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Research Papers: Friction & Wear

Fractal Characterization of Slurry Eroded Surfaces at Different Impact Angles

[+] Author and Article Information
Abouel-Kasem

Department of Mechanical Engineering, Faculty of Engineering, Assiut University, Assiut 71516, Egyptabouelkasem@yahoo.com

M. A. Al-Bukhaiti

Department of Mechanical Engineering, Faculty of Engineering, Sana’a University, Sana’a 12554, Yemenalbukhaiti@yahoo.com

K. M. Emara

Department of Mechanical Engineering, Faculty of Engineering, Assiut University, Assiut 71516, Egyptemara@aun.edu.eg

S. M. Ahmed

Department of Mechanical Engineering, Faculty of Engineering, Assiut University, Assiut 71516, Egyptshemy2001@yahoo.com

J. Tribol 131(3), 031601 (May 22, 2009) (9 pages) doi:10.1115/1.3118784 History: Revised October 05, 2006; Received July 05, 2008; Published May 22, 2009

In the present work, the topographical images of slurry erosion surfaces at different impact angles were quantified using fractal analysis. The study showed that the variation of fractal value of slope of linearized power spectral density with the impact angle is largely similar to the relationship between the erosion rate and the impact angle. Both the fractal value and erosion rate were maximum at 45 deg and 90 deg for ductile and brittle materials, respectively. It was found also that the variation of fractal values versus the impact angle has a general trend that does not depend on magnification factor. The fractal features to the eroded surfaces along different directions showed high directionality at oblique impact angle and were symmetrical at normal impact.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Power spectral density of a fractal isotropic surface

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Figure 2

Schematic of the slurry erosion whirling-arm rig

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Figure 3

Scanning electron microphotograph of silica sand, mean diameter=605 μm

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Figure 4

(a) Images of the surface of the 1017 carbon steel eroded at an impact angle of 45 deg corresponding to the graphs of (b). (b) The power spectrum of the images, plotted as directionally averaged of log(PSD) versus log(frequency), the upper right part of which shows its phase distribution (estimated at images originally magnified (i) 35, (ii) 100, and (iii) 1500).

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Figure 5

(a) Images of surface of high-Cr white cast iron eroded at an impact angle of 90 deg corresponding to the graphs of (b). (b) The power spectrum of the images, plotted as directionally averaged of log(PSD) versus log(frequency), the upper right part of which shows its phase distribution (estimated at images originally magnified (i) 35, (ii) 100, and (iii) 2000).

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Figure 6

Variation of fractal value with impact angle for the 1017 steel at different magnifications

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Figure 7

Variation of fractal value with impact angle for the high-Cr white cast iron at different magnifications

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Figure 8

Relationship between erosion rate and impact angle of the 1017 steel (a) and high-Cr white cast iron (b) (1)

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Figure 9

Fractal value versus impact angle for SUS 304 (curve a) and ceramic material AD998-C (curve b)

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Figure 10

Erosion rate versus impact angle for SUS 304 stainless steel at impinged speed of 99.5 m/s (a) (32) and ceramic material AD998-C (b) (33)

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Figure 11

Eroded surface of the 1017 steel at impact angles of (a) 30 deg and (b) 90 deg

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Figure 12

Eroded surface of the high-Cr white cast iron at impact angles of (a) 30 deg and (b) 90 deg

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Figure 13

The fractal value distributions of the 1017 steel surfaces with impact angle

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Figure 14

The fractal value distributions of the high-Cr white cast iron surfaces with impact angle

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