Here is a very nice explanation for laymen on how to use ice to deal with different kinds of sports related pain. The person who curates this website is an excellent writer and the things he writes are invariably evidence based. He also provides references to original studies for people who want to check them out. I highly recommend the site in general for everything you might want to know about sports-related pain (and other pain too) and how to deal with it. When things are simply not known, he lets you know, and he is also very good at pointing out when conventional wisdom is simply not supported or even contradicted by controlled studies. (A big problem in physiotherapy and sports medicine in general).

https://www.painscience.com/articles/icing.php