Appearance of a Solitary Wave Particle Concentration in Nanofluids under a Light Field

Abstract

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.

Heat Transfer and Fluids Properties of Nanofluids

“…The optical properties of nanofluids are crucial for their application in solar energy systems, such as solar collectors, and investigations on the nonlinear optical effects of nanocolloids is of particular interest and importance. In this regard, a numerical study on the appearance of a solitary wave particle concentration in nanofluids under a light field was conducted by Livashvili et al [ 5 ]. In this study, two exact analytical solutions to a nonlinear Burgers–Huxley-type equation were derived and investigated considering the dependence of various parameters such as the coefficients of thermal conductivity, viscosity, and absorption of radiation on the nanoparticle concentration in the nanofluid.…”

Erratum: Livashvili et al. Appearance of a Solitary Wave Particle Concentration in Nanofluids under a Light Field. Nanomaterials 2021, 11, 1291

“…The authors wish to make the following corrections to this paper [ 1 ]. The div was omitted due to misprints which appeared in revised version.…”