I have seen artwork depicting battles from the Late Medieval/Early Modern period where early grenades were used, but I remember reading that the British Grenadiers of the American Revolution had retained the name but had phased out the use of grenades. However, a few generations later, they had become common in infantry combat once again, and are still with us today.

Were grenades used by either side of the Revolutionary War? If not, why had lost their tactical value?

This question was inspired by this image of a grenade launcher from the previous century, posted in Artefact Porn!