Thermocapillary instability for a shear-imposed falling film
Arnab Choudhury, Arghya Samanta
Abstract
We investigate the thermocapillary instability of a three-dimensional shear-imposed viscous falling film for infinitesimal disturbances of arbitrary wavenumbers. The results show that the H-mode and the thermocapillary S-mode instabilities intensify, but the thermocapillary P-mode instability attenuates if a constant shear stress is applied in the co-flow direction. However, a completely opposite event occurs if it is applied in the counter-flow direction. Interestingly, as the imposed shear stress rises, the onset of instability for the H-mode and the onset of stability for the S-mode merge with each other and produce a single onset for the primary stability.
Topics & Concepts
InstabilityMerge (version control)MechanicsWavenumberShear (geology)PhysicsShear flowShear stressInfinitesimalFalling (accident)Classical mechanicsMaterials scienceOpticsMathematicsMathematical analysisComposite materialEnvironmental healthComputer scienceMedicineInformation retrievalFluid Dynamics and Thin FilmsSolidification and crystal growth phenomenaFluid Dynamics and Heat Transfer