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arXiv · 1310.7748

Nonlinear Shear Wave in a Non Newtonian Visco-elastic Medium

D. Banerjee M. S. Janaki·N. Chakrabarti·M. Chaudhuri
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Abstract

An analysis of nonlinear transverse shear wave has been carried out on non-Newtonian viscoelastic liquid using generalized hydrodynamic(GH) model. The nonlinear viscoelastic behavior is introduced through velocity shear dependence of viscosity coefficient by well known Carreau -Bird model. The dynamical feature of this shear wave leads to the celebrated Fermi-Pasta-Ulam (FPU) problem. Numerical solution has been obtained which shows that initial periodic solutions reoccur after passing through several patterns of periodic waves. A possible explanation for this periodic solution is given by constructing modified Korteweg de Vries (mKdV) equation. This model has application from laboratory to astrophysical plasmas as well as biological systems.

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D. Banerjee M. S. Janaki, N. Chakrabarti, M. Chaudhuri. 2013-10-29. Nonlinear Shear Wave in a Non Newtonian Visco-elastic Medium. https://doi.org/10.1063/1.4725501

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