Harmonic moment dynamics in Laplacian growth

Details Harmonic moment dynamics in Laplacian growth Harmonic moment dynamics in Laplacian growth

2009-01-20

arxiv.org/abs/0901.3128v1

Nonlinear Sciences

Pattern Formation and Solitons

10 pages, 7 figures

Scientific paper

Harmonic moments are integrals of integer powers of z = x+iy over a domain. Here the domain is an exterior of a bubble of air growing in an oil layer between two horizontal closely spaced plates. Harmonic moments are a natural basis for such Laplacian growth phenomena because, unlike other representations, these moments linearize the zero surface tension problem (Richardson, 1972), so that all moments except the lowest one are conserved in time. For non-zero surface tension, we show that the the harmonic moments decay in time rather than exhibiting the divergences of other representations. Our laboratory observations confirm the theoretical predictions and demonstrate that an interface dynamics description in terms of harmonic moments is physically realizable and robust. In addition, by extending the theory to include surface tension, we obtain from measurements of the time evolution of the harmonic moments a value for the surface tension that is within 20% of the accepted value.

Affiliated with

Also associated with

No associations

Rating

Harmonic moment dynamics in Laplacian growth does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Harmonic moment dynamics in Laplacian growth, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Harmonic moment dynamics in Laplacian growth will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-435481