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Experimental Result Comparisons of Curve Fitting Algorithms on Fluid Path Lines Modeling in Strengthen Grinding Flow Field

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Abstract

Stirred turbulence with abrasive particles were widely employed for strengthen grinding in mechanical industries, therefore, the dynamic characteristic of turbulent flow comes up as a key element influencing grinding mechanism and operation performance in a long term. In this experimental research, we use flow path lines (turbulent path lines) to demonstrate the specific moving process of turbulent flow during strengthen grinding operation, which can be clearly identified by the real-time spatial movements of those abrasive particles, therefore a visual experimental approach can be provided to analyze the three-dimensionalmotion characteristics of strengthen grinding turbulence. The free movements of abrasive particles in three-dimensional grinding flow field exert an important influence on the geometrical properties of fluid path lines to be fitted, and the influence mechanism caused by those fluid path modeling algorithms should be studied quantitatively in detail. In this article, after extracting the image coordinates of those selected abrasive particles denoted as physical control points, and determining the three-dimensional moving path of turbulent flow by using imaging head array mounted on turbulence monitoring platform, several typical algorithms of curve fitting were sequentially employed for constructing the spatial path lines of turbulent flow, using coordinate transformation and flow motion vector computations. On the basis of computing the newly proposed curve mathematical properties, we made an experimental result comparison of those curve fitting algorithms on the established fluid path models. With several proposed experimental suggestions concerning turbulence inspection, flow path modeling processes and their correlated experimental mechanisms, the performance inspection of strengthen grinding turbulence experiments will be highly facilitated and remarkably optimized. Thereafter, new ideas for studying strengthen grinding process in future were also provided.

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Authors and Affiliations

  1. School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou, 510006, China

    Z. W. Liang, X. C. Liu & B. H. Xie

  2. School of Mechanical & Automotive Engineering, South China University of Technology, Guangzhou, China

    B. Y. Ye

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  1. Z. W. Liang
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  2. X. C. Liu
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  3. B. Y. Ye
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  4. B. H. Xie
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Correspondence to Z. W. Liang.

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Liang, Z.W., Liu, X.C., Ye, B.Y. et al. Experimental Result Comparisons of Curve Fitting Algorithms on Fluid Path Lines Modeling in Strengthen Grinding Flow Field. Exp Tech 40, 715–735 (2016). https://doi.org/10.1007/s40799-016-0072-2

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  • DOI: https://doi.org/10.1007/s40799-016-0072-2

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