As-salamu 'alaykum Of course, the prayer is fard, and if the bleeding does not stop you are in the same category as the one who constantly drops urin. You probably would need to make wudu before every fard prayer prayed under theese circumstances. Allah Hafiz Ibn Amin
so if one cannot stop the bleeding from any part of the body from 12pm-4pm and the time for dhuhr is between 1pm-3pm; then they are considered ma'dhur and they can do wudu' and pray right near the end of dhuhr time?
...if it flows FROM that part of the body which is obligatory to wash in wudu OR GHUSL. [which means internal bleeding does not nullify wuDu] Allah ta'ala knows best.
i was reading bahar e shari'at and it said that blood and pus that flows will nullify the wudu' if it flows on that part of the body which is obligatory to wash in wudu'. so, if blood flows from the chest, for example, will it not nullify wudu'?