heat equation

The heat equation describes how heat spreads through a material over time. It’s a mathematical way to show that areas of higher temperature tend to transfer heat to cooler areas, resulting in an even distribution. Think of it like a drop of hot dye in water that gradually disperses; the dye moves from where it’s concentrated to where it’s less, until evenly spread. This process depends on the material’s properties and how quickly heat can flow. The heat equation helps predict temperature changes in everything from metal rods to the earth’s crust.