期刊
NANOMATERIALS
卷 11, 期 5, 页码 -出版社
MDPI
DOI: 10.3390/nano11051291
关键词
nanofluid; nonlinear dynamics; colloidal suspension; solitary wave; Burgers-Huxley equation
类别
资金
- Ministry of Education and Science of the Russian Federation
This study theoretically investigates the nonlinear dynamics of nanoparticle concentration in a colloidal suspension under constant intensity light field.Analytical solutions for a nonlinear equation were derived, including a solitary concentration wave. The results can be useful for next-generation solar collectors.
In this study, the nonlinear dynamics of nanoparticle concentration in a colloidal suspension (nanofluid) were theoretically studied under the action of a light field with constant intensity by considering concentration convection. The heat and nanoparticle transfer processes that occur in this case are associated with the phenomenon of thermal diffusion, which is considered to be positive in our work. Two exact analytical solutions of a nonlinear Burgers-Huxley-type equation were derived and investigated, one of which was presented in the form of a solitary concentration wave. These solutions were derived considering the dependence of the coefficients of thermal conductivity, viscosity, and absorption of radiation on the nanoparticle concentration in the nanofluid. Furthermore, an expression was obtained for the solitary wave velocity, which depends on the absorption coefficient and intensity of the light wave. Numerical estimates of the concentration wave velocity for a specific nanofluid-water/silver-are given. The results of this study can be useful in the creation of next-generation solar collectors.
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