When flying from Mumbai to Knoxville, the time of day you decide to fly out makes little to no difference towards the overall price you’ll pay on tickets.
Expected rainfall in Mumbai is more than in Knoxville. You can expect this to be the case over the next 0 days.
You can imagine temperatures to be in the 34 °C range in May. The weather in Knoxville is generally colder than Mumbai's. As flight availability is subject to become more limited as peak season approaches it is ideal to book in a timely manner.