MadSci Network: Earth Sciences |
Let's start with a few basic facts, and then use them to answer your questions. Snow is a very good insulator, especially 'fluffy' snow. This is because it is mostly trapped air by volume. The little voids in the snow are too small to allow the air to circulate, which stops heat from being lost by what we call convection. In addition, the trapped air does not let heat travel through it easily (mostly because air has very little mass per unit volume) and thus heat conduction is also low. It is also generally true that the quickest route for heat gain and loss for a pond is going to be from its upper surface. That is, gain or loss of heat from the surrounding soil, rocks, etc is likely to be far slower than the heat transfer due to winds, etc. This doesn't always hold true...especially if the lake has springs in it. Water is a very peculiar substance, in that it expands when it freezes. This expansion actually starts a little bit before the formation of ice, so that the densest water is at 4 degrees centigrade (appx. 39 degrees F). This is why ice floats, by the way, instead of sinking. Note also that the water below the ice is warmer than the ice itself. OK...on to the questions: 1) We noticed that when snow fell on a frozen pond, it seemed >to weaken the ice--lessen its thickness, even though the temperature >remained below freezing and it was not sunny. Can you explain why this >happened? The water below the ice is warmer than the ice is. If you put a blanket of insulating snow on top of the ice, then the heat loss from the upper surface of the ice can become less than the heat gained from the warmer water below. Thus the ice layer ends up absorbing more heat than before, and some of it will melt. >2)Why does a pond freeze around the edges first and the center last, >likewise why does a frozen pond mel around the edges first and the center >last? Since the main route of heat loss/gain of the pond is thorugh its upper surface, we expect the temperature to change in the upper layers first. Now, if the water is shallow, then there isn't as large a heat reservoir behind the surface as when the water is deep. This will generally mean that the margins will be affected before the center. When the pond is losing heat, the water densifies as it cools, and this cooler, more dense water will tend to sink, being replaced by somewhat warmer water. Now, near the edges, it doesn't take long before all the water is cooled to the point that it can't cool any more without ice forming. But in the center, I have a much larger volume of water to cool before running out of warmer water from below. There may also be a nucleation issue. It turns out that it's harder to form ice in pure water than on the surface of almost anything that happens to be in contact with the water. So the shoreline, and the aquatic plant stems, etc, near the shore may act to speed up the freezing process. Now, as to the reverse, my experience is different than yours. At least the small lakes I knew in Michigan tended to melt first in the center, not the edge. Maybe they had springs and the convection from those weakened the central ice first. What will happen is that the area of greatest heat gain will melt first. If the pond in question has ice that has frozen all the way through to the bottom out in the shallow edges, then I'd expect the edges to melt first. The reason is that there is no liquid water below to 'carry away' the absorbed heat. Out in the center, as the ice absorbs heat, it will warm the almost-zero-centigrade water just below it. When it does so, this water becomes more dense and sinks (remember, the densest water is at 4 degrees centigrade). This acts to carry away heat and thus retard the ice's melting. >3)Does the amount of surface area have an influence on the rate at which >pond freezes? What's more important here is not the total surface area, but the surface area (through which most of the heat loss and gain occurs) relative to the volume of the water, or, in other words, the average depth of the pond. That is, a 1 acre pond 6 feet deep will take more time to form ice than a 1 acre "pond" 6 inches deep. But smaller area ponds also tend to be shallower ones, so it is very likely that you'd notice an empirical relationship between the area of ponds and how fast they freeze, with smaller ones generally freezing first.
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