کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1900211 | 1045284 | 2013 | 12 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: An extended equation for the description of nonlinear waves in a liquid with gas bubbles An extended equation for the description of nonlinear waves in a liquid with gas bubbles](/preview/png/1900211.png)
Nonlinear waves in a liquid with gas bubbles are studied. Higher order terms with respect to the small parameter are taken into account in the derivation of the equation for nonlinear waves. A nonlinear differential equation is derived for long weakly nonlinear waves taking into consideration liquid viscosity, inter-phase heat transfer and surface tension. Additional conditions for the parameters of the equation are determined for integrability of the mathematical model. The transformation for linearization of the nonlinear equation is presented too. Some exact solutions of the nonlinear equation are found for integrable and non-integrable cases. The nonlinear waves described by the nonlinear equation are numerically investigated.
► The study of nonlinear waves in a liquid with gas bubbles is given.
► The derivation of the equation for nonlinear waves is presented.
► Conditions for parameters of the equation are determined for integrability.
► Some exact solutions of the nonlinear equation are found.
Journal: Wave Motion - Volume 50, Issue 3, April 2013, Pages 351–362