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shock wave propagation in monodispersed bubbly viscoelastic fluid flow

Chukkol, Y. B. and Mohamad, M. N. and Muminov, M. (2019) shock wave propagation in monodispersed bubbly viscoelastic fluid flow. In: Innovative Technologies for Mathematics and Mathematics for Technological Innovation, MathTech 2018, 10-12 Dec 2018, Penang, Malaysia.

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Official URL: http://www.dx.doi.org/10.1063/1.5136490


By adopting reduction perturbation techniques, weakly non-linear wave equation in bubbly viscoelastic liquid flow is derived. Viscosity, elasticity and surface tension are considered under isothermal condition. A kink travelling wave solution is obtained using tangent hyperbolic method combined with Ricatti equation. Graphical representation of the solution is given and analysed with different values of parameter. The result shows that the steepening of the kink wave decreases with the increase of viscosity while the dispersion of the wave is greatly affected by the elasticity of the liquid. The result may be applied in sono-chemistry and biomedical application.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:perturbation techniques, tangent hyperbolic method
Subjects:Q Science > QA Mathematics
ID Code:91590
Deposited By: Narimah Nawil
Deposited On:11 Jul 2021 22:30
Last Modified:11 Jul 2021 22:30

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