Pattern interaction effect

J M Floryan,A Inasawa

doi:10.1038/s41598-021-93707-6

J M Floryan, A Inasawa

Open Access

https://doi.org/10.1038/s41598-021-93707-6

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Abstract

Unexpected responses of physical systems to external stimuli can be observed when the stimuli are organized into spatial patterns and, especially, when stimuli of different physical origins are involved, leading to the pattern interaction problem. Combinations of weak stimuli—individually only capable of producing marginal local responses—can produce a global response without involving any bifurcations. Its existence is demonstrated by the interaction of properly tuned topography and temperature patterns. When these patterns overlap in a symmetry preserving manner, the resulting convection has the form of local rolls. When these patterns are misaligned, the resulting convection involves global horizontal particle movement with direction depending on the type of misalignment.

Highlights

The horizontal slot has a smooth upper plate and sinusoidal grooves along the lower plate with its geometry described by yL = −1 + A cos(αx), yU = 1 (1)
Case A, which involves two isothermal plates with a grooved lower plate, has geometry corresponding to A = 0.1, α = 1 and thermal field characterized by Rap = 0, Rauni = 210
Case B, which involves two smooth plates with the lower plate exposed to a periodic heating, has geometry corresponding to A = 0 and thermal field characterized by Rap = 1500 and Rauni = −100, with the latter accounting for the difference between the upper plate temperature and the mean temperature of the lower plate encountered in the experiment

Summary

Introduction

The horizontal slot has a smooth upper plate and sinusoidal grooves along the lower plate with its geometry described by yL = −1 + A cos(αx), yU = 1 (1) Where A is the groove amplitude and α is the wave number, and subscripts L and U refer to the lower and upper plates, respectively.

Results

Conclusion