Blackwell Publishing Journal Backfiles 1879-2005
An expression is derived for the temperature distribution T(x, t) in a semi-infinite solid, accreting with constant velocity v, on whose rising surface there is impressed the temperature T(o, t)= A+B cos (wt-θ), where x is depth, t is time, and A, B, ω and θ are constants. This solution is applied to the problem of an accumulating snowfield. The annual temperature wave, if accompanied by the rapid accumulation of snow, is shown to produce considerably lower temperatures in the firn than if accumulation is lacking. The effect of a diffusivity which varies with depth is also discussed; it is found that this may be treated approximately as equivalent to a theoretical fictitious velocity of accumulation.
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