Nonlinear Convection in a Partitioned Porous Layer
Department of Mechanical Engineering, University of Bath, Bath BA2 7AY, UK
Academic Editor: Asterios Pantokratoras
Received: 23 June 2016 / Revised: 27 July 2016 / Accepted: 28 July 2016 / Published: 23 August 2016
Convection in a partitioned porous layer is considered where the thin partition causes a mechanical isolation of the two identical sublayers from one another, but heat may neveretheless conduct freely. An unsteady solver that employs the multigrid method is employed to determine steady-state strongly nonlinear for values of the Darcy–Rayleigh number up to eight times its critical value. The predictions of linear stability theory are confirmed and the accuracy of the computations are carefully monitored and controlled. It is found that the wavenumber for which the maximum rate of heat transfer is attained at any chosen value of the Darcy–Rayleigh number,
increases quite strongly from roughly
at onset to
. It is also found that convection generally cannot take place with wavenumbers which are close to the left-hand branch of the neutral stability curve because nonlinear interactions favour modes selected from higher harmonics.
This is an open access article distributed under the Creative Commons Attribution License
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
Share & Cite This Article
MDPI and ACS Style
Rees, D.A.S. Nonlinear Convection in a Partitioned Porous Layer. Fluids 2016, 1, 24.
Rees DAS. Nonlinear Convection in a Partitioned Porous Layer. Fluids. 2016; 1(3):24.
Rees, D. A.S. 2016. "Nonlinear Convection in a Partitioned Porous Layer." Fluids 1, no. 3: 24.
Show more citation formats
Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
[Return to top]
Multiple requests from the same IP address are counted as one view.