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As in the Hadley cell experiment, a temperature gradient was observed to have developed much more strongly at the bottom of the tank, due to the denser, colder water sinking downwards.
The 988.7 grams of ice were not replenished over the course of the experiment and took thirty minutes to fully melt. Assuming that the power outputted by the ice was equal to the heat transported by the eddies, the system could be described by the following equation:
where L is the latent heat of fusion, m is the starting mass of the ice, t is the time it took to melt, ρ is the density of water, cp is heat capacity, and v’ and T’ are the variance in velocity and temperature, respectively. While Unfortunately, we had difficulties calculating v', so we used .6 mm/s, the value cited on the PAOC website in our calculations (http://paoc.mit.edu.ezproxyberklee.flo.org/labguide/circ_exp_fast.html). While inaccuracies in the measurements and the fact that we could not place thermometers over the entire tank led to some imprecision, we would still expect the right and left sides of the equation to agree within approximately an order of magnitude. Calculations can be found below:
RHS
LHS
Both The two sides of the equation are two orders of magnitude offoff by a factor of three, which is a somewhat surprising result. This discrepancy is for close enough agreement to confirm that the relation holds. The discrepancy may be due to a couple of reasonsfactors. We had some delays starting the experiment,which meant that the ice started to melt and the starting mass may have been much less than 988.7 grams. Additionally, the particle tracks show a wobbling effect, most likely due to the table being uneven. In order to determine an average velocity value, we may have overcompensated for this effect, and linearized the curve enough to drastically reduce the variancevelocity variance value was taken from a different experiment, so it's likely somewhat off from the value we would expect in our experiment.