Linear stability analysis of a surfactant-laden shear-imposed falling film

2019 ◽  
Vol 31 (5) ◽  
pp. 054103 ◽  
Author(s):  
Farooq Ahmad Bhat ◽  
Arghya Samanta
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Falling Film

Effect of Longitudinal Minigrooves on Flow Stability and Wave Characteristics of Falling Liquid Films

2008 ◽  
Vol 131 (1) ◽  
Author(s):  
Klaus Helbig ◽  
Ralph Nasarek ◽  
Tatiana Gambaryan-Roisman ◽  
Peter Stephan
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Film Flow ◽  
Flow Direction ◽  
Wave Theory ◽  
Liquid Films ◽  
Falling Film ◽  
Wave Characteristics ◽  
Falling Liquid Films

Falling liquid films are used in many industrial apparatuses. In many cases the film flow along a wall with topography is considered advantageous for intensification of the heat and mass transport. One of the promising types of the wall topography for the heat transfer intensification is comprised of minigrooves aligned along the main flow direction. The wall topography affects the development of wavy patterns on the liquid-gas interface. Linear stability analysis of the falling film flow based on the long-wave theory predicts that longitudinal grooves lead to the decrease in the disturbance growth rate and therefore stabilize the film. The linear stability analysis also predicts that the frequency of the fastest growing disturbance mode and the wave propagation velocity decrease on a wall with longitudinal minigrooves in comparison with a smooth wall. In the present work the effect of the longitudinal minigrooves on the falling film flow is studied experimentally. We use the shadow method and the confocal chromatic sensoring technique to study the wavy structure of falling films on smooth walls and on walls with longitudinal minigrooves. The measured film thickness profiles are used to quantify the effect of the wall topography on wave characteristics. The experimental results confirm the theoretical predictions.

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