Consider two substances at different temperatures separated by a barrier which is subsequently removed, as in the figure shown.
When the barrier is removed, the fast ("hot'') atoms collide with the slow ("cold'') ones. In such collisions the faster atoms lose some speed and the slower ones gain speed; thus, the fast ones transfer some of their kinetic energy to the slow ones. This transfer of kinetic energy from the hot to the cold side is called a flow of heat through conduction.
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