MATEC Web Conf.
Volume 83, 2016CSNDD 2016 - International Conference on Structural Nonlinear Dynamics and Diagnosis
|Number of page(s)||4|
|Section||Hydrodynamics and heat transfer|
|Published online||16 November 2016|
The onset of Darcy-Bénard instability in a horizontal porous channel with a free surface using a thermal nonequilibrium model
1 Department of Industrial Engineering, Alma Mater Studiorum University of Bologna, Viale Risorgimento 2, Bologna 40136, Italy
2 Department of Physics, University of Abdelmalek Essaadi, Tanger, Morocco
a e-mail: email@example.com
The intent beyond this present work is to investigate the onset of instability in homogeneous horizontal porous channel saturated with Newtonian fluid bounded by free surface from the top and impermeable wall from the bottom. The upper free surface is cooled by a third kind boundary condition, while the lower one is heated by two different ways. The wall is modelled with uniform temperature in the first case and with a perfect heat flux (Model A) in the second case. Relaxing the assumption of local thermal equilibrium model can provide in general two different Biot numbers Bs and Bf as well as two temperature profiles at the basic state, one for each phase. The linear stability of the basic motionless state is studied by using the normal modes analysis. The neutral stability curves are obtained numerically by applying a sixth order Runge-Kutta method in combination with a shooting method. The critical values of R at which the instability initiates in the porous medium with isothermal wall or isoflux wall are calculated.
© The Authors, published by EDP Sciences, 2016
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