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Appl. Sci. 2017, 7(10), 977; doi:10.3390/app7100977

Film Thickness Estimation for the Oil Applied to the Inner Surface of Slim Tubes

1
Department of Manufacturing Machinery, Faculty of Mechanical Engineering, The Technical University of Kosice, Letná 9, 04001 Košice, Slovakia
2
Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineerings and Informatics, The Technical University of Košice, Němcovej 32, 04001 Košice, Slovakia
3
Department of Energetics Technics, Faculty of Mechanical Engineering, The Technical University of Kosice, Letná 9, 04001 Košice, Slovakia
4
Department of Automobile and Manufacturing Technologies, Faculty of Manufacturing Technologies with a Seat in Prešov, The Technical University of Košice, Bayerova 1, 08001 Prešov, Slovakia
5
Prototype and Innovation Centre, Faculty of Mechanical Engineering, The Technical University of Kosice, Letná 9, 04001 Košice, Slovakia
*
Author to whom correspondence should be addressed.
Received: 2 August 2017 / Revised: 19 September 2017 / Accepted: 20 September 2017 / Published: 22 September 2017
(This article belongs to the Section Mechanical Engineering)
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Abstract

The article deals with the approximation of the results of experimental measurement of coating of the inner surface of slim pipes with special oil, using a dispersion oil fraction. The reason for such treatment of the inner surface of the tubes is the anti-corrosion protection or various other requirements. The oil manufacturer prescribes the minimum required layer to guarantee the anti-corrosion protection parameters. Therefore, it is advisable to know the most exact coating parameters for different pipe diameters. The measured results give us an assumption of how much oil is sufficient to coat the inside of a pipe. The main idea lies in the correct estimation of coefficients in the three-parameter exponential dependence. For the initial estimates, Nelder–Mead’s minimization method was used. The condition for meeting the lower estimate of the minimum thickness of the oil layer was determined. Following graphic processing of minimization of individual pipe diameters, in some cases, the coefficients were adjusted manually. The result is that the oil thickness depends on the distance of the investigated point from the beginning of the tube, or on the point of entry of the dispersion oil fraction. View Full-Text
Keywords: approximation; oil fraction dispersion; oil film; flow of particles; minimizing method; exponential dependence; film coast thickness approximation; oil fraction dispersion; oil film; flow of particles; minimizing method; exponential dependence; film coast thickness
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Svetlík, J.; Buša, J.; Brestovič, T.; Dobránsky, J.; Kráľ, J. Film Thickness Estimation for the Oil Applied to the Inner Surface of Slim Tubes. Appl. Sci. 2017, 7, 977.

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