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The paradox of the floating candle that continues to burn
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10.1119/1.4726320
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Affiliations:
1 Physics Department, University of Cyprus, P.O. Box 20537, Nicosia 1678, Cyprus
a) Electronic mail: stavrost@ucy.ac.cy
Am. J. Phys. 80, 657 (2012)
/content/aapt/journal/ajp/80/8/10.1119/1.4726320
http://aip.metastore.ingenta.com/content/aapt/journal/ajp/80/8/10.1119/1.4726320
View: Figures

## Figures

Fig. 1.

The well formed around the flame of the candle, as depicted in Ref. 3.

Fig. 2.

Schematic diagram of the well carved around the wick by the flame.

Fig. 3.

The radius of the well formed around the wick of a candle surrounded by air as a function of time. The dots are the experimental points while the curve is the prediction of Eq. (8) using and d = 0.29 cm.

Fig. 4.

The depth of the molten paraffin layer as a function of time for a candle surrounded by air. The dots are the experimental points while the curve is the prediction of Eq. (19) using , d = 0.29 cm, and .

Fig. 5.

The depth of the well as a function of time for a candle surrounded by air. The dots are the experimental points, while the curve is the prediction of Eq. (11) using , d = 0.29 cm, and .

Fig. 6.

The distance from the surface of the pond to the top of the candle as a function of time for a candle surrounded by air. The dots are the experimental points while the curve is the prediction of Eq. (1) using , d= 0.29 cm, and .

Fig. 7.

The radius of the well formed around the wick of a candle immersed in water as a function of time. The dots are the experimental points while the curve is the prediction of Eq. (8) using and d = 0.597 cm.

Fig. 8.

The thickness of the molten paraffin layer as a function of time for a candle surrounded by water. The dots are the experimental points while the curve is the prediction of Eq. (19) using , d = 0.597 cm, and .

Fig. 9.

The depth of the well as a function of time for a candle surrounded by water. The dots are the experimental points while the curve is the prediction of Eq. (11) using , d = 0.597 cm, and .

Fig. 10.

The distance from the surface of the pond to the top of the candle as a function of time for a candle surrounded by water. The dots are the experimental points while the curve is the prediction of Eq. (1) using , d = 0.597 cm, and .

Fig. 11.

Once a portion of the candle rises above water, the flame carves out a wider cylinder of radius above the water level, while it carves out a cylinder of radius below the water level. The top of the candle is at a height x above water while the depth of the well is y.

Fig. 12.

The portion of the candle above the water level as a function of time. The dots are the experimental points while the curve is the piecewise continuous function of Eq. (29) using , , and .

/content/aapt/journal/ajp/80/8/10.1119/1.4726320
2012-07-17
2014-04-19

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