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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: Chukko, Yusuf Buba, Muminov, Mukhiddin
Format: Article
Published: World Scientific Publishing Co. Pte Ltd 2020
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/93823/
http://dx.doi.org/10.1142/S0217984920500426
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spelling 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
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Chukko, Yusuf Buba
Muminov, Mukhiddin
Shock-wave propagation in an isothermal slightly-compressible bubbly viscoelastic fluid flow
description 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.
format Article
author 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
title_full_unstemmed Shock-wave propagation in an isothermal slightly-compressible bubbly viscoelastic fluid flow
title_sort shock-wave propagation in an isothermal slightly-compressible bubbly viscoelastic fluid flow
publisher World Scientific Publishing Co. Pte Ltd
publishDate 2020
url http://eprints.utm.my/id/eprint/93823/
http://dx.doi.org/10.1142/S0217984920500426
_version_ 1724073270311911424
score 13.18916

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