What is the ruling on the Dhuhr and Asr prayers and circumambulation (tawaf) and Hajj for a person afflicted with continuous discharge of wind (sils al-reeh), who performed the two prayers and the circumambulation with a single ablution, knowing that the circumambulation began after Dhuhr and continued until Asr?

The person with constant ritual impurity must perform ablution (wudu') for each prayer after its time has begun. They can pray and perform circumambulation (tawaf (definition)) with that same ablution as long as the prayer time has not expired. If they perform ablution for tawaf after the time has begun, they can pray the obligatory prayer and as many supererogatory prayers as they wish with it. It was mentioned that it was obligatory to repeat ablution for the remaining circuits of tawaf due to the expiration of the time, because ablution is invalidated by the expiration of the time, which is the view of the majority of scholars. The condition of ritual purity for tawaf is the view of the majority of scholars. If a person performs tawaf while lacking purity, their tawaf is invalid and not counted. The Hanafis hold that purity is obligatory for tawaf, so if one performs tawaf without being pure, their tawaf is valid but they must repeat it in Mecca, or offer a sacrifice (fidyah (definition)) if they have returned to their country. Therefore, your Asr prayer was invalid according to the majority and valid according to the Malikis, and it is safer to repeat it. As for the tawaf, it is valid according to the Hanafis and Malikis and one view among the Hanbalis, but invalid according to the Shafi'is and the well-known view of the Hanbalis. Whoever says it is valid, other than the Malikis, obligates a sacrifice. If you can return to Mecca and repeat your tawaf, that would be more cautious. Otherwise, if you content yourself with your first tawaf and slaughter a sacrifice to be distributed among the people of the Sacred Precinct, then it is hoped that there will be no harm upon you in that.