Stability analysis of gravity driven shear flows with free surface for power-law fluids

1998 ◽  
Vol 68 (3-4) ◽  
pp. 169-178 ◽  
Author(s):  
Y. A. Berezin ◽  
K. Hutter ◽  
L. A. Spodareva
Keyword(s):  
Free Surface ◽  
Stability Analysis ◽  
Power Law ◽  
Shear Flows ◽  
Power Law Fluids ◽  
Gravity Driven

Thermocapillary Fingering of a Gravity-Driven Self-Rewetting Fluid Film Flowing Down a Vertical Slippery Wall

2021 ◽  
Author(s):  
Chicheng Ma ◽  
Jianlin Liu
Keyword(s):  
Surface Tension ◽  
Free Surface ◽  
Stability Analysis ◽  
Film Theory ◽  
Vertical Plane ◽  
Wall Slip ◽  
Fluid Film ◽  
Numerical Verification ◽  
Gravity Driven ◽  
Interfacial Temperature

Abstract The surface tension of a self-rewetting fluid (SRF) has a parabolic shape with the increase of temperature, implying potential applications in many industrial fields. In this paper, flow patterns and stability analysis are numerically performed for a gravity driven self-rewetting fluid film flowing down a heated vertical plane with wall slip. Using the thin film theory, the evolution equation for the interfacial thickness is derived. The discussion is given considering two cases in the review of the temperature difference between the interfacial temperature and the temperature corresponding to the minimum surface tension. The base state of the two-dimensional flow is firstly obtained and the influence of the Marangoni effect and slippery effect is analyzed. Then linear stability analysis and related numerical verification are displayed, showing good consistency with each other. For a low interfacial temperature, the Marangoni promotes the fingering instability and for a high interfacial temperature, the inverse Marangoni impedes the surface instability. The wall slip is found to influence the free surface in a complex way because it can either destabilize or stabilize the flow of the free surface.

On some similarity solutions to shear flows of non-Newtonian power law fluids

1995 ◽  
Vol 112 (1-4) ◽  
pp. 229-236 ◽  
Author(s):  
J. P. Pascal ◽  
H. Pascal
Keyword(s):  
Power Law ◽  
Shear Flows ◽  
Similarity Solutions ◽  
Power Law Fluids

Improved Implicit SPH Method for simulating free surface flows of power law fluids

2013 ◽  
Vol 56 (10) ◽  
pp. 2480-2490 ◽  
Author(s):  
YaWei Han ◽  
HongFu Qiang ◽  
QuanZhang Huang ◽  
JiuLing Zhao
Keyword(s):  
Free Surface ◽  
Power Law ◽  
Free Surface Flows ◽  
Sph Method ◽  
Surface Flows ◽  
Power Law Fluids ◽  
Implicit Sph

scholarly journals Shear flows of a new class of power-law fluids

2013 ◽  
Vol 58 (2) ◽  
pp. 153-177 ◽  
Author(s):  
Christiaan Le Roux ◽  
Kumbakonam R. Rajagopal
Keyword(s):  
Power Law ◽  
Shear Flows ◽  
New Class ◽  
Power Law Fluids
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