Try to isolate where the noise is coming from. Turn the engine on, let the car warm up and open the hood. With the transmission in Park or Neutral, and the hand brake applied, step on the gas and see if the noise is coming from the engine bay. You might need a friend to help you isolate the noise. If it's a screeching noise, it could be the fan belt as others have said. If you only hear it while driving, it could be a wheel bearing or something in your transmission. I don't mean to make it sound so serious, but my sister had a similar problem and it turned out to be the transmission carrier bearing.
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