The fully developed regime of mixed convection in a vertical plane channel with symmetric and uniform temperature prescribed on the bounding walls is studied. The effect of viscous dissipation is taken into account and the Oberbeck-Boussinesq approximation is adopted by choosing the average fluid temperature as the reference temperature. The viscous dissipation effect induces the existence of dual branches of stationary solutions. A nonlinear stability analysis versus fully-developed modes of perturbation is carried out showing that the second branch of dual stationary solutions is unstable.
Barletta, A., Miklavčič, M. (2016). On fully developed mixed convection with viscous dissipation in a vertical channel and its stability. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 96(12), 1457-1466 [10.1002/zamm.201500266].
On fully developed mixed convection with viscous dissipation in a vertical channel and its stability
BARLETTA, ANTONIO;
2016
Abstract
The fully developed regime of mixed convection in a vertical plane channel with symmetric and uniform temperature prescribed on the bounding walls is studied. The effect of viscous dissipation is taken into account and the Oberbeck-Boussinesq approximation is adopted by choosing the average fluid temperature as the reference temperature. The viscous dissipation effect induces the existence of dual branches of stationary solutions. A nonlinear stability analysis versus fully-developed modes of perturbation is carried out showing that the second branch of dual stationary solutions is unstable.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
