Theoretical and Computational Fluid Dynamics

, Volume 25, Issue 1, pp 179–193

Global modes in a confined impinging jet: application to heat transfer and control

Original Article

DOI: 10.1007/s00162-010-0194-6

Cite this article as:
Meliga, P. & Chomaz, JM. Theor. Comput. Fluid Dyn. (2011) 25: 179. doi:10.1007/s00162-010-0194-6


We investigate the stability and control of a plane, laminar jet impinging on a flat plate in a channel, a geometry used to cool down a hot wall with a cold air jet in many industrial configurations. The global stability analysis indicates that, even for a strong confinement, the two-dimensional (2-D) steady flow is unstable to three-dimensional (3-D), steady perturbations. In the simplest limit case where dilatation effects are neglected, we show that the development of the instability induces a significant spanwise modulation of the heat flux at the impacted wall. To control the leading global mode, we propose adjoint-based 3-D harmonic and 2-D steady forcing in the bulk or at the wall. We show for instance that the unstable mode is controllable using a spanwise uniform blowing at the upper wall, in a specific domain corresponding to the footprint of the upper recirculating bubble. These techniques are applied to a novel open-loop control, in which we introduce into the flow a small airfoil, modelled by the lift force it exerts on the flow.


Impinging jet Global instability Wavemaker Control Lift 

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.LadHyX-CNRS, Ecole PolytechniquePalaiseauFrance
  2. 2.LFMI, Ecole Polytechnique Fédérale de LausanneLausanneSwitzerland