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Weakly nonlinear analysis of two dimensional sheared granular flow

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Abstract

Weakly nonlinear analysis of a two dimensional sheared granular flow is carried out under the Lees-Edwards boundary condition. We derive the time dependent Ginzburg–Landau equation of a disturbance amplitude starting from a set of granular hydrodynamic equations and discuss the bifurcation of the steady amplitude in the hydrodynamic limit.

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  1. Kuniyasu Saitoh

    Present address: Faculty of Engineering Technology, University of Twente, 7500 AE, Enschede, The Netherlands

Authors and Affiliations

  1. Yukawa Institute for Theoretical Physics, Kyoto University, Sakyoku, Kyoto, 606-8502, Japan

    Kuniyasu Saitoh & Hisao Hayakawa

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  1. Kuniyasu Saitoh
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  2. Hisao Hayakawa
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Correspondence to Kuniyasu Saitoh.

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Saitoh, K., Hayakawa, H. Weakly nonlinear analysis of two dimensional sheared granular flow. Granular Matter 13, 697–711 (2011). https://doi.org/10.1007/s10035-011-0283-2

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