scholarly journals A numerical method for a second-gradient theory of incompressible fluid flow

2007 ◽  
Vol 223 (2) ◽  
pp. 551-570 ◽  
Author(s):  
Tae-Yeon Kim ◽  
John Dolbow ◽  
Eliot Fried
Keyword(s):  
Fluid Flow ◽  
Incompressible Fluid ◽  
Numerical Method ◽  
Gradient Theory ◽  
Incompressible Fluid Flow ◽  
Second Gradient

Accurate Numerical Prediction of Incompressible Fluid Flow in Lid-Driven Cavities

2011 ◽  
Vol 110-116 ◽  
pp. 4365-4372
Author(s):  
Abdul Munir Fudhail ◽  
Mohd Rody Mohamad Zin ◽  
Nor C. Sidik Azwadi ◽  
Mohd Azli Salim
Keyword(s):  
Reynolds Number ◽  
Fluid Flow ◽  
Aspect Ratio ◽  
Incompressible Fluid ◽  
Numerical Method ◽  
Stream Function ◽  
Numerical Experiments ◽  
Flow Behavior ◽  
Incompressible Fluid Flow ◽  
Primary Vortex

In this paper, we report an efficient numerical method to predict fluid flow behavior in a square and deep lid-driven cavities. The conventional continuity and momentum equations are transformed into stream-function and vorticity formulation to reduce the number of unknown spatial quantities. Numerical experiments were performed with different values of aspect ratio and Reynolds number to investigate the effect of these dimensionless parameters on the fluid flow behavior in the cavity. In the current study, we found that the dynamics and the structure of primary vortex are significantly affected by the Reynolds number and the aspect ratio of the cavity.

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