An amateur’s outlook on computation and mathematics

Snowdunes

by Brian Hayes

Published 28 February 2011

Several weeks ago, on the morning after the first winter storm here in the Boston area, I wrote about some peculiar snow geometry on porch railings. Now, following another storm (which I wish I could believe might be the last of the season), I have more puzzling snow shapes to present.

What gives rise to the quasi-periodic undulations in the snow filling my neighbors’ rain gutters?

Scallops0722

Note that on the roof above the gutter the snow depth appears to be perfectly uniform. The scalloped shapes appear only in the gutters.

Scallops0718

Elsewhere on the same house, the waves are less regular in period and smaller in amplitude, but they are still clearly present.

Scallops0710

On the opposite side of a different house I find more undulations, this time in the gutters draining a relatively flat porch roof.

All of the gutters shown above are oriented northwest-southeast, and were roughly parallel to the prevailing wind direction during the storm (although winds were very light). Gutters perpendicular to these revealed little or no evidence of wavelike disturbances. Waves were also absent from other linear surfaces, such as railings, regardless or orientation.

I’ve seen no sign of such wavelike formations in any previous snowfall this winter. To my eye, the waveforms are cusplike—cycloidal, perhaps, rather than sinusoidal. The snow was fairly heavy and sticky (note the coating on tree branches); temperatures were just a few degrees below freezing; total accumulation was about 10 cm.

Anyone care to propose a mechanism?

Update: After a welcome day of warm rain, the answer has slowly emerged from the wilting snow, and it has nothing to do with subtleties of fluid dynamics or particle deposition.

Hangers0732

In the photo at right, peeking out from behind the last remnants of the melting snowdunes, are the metal spikes and straps that fasten the gutters to the fascia board. Their somewhat irregular spacing is a good match for the pattern of cusplike peaks. Of course! How could I have failed to think of that?

Why did the dunes appear only in this storm? Earlier snows were fluffier and deeper, and probably less affected by the hanger straps. Why only on certain sides of the houses? I’m not sure about that, but the one duneless gutter I’ve been to able to examine closely has a different hanger system, without the obstructing straps.

 

Responses from readers:

  • A comment from Derek R, 28 February 2011 at 10:19 am

    Do they coincide with the edges of the shingles?

  • A comment from brian, 28 February 2011 at 10:32 am

    Given that the “wavelength” is variable, I don’t think there can be any strong correlation with shingles or other structures and textures. The porch roof in the third photo is a membrane with no shingles.

  • A comment from Cory C, 28 February 2011 at 11:31 am

    Perhaps this is related to the “washboarding” phenomenon observed on dirt roads? From my understanding, this is similar to skipping a stone on water, but the medium (snow or dirt) will not return to the original state so easily. This would explain why gutters perpendicular to the wind do not show this behavior. The lack of undulations on other surfaces could be because the snow is not constrained on the sides which causes it to lose its shape too easily.

    There is a Physical Review E article on the subject: http://pre.aps.org/abstract/PRE/v79/i6/e061308

  • A comment from Jim Ward, 28 February 2011 at 7:09 pm

    Could put a camera on it and do a time lapse next winter.

Please note: The bit-player website is no longer equipped to accept and publish comments from readers, but the author is still eager to hear from you. Send comments, criticism, compliments, or corrections to brian@bit-player.org.

Tags for this article: problems and puzzles, science.

Publication history

First publication: 28 February 2011

Converted to Eleventy framework: 22 April 2025

Minor edits: 14 May 2025

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