Myth Or Fact? - Wind drag on flaming arrows

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Flaming arrows do not accelerate faster than regular arrows due to wind drag and air density, which remain largely unchanged despite the fire. The energy applied during the launch is the same for both types of arrows, and the added heat from the flame does not significantly affect their flight. While flaming arrows may create updrafts upon landing, this effect is more related to the fire on the ground rather than the arrow itself. Overall, the myth suggests a misunderstanding of energy dynamics in flight. Therefore, flaming arrows do not provide any real advantage in terms of acceleration.
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Myth Or Fact? -- Wind drag on flaming arrows

In a stable atmosphere would arrows that have their head on fire accelerate faster than a regular arrow?
 
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Why? A flaming arrow in flight cannot reduce the density of air in its flight path to any meaningful extent without inducing an equal amount of drag. This is a back door 'free energy' hypothesis.
 


This is a back door 'free energy' hypothesis.
Could you please elaborate.
 


My best guess (I've never really seen this myth before): You'd be applying the same amount of energy initially to the arrow (same pull back of the string.) But when it's about to land, it has more energy?
 


You'd be applying the same amount of energy initially to the arrow (same pull back of the string.) But when it's about to land, it has more energy?
I don't think that's the case. You are applying excessive energy in firing the bow.
So, that's the tricky part.
 


I was saying for a flaming arrow vs a nonflaming one. We're applying the same energy in firing.
 


Arrow travels too fast for effect of added heat on unstable atmosphere to catch on. Air has quite a bit of inertia of its own. Once the flaming arrow lands, it can create updraft over it. So maybe if you've set an entire field ablaze with flaming arrows, the arrows launched over it will carry a bit further (they still won't accelerate faster), but it'd be due to fire on ground, not fire on the arrow.
 
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