The effect of viscosity stratification on the stability of a free surface flow at low Reynolds number

1989 ◽  
Vol 1 (10) ◽  
pp. 1686-1693 ◽  
Author(s):  
D. S. Loewenherz ◽  
C. J. Lawrence
2018 ◽  
Vol 27 (2) ◽  
pp. 125-134
Author(s):  
Huashu Dou ◽  
Shuo Zhang ◽  
Hui Yang ◽  
Toshiaki Setoguchi ◽  
Yoichi Kinoue

2008 ◽  
Vol 20 (11) ◽  
pp. 115102 ◽  
Author(s):  
K. Peter Judd ◽  
Geoffrey B. Smith ◽  
Robert A. Handler ◽  
Ankur Sisodia

2021 ◽  
Author(s):  
Syeda Rubaida Zafar

In this thesis we investigate the stability of free-surface flow on a heated incline. We develop a complete mathematical model for the flow which captures the Marangoni effect and also accounts for changes in the properties of the fluid with temperature. We apply a linear stability analysis to determine the stability of the steady and uniform flow. The associated eigenvalue problem is solved numerically by means of a spectral colocation method.


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