Author(s):
1. Miloš Jovanović, Faculty of Mechanical Engineering in Niš, Serbia
2. Saša Milanović, Faculty of Mechanical Engineering in Niš, Serbia
3. Živan Spasić, Faculty of Mechanical Engineering in Niš, Serbia
4. Boban Nikolić, Faculty of Mechanical Engineering in Niš, Serbia

Abstract:
A spatially periodic temperature modulation is gradually applied at the lower boundary of a viscous fluid layer in Oberbeck-Boussinesq approximation to convection via vorticity transport equation. The temperature from the lower wall diffuses into the layer and induces various convection patterns. As the amplitude of the temperature modulation is increased, non-linear effects, become more prominent. An accurate numerical scheme is developed to capture the full time-dependent behaviour here. Spectral methods will be used throughout this work to provide accurate representations of the various solution components and allow for the efficient implementation of a variety of boundary conditions. Two different types of modulation are considered, namely a pure cosine as well as rounded triangle profiles, where the last of these has applications in various physical situations. Interest lies in how the nature of the convection and temperature diffusion change as the amplitude of these modulations is increased.

Key words:
viscous fluid flow, temperature modulation, convection

Thematic field:
Energetics and Thermal Engineering

Date of abstract submission:
27.02.2017.

Conference:
13th International Conference on Accomplishments in Mechanical and Industrial Engineering