Shock-wave propagation in an isothermal slightly-compressible bubbly viscoelastic fluid flow

In this work, weakly nonlinear wave equation in mono-dispersed, isothermal, bubbly, slightly compressible viscoelastic liquid is derived, using reduction perturbation method. The constitutive equation is based on the second-grade fluid model. Viscosity, relaxation, retardation and surface tension ar...

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Bibliographic Details
Main Authors: Chukko, Yusuf Buba, Muminov, Mukhiddin
Format: Article
Published: World Scientific Publishing Co. Pte Ltd 2020
Subjects:
Online Access:http://eprints.utm.my/id/eprint/93823/
http://dx.doi.org/10.1142/S0217984920500426
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Summary:In this work, weakly nonlinear wave equation in mono-dispersed, isothermal, bubbly, slightly compressible viscoelastic liquid is derived, using reduction perturbation method. The constitutive equation is based on the second-grade fluid model. Viscosity, relaxation, retardation and surface tension are considered under isothermal condition, which modifies the Rayleigh-Plesset equation for compressible liquid. A kink traveling wave solution is obtained using the tangent hyperbolic method combined with the Riccati equation. Graphical representation of the solution is given and analyzed with different parameter values.