AdvancedTopic 85 of 105Thermodynamics & Fluids

Thermal resistance

Analogous to electrical resistance; R=L/kA for a wall.

In depth

Thermal resistances combine like electrical resistances: R_cond=L/kA, R_conv=1/hA, R_rad=1/h_rA. Series walls add; parallel paths combine reciprocally. The overall heat transfer coefficient U=1/(ΣR·A). Used for building walls, pipes and heat exchangers.

Key points

  • Contact resistance
  • Insulation critical radius
  • Temperature drops proportional to R
Example

A wall with R-value 3 m²K/W has U≈0.33 W/m²K.

Why it matters

Thermal resistance lets you treat heat flow like electrical current, which makes it easy to combine walls, layers and contact resistances.

Where this is used

  • Adding the resistances of a multi-layer wall to find the total heat loss.
  • Estimating the temperature of a chip from its thermal resistance to ambient.
  • Finding how much a thermal pad helps to cool a power device.

Frequently asked questions

What is Thermal resistance?

Analogous to electrical resistance; R=L/kA for a wall.

Why is it important to understand thermal resistance?

Thermal resistance lets you treat heat flow like electrical current, which makes it easy to combine walls, layers and contact resistances.

What is the thermal resistance of a wall?

The wall thickness divided by the thermal conductivity and the area, which gives the resistance to heat flow through the wall.

How do layers combine?

Resistances in series add, and parallel heat paths combine like parallel electrical resistors.

How is Thermal resistance used in practice?

Typical applications include adding the resistances of a multi-layer wall to find the total heat loss, estimating the temperature of a chip from its thermal resistance to ambient and finding how much a thermal pad helps to cool a power device.

What should I learn before Thermal resistance?

Study "Conduction" first (topic 84 of 105 in Thermodynamics & Fluids). It covers the groundwork this topic builds on.

What are the key points of Thermal resistance?

Contact resistance. Insulation critical radius. Temperature drops proportional to R.

Can you give an example of Thermal resistance?

A wall with R-value 3 m²K/W has U≈0.33 W/m²K.

What comes after Thermal resistance?

The next topic is "Convection", which builds directly on this one.

How difficult is Thermal resistance?

It is classed as Advanced in Thermodynamics & Fluids (topic 85 of 105). It is an advanced topic. It assumes you are comfortable with the intermediate topics in Thermodynamics & Fluids.

Learning path

Want to practise? Open the interactive course for quick checks, quizzes, simulations and progress tracking.

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