R-FUNCTIONS AND CHEVRON SURFACES IN MECHANICAL ENGINEERING

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J. of Mech. Eng., 2017, vol. 20, no. 2, pp. 54-60

DOI:   https://doi.org/10.15407/pmach2017.02.054

Journal Journal of Mechanical Engineering 
Publisher A. Podgorny Institute for Mechanical Engineering Problems
National Academy of Science of Ukraine
ISSN 0131-2928 (Print), 2411-0779 (Online)
Issue Vol. 20, no. 2, 2017 (June)
Pages 54–60

 

Authors

T. I. Sheyko, A. Podgorny Institute of Mechanical Engineering Problems of NASU (2/10, Pozharsky St., Kharkiv, 61046, Ukraine), e-mail: sheyko@ipmach.kharkov.ua, ORCID: 0000-0003-3295-5998

K. V. Maksymenko-Sheiko, A. Podgorny Institute of Mechanical Engineering Problems of NASU (2/10, Pozharsky St., Kharkiv, 61046, Ukraine), e-mail:  m-sh@ipmach.kharkov.ua, ORCID: 0000-0002-7064-2442

Yu. S. Litvinova, A. Podgorny Institute of Mechanical Engineering Problems of NASU (2/10, Pozharsky St., Kharkiv, 61046, Ukraine), e-mail: litjuli56@gmail.com

D. A. Lisin, V. N. Karazin Kharkiv National University (4, Svobody Sq., Kharkiv, 61022, Ukraine), ORCID: 0000-0002-6718-7389

 

Abstract

In this paper, based on the R-functions theory, we developed techniques and constructed equations for various heat transfer finning surfaces, including chevron ones. Finning not only increases the heat exchange surface, but also greatly influences the flow hydrodynamics, thereby influencing the heat transfer coefficient. The resulting surface equations were implemented on a 3D printer. Chevron wheels solve the problem of axial force, however, due to the complexity and high cost of manufacturing, chevron gears are used less frequently. 3D printing technology allows reducing the cost and complexity of manufacturing products, including chevron wheels. An analytical recording of the objects under design makes it possible to use alphabetic geometric parameters, complex superposition of functions, which, in turn, allows you to quickly change their structural elements. The property of positivity of the constructed functions in the internal points of the object is very convenient for the implementation of 3D printing.

 

Keywords: R-functions, mathematical model, finning of heat transfer surfaces, chevron

 

References

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Received 28 March 2017