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.
On fully developed mixed convection with viscous dissipation in a vertical channel and its stability / Barletta, A; Miklavčič, M.. - In: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK. - ISSN 0044-2267. - STAMPA. - 96:12(2016), pp. 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.
