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Home » Issues » Archive of Issues » 2023 - 1 issue » pp. 171-194

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Nigeria Yola
Year
2023
Volume
33
Issue
1
Pages
171-194
<<
Section Mechanics
Title Non-linear wave propagation in a weakly compressible Kelvin-Voigt liquid containing bubbly clusters
Author(-s) Chukkol Y.B.a, Bello I.a, Abdullahi M.a
Affiliations Modibbo Adama Universitya
Abstract The effect of bubble-bubble interaction on wave propagation in homogeneous weakly compressible viscoelastic bubbly flow is investigated using the reductive perturbation method. The bubble dynamics equation is derived using the kinetic energy conservation approach. The bubble dynamics and mixture equations are coupled with the equation of state for gas to investigate the shock wave propagation phenomenon in the mixture. A two-dimensional Korteweg-de VriesBurger (KdVB) equation in terms of a pressure profile is derived. It is found that the bubble-bubble interaction has no effect when using the parameters under our consideration.
Keywords shock wave, Kelvin-Voigt liquid, bubbly liquid, KdVB equation
UDC 517.958, 532.5
MSC 35Q35, 37K40, 74D05, 76L05
DOI 10.35634/vm230112
Received 21 August 2022
Language English
Citation Chukkol Y.B., Bello I., Abdullahi M. Non-linear wave propagation in a weakly compressible Kelvin-Voigt liquid containing bubbly clusters, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2023, vol. 33, issue 1, pp. 171-194.
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