What is the ruling regarding our prayers and fasting, and is ghusl obligatory if a clear liquid, like water, comes out, then turns white after drying, knowing that it comes out frequently?

The discharge that exits a woman's private parts is pure; it does not necessitate ghusl (ritual bath) nor does it affect fasting, but it does nullify wudu' (ablution). If its emission is continuous, the woman should perform wudu' for each prayer after its time has begun, while taking precautions (placing a barrier to reduce the discharge's exit and spread). If it is intermittent and she fears the time will expire, she should also perform wudu' and pray.