: conduction, convection and radiation. Some features slow a transfer down; others help it along.

Everyday applications: using all three processes

To explain a design, take each feature in turn: name it, name the process it affects, then explain how. “It insulates” alone is not an answer.

Worked example 1

A vacuum flask

Problem

A vacuum flask slows energy transfer between a drink and its surroundings. Follow the possible paths from the hot drink to the cooler room, then explain how each feature reduces transfer.

How a vacuum flask reduces energy transferCross-section of a glass-walled vacuum flask. A stopper closes the neck, reducing conduction and air flow. The vacuum between the inner and outer walls greatly reduces conduction and convection across the gap. Silvered surfaces facing the vacuum reflect infrared radiation and are poor infrared emitters and absorbers. Insulating supports reduce conduction to the base. Energy can still pass through the neck, stopper and supports.Flask cross-sectionDrinkvacuum gapStopper seals the neckPoor conductor; restricts air flow.Vacuum between wallsAlmost no particles in the gap:little conduction or convection.Silvered faces towards the gapReflect infrared; poor infraredemitters and absorbers.Insulating supportsSlow conduction to the base.Glass walls conduct poorly.
How a vacuum flask reduces energy transferCross-section of a glass-walled vacuum flask. A stopper closes the neck, reducing conduction and air flow. The vacuum between the inner and outer walls greatly reduces conduction and convection across the gap. Silvered surfaces facing the vacuum reflect infrared radiation and are poor infrared emitters and absorbers. Insulating supports reduce conduction to the base. Energy can still pass through the neck, stopper and supports.Flask cross-sectionDrinkvacuum gapStopper seals the neckPoor conductor; restricts air flow.Vacuum between wallsAlmost no particles in the gap:little conduction or convection.Silvered faces towards the gapReflect infrared; poor infraredemitters and absorbers.Insulating supportsSlow conduction to the base.Glass walls conduct poorly.
Trace each path from the drink to the room. The vacuum reduces particle-based transfer across the gap; silvered surfaces reduce radiation. The stopper and supports slow other paths. Schematic, not to scale.
Show full solution
  1. Vacuum between the double walls

    Method

    Name the processes it reduces: conduction and convection.

    Reason

    Both need particles, and the vacuum has almost none.

    Working

    Answer

    Little energy crosses the gap by conduction or convection.

  2. Silvered surfaces facing the vacuum

    Method

    Name the process it reduces: radiation.

    Reason

    A shiny surface is a poor emitter and a good reflector.

    Working

    Answer

    The hot inner wall emits little; the outer wall reflects radiation back.

  3. Plastic or cork stopper

    Method

    Name the processes it reduces: conduction and convection.

    Reason

    It is a poor conductor and seals the neck.

    Working

    Answer

    Little energy leaves through the top, and air cannot flow out.

  4. Glass walls and insulating supports

    Method

    Name the process they reduce: conduction.

    Reason

    Glass and the supports are poor conductors.

    Working

    Answer

    Little energy passes along the walls and supports.

  5. Check the limits

    Working

    Answer

    The same features keep a cold drink cold: they reduce energy transfer into the flask as well. No feature stops transfer completely. Some energy still passes through the stopper and along the glass at the neck, so the drink slowly approaches room temperature and eventually reaches thermal equilibrium with the room.

Check your understanding 1

Flask A still has its vacuum, but the silvering on its walls has worn away. Flask B still has its silvering, but air has leaked into the gap between its walls. For each flask, which process now transfers more energy across the gap than in an undamaged flask? Explain.

Show answer

Flask A: radiation. The vacuum still greatly reduces conduction and convection, but without silvering the hot inner wall emits more radiation and the outer wall reflects less of it back. Flask B: conduction and convection. The air in the gap conducts energy, slowly, and can circulate to carry energy across by convection; the silvering still keeps radiation low.

Worked example 2

A cool box for a picnic

Problem

A cool box has a light-coloured outer surface, thick walls of plastic foam, a tight-fitting lid, and ice packs placed on top of the food. Explain each feature.

Show full solution
  1. Light-coloured outer surface

    Method

    Name the transfer it reduces: radiation absorbed from the Sun.

    Reason

    It reflects much of the sunlight.

    Working

    Answer

    Less energy is absorbed from the Sun.

  2. Foam walls

    Method

    Name the processes they reduce: conduction and convection.

    Reason

    Foam is full of trapped air, a very poor conductor, and the small pockets restrict circulation.

    Working

    Answer

    Conduction through the walls is slow, and there is little convection within them.

  3. Tight-fitting lid

    Method

    Name the transfer it reduces: energy carried in by moving air.

    Reason

    It stops warm outside air entering and replacing the colder air inside.

    Working

    Answer

    Little warm air gets in.

  4. Ice packs on top

    Working

    Answer

    The ice cools the air next to it, which becomes denser and sinks over the food. Warmer air rises to the ice to be cooled. This circulation helps cool food away from the ice packs. Gaps between the food let the air move.

Check your understanding 2

A foam cool box is left open. Explain why the walls alone do not prevent its contents warming.

Show answer

Warm outside air can enter through the open top and mix with the colder air inside, carrying energy in. Radiation and other transfers also continue. The foam walls slow transfer through the sides; they do not protect the open top.

Check your understanding 3

A solar water heater on a roof has a panel painted dull black, copper pipes carrying water behind the panel, a glass cover over the front and a thick layer of insulation behind. Name the process each feature helps or reduces, and explain how.

Show answer
  • Dull black absorber panel: absorbs much of the incident sunlight, transferring energy into the panel.
  • Copper pipes: help conduction. Copper is a good conductor, so energy passes quickly from the hot panel to the water.
  • Glass cover: reduces convection between the collector and the outside air. It encloses the air warmed by the panel, limiting its exchange with cooler outside air. Air can still circulate inside the collector.
  • Insulation behind: reduces conduction. It is a poor conductor, so less energy leaks out through the back.

Check your understanding 4

In a solar water heater, a layer of foam has been fitted between the absorber panel and the water pipes. The panel becomes hot, but the water warms slowly. Explain the problem and where the foam would be useful instead.

Show answer

The foam slows conduction along the useful path from the hot panel to the water pipes. The panel and pipes need good thermal contact so absorbed energy reaches the water quickly. Foam behind the collector would instead slow unwanted transfer to the surroundings without interrupting the useful path into the water.

Check your understanding 5

A motorcycle engine has thin metal fins on its outside, with gaps between them. Explain why thin, separated fins help the engine lose energy to the air better than one solid lump of the same mass of metal.

Show answer

Metal conducts energy from the engine into the fins. Spreading the metal into thin fins gives a much larger surface area, so more air touches the hot metal and is heated. The gaps let that warmed, less dense air rise away and cooler air flow in to replace it, carrying energy away by convection. The larger area also emits more radiation.

Common mistakes

  • Writing “it insulates” without naming the process a feature reduces and explaining how.
  • Saying the vacuum in a flask stops all energy transfer. It greatly reduces conduction and convection across the gap; the silvered surfaces reduce radiation.
  • Saying a flask only keeps things hot. It slows energy transfer in both directions, so it also keeps a cold drink cold.
  • Saying insulation stops energy transfer. It only slows it; the contents still reach room temperature in the end.

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