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Thread: Curious what this differential equation/solution would be

  1. #1
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    Curious what this differential equation/solution would be

    I've noticed that when a candle burns, the region of melted wax around it is a perfect circle and its radius and hence area is directly proportional to the size of the flame.

    Is there a differential equation already out there for this? Because if not I would be interested in finding it myself.
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  2. #2
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    Re: Curious what this differential equation/solution would be

    EDIT: And its solution.
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  3. #3
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    Re: Curious what this differential equation/solution would be

    this is essentially the heat equation, one of the more studied problems in physics.

    https://en.wikipedia.org/wiki/Heat_equation
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  4. #4
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    Re: Curious what this differential equation/solution would be

    The heat equation; . The source is heavy on PDE'S. I know the basics from Uni', but their methods didn't come close to mine. Too much to get through in so little time (I don't skip chapters in books; I start at page one and do the whole car wash from front-to-back). I've still got a couple of books on ODE'S I want finished before I progress to PDE'S, that's how I work.

    Anyway, I find this thread interesting for myself and I look forward to getting it done. Another thing I've noticed about these candles of mine is that when they burn out there's about 2/3 wax left over. I'd love to minimize their waste and show them how much they could save.

    PDE'S is my next goal, thank you.
    Last edited by topsquark; Oct 19th 2016 at 04:51 PM.
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