Self-similar analysis of a viscous heated Oberbeck-Boussinesq flow system
Fluid Dynamics
2020-04-29 v1
Abstract
The simplest model to couple the heat conduction and Navier-Stokes equations together is the Oberbeck-Boussinesq(OB)system which were investigated by E.N. Lorenz and opened the paradigm of chaos. In our former studies - Chaos, Solitons and Fractals 78, 249 (2015), ibid, 103, 336 (2017) - we derived analytic solutions for the velocity, pressure and temperature fields. Additionally, we gave a possible explanation of the Rayleigh-B\`enard convection cells with the help of the self-similar Ansatz. Now we generalize the OB hydrodynamical system, including a viscous source term in the heat conduction equation. Our results may attract the interest of various fields like micro or nanofluidics or climate studies.
Keywords
Cite
@article{arxiv.1905.03686,
title = {Self-similar analysis of a viscous heated Oberbeck-Boussinesq flow system},
author = {Imre Ferenc Barna and László Mátyás and Mihály András Pocsai},
journal= {arXiv preprint arXiv:1905.03686},
year = {2020}
}
Comments
6 pages, 6 figures