Imagine you have a glass of water that you want to turn into steam. In order to do that, you have to heat the water up to a very high temperature. But what if you could reuse some of the energy from the steam to help heat up more water and make more steam? That's basically what mechanical vapor recompression (MVR) does.
MVR is a way to save energy when you're trying to make steam (which is just water that's been heated up until it turns into a gas). Normally, you'd have to use a lot of energy to heat up the water to turn it into steam. But with MVR, you use a machine to compress the steam after it's been made. Compressing the steam makes it hotter, and that extra heat can be used to heat up more water so you can make more steam.
Think of it like squeezing a sponge. When you squeeze a sponge, you're pushing the water out of it and making it smaller. When you compress steam, you're squeezing it into a smaller space and making it hotter. And just like how you can use a wet sponge to clean up a spill, you can use the hot steam to do things like power turbines, sterilize equipment, or make products in factories.
One cool thing about MVR is that it's a "closed loop" system, which means that you don't have to keep adding new water. You just keep using the same water over and over again. That saves a lot of water and energy, which is good for the environment and for your wallet.
So in summary, mechanical vapor recompression is a way to save energy when you're making steam. You compress the steam to make it hotter, and then use that extra heat to make more steam without having to add new water. It's like squeezing a sponge to get more water out, but instead you're squeezing steam to get more heat.