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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2020
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my.utm.938232022-01-31T08:37:15Z http://eprints.utm.my/id/eprint/93823/ Shock-wave propagation in an isothermal slightly-compressible bubbly viscoelastic fluid flow Chukko, Yusuf Buba Muminov, Mukhiddin QA Mathematics 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. World Scientific Publishing Co. Pte Ltd 2020 Article PeerReviewed Chukko, Yusuf Buba and Muminov, Mukhiddin (2020) Shock-wave propagation in an isothermal slightly-compressible bubbly viscoelastic fluid flow. Modern Physics Letters B, 34 (3). p. 2050042. ISSN 0217-9849 http://dx.doi.org/10.1142/S0217984920500426 |
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QA Mathematics Chukko, Yusuf Buba Muminov, Mukhiddin Shock-wave propagation in an isothermal slightly-compressible bubbly viscoelastic fluid flow |
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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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Article |
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Chukko, Yusuf Buba Muminov, Mukhiddin |
author_facet |
Chukko, Yusuf Buba Muminov, Mukhiddin |
author_sort |
Chukko, Yusuf Buba |
title |
Shock-wave propagation in an isothermal slightly-compressible bubbly viscoelastic fluid flow |
title_short |
Shock-wave propagation in an isothermal slightly-compressible bubbly viscoelastic fluid flow |
title_full |
Shock-wave propagation in an isothermal slightly-compressible bubbly viscoelastic fluid flow |
title_fullStr |
Shock-wave propagation in an isothermal slightly-compressible bubbly viscoelastic fluid flow |
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Shock-wave propagation in an isothermal slightly-compressible bubbly viscoelastic fluid flow |
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shock-wave propagation in an isothermal slightly-compressible bubbly viscoelastic fluid flow |
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World Scientific Publishing Co. Pte Ltd |
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2020 |
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http://eprints.utm.my/id/eprint/93823/ http://dx.doi.org/10.1142/S0217984920500426 |
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1724073270311911424 |
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13.18916 |