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ABOUT LOCAL FRACTIONAL THREE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN CANTOR-TYPE CYLINDRICAL CO-ORDINATE SYSTEM

ABSTRACT
In this article, we investigate the local fractional 3-D compressible Navier-Stokes equation via local fractional derivative. We use the Cantor-type cylindrical co-ordinate method to transfer 3-D compressible Navier-Stokes equation from the Cantorian co-ordinate system to the Cantor-type cylindrical co-ordinate system.
KEYWORDS
PAPER SUBMITTED: 2015-12-10
PAPER REVISED: 2016-02-23
PAPER ACCEPTED: 2016-03-10
PUBLISHED ONLINE: 2016-09-24
DOI REFERENCE: https://doi.org/10.2298/TSCI16S3847G
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 3, PAGES [S847 - S851]
REFERENCES
  1. ***, Fractional Dynamics (Eds. C. Cattani, H. M. Srivastava, X.-J. Yang), De Gruyter Open, Berlin, 2015, ISBN 978-3-11-029316-6
  2. Yang, X. J., et al., Local Fractional Integral Transforms and Their Applications, Academic Press, New York, USA, 2015
  3. Zhao, Y., et al., Maxwell's Equations on Cantor Sets: A Local Fractional Approach, Advances in High Energy Physics, 2013 (2013), ID 686371, pp. 1-8
  4. Hao, Y. J., et al., Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor-Type Cylindrical Co-ordinates, Advances in Mathematical Physics, 2013 (2013), ID 754248, pp. 1-5
  5. Yang, X. J., et al., Observing Diffusion Problems Defined on Cantor Sets in Different Co-ordinate Systems, Thermal Science, 19 (2015), Suppl. 1, pp. S151-S156
  6. Yang, X. J., et al., Cantor-Type Cylindrical Co-ordinate Method for Differential Equations with Local Fractional Derivatives, Physics Letter A, 377 (2013), 28, pp. 1696-1700
  7. Yang, X. J., et al., Systems of Navier-Stokes Equations on Cantor Sets, Mathematical Problem in Engineering, 2013 (2013), ID 769724, pp. 1-8
  8. Liu, H. Y., et al., Fractional Calculus for Nanoscale Flow and Heat Transfer, International Journal of Numerical Methods for Heat & Fluid Flow, 24 (2014), 6, pp. 1227-1250

© 2019 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence