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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Main Authors: | , |
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Format: | Article |
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World Scientific Publishing Co. Pte Ltd
2020
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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. |
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