بسم الله الرحمن الرحيم
When you set forth for hajj, start supplicating Allah humbly in this way: O Allah remove this problem of repeatedly passing wind so that I could do tawaf satisfactorily and offer five times of salah. Also supplicate the same when you reach there while drinking Zam Zam water. In-shaAllah, this problem shall be removed. However, if this problem is not removed then make wudhu when the time of salah starts and you may offer salah, tawaf and recite the holy Quran within the particular salah time, though the wind keeps on passing. You may offer salah, do tawaf and recite the holy Quran with this one wudhu.
Allah knows Best!
Darul Uloom Deoband
This answer was collected from the official ifta website of Darul Uloom Deoband in India.