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I'm doing experiments to find out when a candle blows out when a round obstacle, like a bottle, is placed in front of it. Is there any mathematical model to determine how the radius of the obstacle will determine if there's Coanda effect on blowing air at the obstacle, especially if the radius is so big that the round obstacle almost becomes a plane surface at one end (and hence no Coanda effect). How do I find that threshold value or any general relation between radius and distance at which the candle can be blown out with obstacle in between?

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