Numerical solution of a viscous incompressible flow problem through an orifice

1987 ◽  
Vol 44 (4) ◽  
pp. 361-375 ◽  
Author(s):  
R. C. Mittal ◽  
P. K. Sharma
1967 ◽  
Vol 28 (1) ◽  
pp. 149-151 ◽  
Author(s):  
A. Davey ◽  
D. Schofield

This paper shows the existence of a three-dimensional solution of the boundary-layer equations of viscous incompressible flow in the immediate neighbourhood of a two-dimensional stagnation point of attachment. The numerical solution has been obtained.


2015 ◽  
Vol 41 (6) ◽  
pp. 1059-1077 ◽  
Author(s):  
Pengzhan Huang ◽  
Xinlong Feng ◽  
Yinnian He

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Jilian Wu ◽  
Pengzhan Huang ◽  
Xinlong Feng

We discuss several stabilized finite element methods, which are penalty, regular, multiscale enrichment, and local Gauss integration method, for the steady incompressible flow problem with damping based on the lowest equal-order finite element space pair. Then we give the numerical comparisons between them in three numerical examples which show that the local Gauss integration method has good stability, efficiency, and accuracy properties and it is better than the others for the steady incompressible flow problem with damping on the whole. However, to our surprise, the regular method spends less CPU-time and has better accuracy properties by using Crout solver.


2019 ◽  
Vol 8 (3) ◽  
pp. 5795-5802 ◽  

The main objective of this paper is to focus on a numerical study of viscous dissipation effect on the steady state flow of MHD Williamson nanofluid. A mathematical modeled which resembles the physical flow problem has been developed. By using an appropriate transformation, we converted the system of dimensional PDEs (nonlinear) into coupled dimensionless ODEs. The numerical solution of these modeled ordinary differential equations (ODEs) is achieved by utilizing shooting technique together with Adams-Bashforth Moulton method of order four. Finally, the results of discussed for different parameters through graphs and tables.


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