A finite element study of the onset of vortex shedding in a flow past two-dimensional circular cylinder

2008 ◽  
Vol 8 (5) ◽  
pp. 288 ◽  
Author(s):  
N. Senthil Kumar ◽  
G. Biswas
Keyword(s):  
Finite Element ◽  
Circular Cylinder ◽  
Vortex Shedding ◽  
Two Dimensional ◽  
Finite Element Study ◽  
Flow Past ◽  
Element Study

Finite Element Study on Chip Formation and Force Response in Two-Dimensional Orthogonal Cutting of Rock

2014 ◽  
Author(s):  
Demeng Che ◽  
Peidong Han ◽  
Bo Peng ◽  
Kornel F. Ehmann
Keyword(s):  
Finite Element ◽  
Chip Formation ◽  
Orthogonal Cutting ◽  
Rock Cutting ◽  
Petroleum Engineering ◽  
Two Dimensional ◽  
Force Response ◽  
Finite Element Study ◽  
Axial Acceleration ◽  
Element Study

The understanding of the rock-cutter interaction is essential for efficient rock cutting/drilling performed with polycrystalline diamond compact (PDC) cutters in petroleum engineering and gas exploration. Finite element modeling of the rock cutting process still remains a challenge due to the complex material properties of rock, rock fracture and chip formation phenomena and large force oscillations during the dominant brittle cutting mode. A finite element study was conducted to investigate the chip formation and force responses in two-dimensional orthogonal cutting of rock. The Drucker-Prager model that incorporates a simple shear strain failure criterion was exploited to simulate the interactions between the rock and the cutter. A fully instrumented rock cutting testbed was developed to enable the measurements of the three orthogonal force components and of the uni-axial acceleration in the cutting direction along rectilinear tool-paths to evaluate the simulation results. The chip formation phenomena and force response predictions derived by the FEM simulations were in good agreement with the experimental tests.

Failure phenomena in two-dimensional multi-fibre model composites: 5. A finite element study

1998 ◽  
Vol 29 (9-10) ◽  
pp. 1121-1135 ◽  
Author(s):  
P.W.J van den Heuvel ◽  
M.K Wubbolts ◽  
R.J Young ◽  
T Peijs
Keyword(s):  
Finite Element ◽  
Two Dimensional ◽  
Finite Element Study ◽  
Element Study

Flow past a rotating cylinder

2003 ◽  
Vol 476 ◽  
pp. 303-334 ◽  
Author(s):  
SANJAY MITTAL ◽  
BHASKAR KUMAR
Keyword(s):  
Finite Element ◽  
Steady State ◽  
Stability Analysis ◽  
Vortex Shedding ◽  
Rotation Rate ◽  
Rotating Cylinder ◽  
Two Dimensional ◽  
Stabilized Finite Element ◽  
Rotation Rates ◽  
Flow Past

Flow past a spinning circular cylinder placed in a uniform stream is investigated via two-dimensional computations. A stabilized finite element method is utilized to solve the incompressible Navier–Stokes equations in the primitive variables formulation. The Reynolds number based on the cylinder diameter and free-stream speed of the flow is 200. The non-dimensional rotation rate, α (ratio of the surface speed and freestream speed), is varied between 0 and 5. The time integration of the flow equations is carried out for very large dimensionless time. Vortex shedding is observed for α < 1.91. For higher rotation rates the flow achieves a steady state except for 4.34 < α < 4:70 where the flow is unstable again. In the second region of instability, only one-sided vortex shedding takes place. To ascertain the instability of flow as a function of α a stabilized finite element formulation is proposed to carry out a global, non-parallel stability analysis of the two-dimensional steady-state flow for small disturbances. The formulation and its implementation are validated by predicting the Hopf bifurcation for flow past a non-rotating cylinder. The results from the stability analysis for the rotating cylinder are in very good agreement with those from direct numerical simulations. For large rotation rates, very large lift coefficients can be obtained via the Magnus effect. However, the power requirement for rotating the cylinder increases rapidly with rotation rate.

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