Physic Labs

Thermal physics

Conduction, convection, thermal radiation

Compare the three heat-transfer mechanisms — conduction, convection, radiation — and verify Fourier's law Q˙=kAΔT/L\dot Q=kA\Delta T/L for a sample bar. Vary the temperature difference ΔT and conductivity k to measure the transferred power.

Middle school

Equipment

  • Canvas model of the three mechanisms (conduction through a bar, convection loop, radiation rays)
  • Temperature-difference slider ΔT (5–80 K)
  • Thermal-conductivity slider k (10–400 W/m·K)
  • Sample bar A = 0.01 m², L = 0.50 m; readout P=kAΔT/LP=kA\Delta T/L

Procedure

  1. Distinguish the three mechanisms

    Watch the canvas: conduction carries energy through stationary matter along the bar, convection moves heat with the flowing fluid, and radiation travels as electromagnetic waves needing no medium. Drag to rotate and compare how heat travels in each.

  2. Measure conducted power

    Keep k = 200 W/m·K (a typical metal) and set ΔT = 10 K: the readout gives P=kAΔT/L=200×0,01×10/0,5=40P=kA\Delta T/L=200\times0{,}01\times10/0{,}5=40 W. Double ΔT and check that P doubles — the linear Fourier relation.

  3. Compare conductors and insulators

    Lower k from 400 to 10 W/m·K (metal → ceramic/foam) at fixed ΔT: the conducted power falls proportionally — insulators are low-k materials. Raise ΔT to a high value and predict P before reading the result.

Simulation

Experiment history

Joseph Fourier developed the theory of heat conduction in Théorie analytique de la chaleur (1822), stating that heat flux is proportional to the temperature gradient — the mathematics he invented to solve it also produced the Fourier series. Convection came from watching hot fluids rise (Benjamin Thompson, Count Rumford, argued heat moves in fluids through their own motion), while thermal radiation was discovered by William Herschel in 1800 when he measured 'heat rays' beyond the red end of the solar spectrum — the first recorded infrared.

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