Streamlines Near a Closed Curve and Chaotic Streamlines in Steady Cavity Flows

We envisage here that it is desired to evaluate (using a digital computer) the integral of a function f (x, y) with respect to x (say), along a curve γ in the xy-plane; the value of the function and of the co-ordinates of the curve being known only at discrete, and possibly irregularly spaced, points of γ. Such a problem frequently arises, especially where γ is a closed curve: as for instance in aerodynamics when it is desired to estimate the force components and pitching moment inferred from an experimentally determined set of pressures taken over an aerofoil; here the function values are related to the pressure measurements and γ is the aerofoil contour.

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Understanding subsonic and transonic open cavity flows and supression of cavity tones

10.2514/6.2000-658 ◽

2000 ◽

Cited By ~ 4

Author(s):

J. Henderson ◽

K. Badcock ◽

B. Richards

Keyword(s):

Open Cavity ◽

Cavity Flows

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Low-Reynolds boundary driven cavity flows in a thin liquid shell

PAMM ◽

10.1002/pamm.200700315 ◽

2007 ◽

Vol 7 (1) ◽

pp. 4100007-4100008 ◽

Cited By ~ 1

Author(s):

J. Sznitman ◽

T. RÃ¶sgen

Keyword(s):

Cavity Flows ◽

Driven Cavity ◽

Low Reynolds

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Self-sustained oscillation for compressible cylindrical cavity flows

Chinese Journal of Aeronautics ◽

10.1016/j.cja.2017.05.013 ◽

2017 ◽

Vol 30 (4) ◽

pp. 1294-1299 ◽

Cited By ~ 2

Author(s):

Kung-Ming CHUNG ◽

Kuan-Huang LEE ◽

Keh-Chin CHANG

Keyword(s):

Cylindrical Cavity ◽

Sustained Oscillation ◽

Cavity Flows

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Optimal space filling for additive manufacturing

Rapid Prototyping Journal ◽

10.1108/rpj-03-2015-0034 ◽

2016 ◽

Vol 22 (4) ◽

pp. 660-675 ◽

Cited By ~ 8

Author(s):

Sajan Kapil ◽

Prathamesh Joshi ◽

Hari Vithasth Yagani ◽

Dhirendra Rana ◽

Pravin Milind Kulkarni ◽

...

Keyword(s):

Additive Manufacturing ◽

Manufacturing Process ◽

Layered Manufacturing ◽

Closed Curve ◽

Numerical Control ◽

Surface Finishing ◽

Content Type ◽

Single Pass ◽

Connected Area ◽

Area Filling

Purpose In additive manufacturing (AM) process, the physical properties of the products made by fractal toolpaths are better as compared to those made by conventional toolpaths. Also, it is desirable to minimize the number of tool retractions. The purpose of this study is to describe three different methods to generate fractal-based computer numerical control (CNC) toolpath for area filling of a closed curve with minimum or zero tool retractions. Design/methodology/approach This work describes three different methods to generate fractal-based CNC toolpath for area filling of a closed curve with minimum or zero tool retractions. In the first method, a large fractal square is placed over the outer boundary and then rest of the unwanted curve is trimmed out. To reduce the number of retractions, ends of the trimmed toolpath are connected in such a way that overlapping within the existing toolpath is avoided. In the second method, the trimming of the fractal is similar to the first method but the ends of trimmed toolpath are connected such that the overlapping is found at the boundaries only. The toolpath in the third method is a combination of fractal and zigzag curves. This toolpath is capable of filling a given connected area in a single pass without any tool retraction and toolpath overlap within a tolerance value equal to stepover of the toolpath. Findings The generated toolpath has several applications in AM and constant Z-height surface finishing. Experiments have been performed to verify the toolpath by depositing material by hybrid layered manufacturing process. Research limitations/implications Third toolpath method is suitable for the hybrid layered manufacturing process only because the toolpath overlapping tolerance may not be enough for other AM processes. Originality/value Development of a CNC toolpath for AM specifically hybrid layered manufacturing which can completely fill any arbitrary connected area in single pass while maintaining a constant stepover.

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On Wall Effects in Cavity Flows

Journal of Ship Research ◽

10.5957/jsr.1984.28.1.70 ◽

1984 ◽

Vol 28 (01) ◽

pp. 70-75

Author(s):

C. C. Hsu

Keyword(s):

Numerical Results ◽

Cavity Flows ◽

Two Dimensional ◽

Wall Effects ◽

Free Jet ◽

Theoretical Predictions ◽

Experimental Findings ◽

Good Agreement

Simple wall correction rules for two-dimensional and nearly two-dimensional cavity flows in closed or free jet water tunnels, based on existing linearized analyses, are made. Numerical results calculated from these expressions are compared with existing experimental findings. The present theoretical predictions are, in general, in good agreement with data.

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