Heat Transfer

Name: Heat Transfer
Author: StemPy Lab

A steel spoon in hot tea becomes hot, a room heater warms the air above it, and the Sun warms the Earth across empty space. In this course we study conduction with the thermal conductivity, convection, and radiation with the laws of Stefan and Wien, and Newton's law of cooling, which tells us how fast a hot body cools.

3 lessons, about 1 h 15 min3 simulations12 problems6 practice questionsPython in every lesson

Created by StemPy Lab

Course outline (3 lessons)

Lesson 1about 25 min
Conduction
In conduction, heat passes through a material from particle to particle, without the material moving. Through a slab in steady state, $H = \dfrac{kA\,\Delta T}{L}$ , where $k$ is the thermal conductivity: copper $385\ \text{W m}^{-1}\text{K}^{-1}$ , glass $0.8\ \text{W m}^{-1}\text{K}^{-1}$ , wool $0.04\ \text{W m}^{-1}\text{K}^{-1}$ . A slab's thermal resistance is $\dfrac{L}{kA}$ , and layers add their resistances.
1 simulation2 practice questions1 Python program4 problems1 Python lab1 question set
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Lesson 2about 25 min
Convection and radiation
In convection, a warmed fluid rises and carries heat with it, as in sea breezes and boiling pans. Radiation is heat carried by electromagnetic waves, even through a vacuum. A body at $T$ radiates $P = e\sigma AT^4$ (Stefan's law), most strongly at $\lambda_m = \dfrac{b}{T}$ (Wien's law); good absorbers are good emitters.
1 simulation2 practice questions1 Python program4 problems1 Python lab
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Lesson 3about 25 min
Newton's law of cooling
For a small difference of temperature, a body cools at a rate in proportion to its excess over its surroundings: $\dfrac{dT}{dt} = -k(T - T_0)$ . The excess then falls exponentially, $T = T_0 + (T_s - T_0)e^{-kt}$ , quickly at first and slowly later. Over a short interval, the average excess gives a quick estimate.
1 simulation2 practice questions1 Python program4 problems1 Python lab1 note
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Conduction, Radiation and Cooling: Practice Paper

20 questions · 40 min

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Heat Transfer

Course outline (3 lessons)

Conduction

Convection and radiation

Newton's law of cooling

Test Your Learning

Your teacher

Discussion (0)