The onset of convection in a horizontal nanofluid layer of finite depth |
| |
| Authors: | DA Nield AV Kuznetsov |
| |
| Institution: | 1. Department of Engineering Science, University of Auckland, Private Bag 92019, Auckland 1142, New Zealand;2. Department of Mechanical and Aerospace Engineering, North Carolina State University, Campus Box 7910, Raleigh, NC 27695-7910, USA;1. Department of Industrial Engineering, Alma Mater Studiorum Università di Bologna, Viale Risorgimento 2, 40136 Bologna, Italy;2. Department of Mathematics, University of Agder, Postboks 422, 4604 Kristiansand, Norway;1. School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia;2. Department of Applied Mathematics & Statistics, School of Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow 226025, UP, India;3. Solar Energy Research Institute, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia;1. Department of Industrial Engineering, Alma Mater Studiorum Università di Bologna, Viale Risorgimento 2, Bologna 40136, Italy;2. Department of Mechanical Engineering, University of Bath, Claverton Down, Bath BA2 7AY, UK;1. Department of Mathematics, Indian Institute of Technology Hyderabad, Hyderabad, 502285, Telangana, India;2. Department of Applied Sciences, University of the West England, Bristol, UK;1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India;2. Department of Computer Science, Manglayatan University, Aligarh, India |
| |
| Abstract: | This paper presents a linear stability analysis for the onset of natural convection in a horizontal nanofluid layer. The employed model incorporates the effects of Brownian motion and thermophoresis. Both monotonic and oscillatory convection for free–free, rigid–rigid, and rigid–free boundaries are investigated. The oscillatory instability is possible when nanoparticles concentrate near the bottom of the layer, so that the density gradient caused by such a bottom-heavy nanoparticle distribution competes with the density variation caused by heating from the bottom. It is established that the instability is almost purely a phenomenon due to buoyancy coupled with the conservation of nanoparticles. It is independent of the contributions of Brownian motion and thermophoresis to the thermal energy equation. Rather, the Brownian motion and thermophoresis enter to produce their effects directly into the equation expressing the conservation of nanoparticles so that the temperature and the particle density are coupled in a particular way, and that results in the thermal and concentration buoyancy effects being coupled in the same way. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
