This term is hemorrhage. Although, this is usually associated with massive bleeding.
Sometimes a clinician will chart "no active bleeding" when a laceration has some bloody discharge around it or on the bandage, but if blood is not flowing.
Lochia is the medical term meaning bleeding after childbirth.
Bleeding is the medical term for bleeding. In days gone by, the term exsanguinating was used.
The medical term for bleeding within the muscle tissue is intramuscular bleeding.
exsanguinate
Hemorrhage is a medical term meaning excessive bleeding.
Menometrorrhagia is the medical term meaning bleeding that's heavier and more frequent than normal.
The medical term for excessive bleeding is hemorrhage.
laceration?
menorrhagia
antihemorrhagic
Bleeding from the lungs is called pneumorrhagia.
Hemophiliac is a medical term that translates into prone to excessive bleeding, but there are many kinds of bleeding disorders that aren't hemophilia. Bleeding disorders in general are termed coagulopathies.