THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

Xiao-Jun Yang

,

Feng Xu

,

Yi-Ying Feng

THE NON-DARCY LAW FOR THE SCALING LAW FLOW IN POROUS MEDIUM

ABSTRACT
In this article the non-Darcy law for the scaling law flow in porous medium associated with the scaling law calculus with respect to the Mandelbrots scaling law is suggested for the first time.
KEYWORDS
non-Darcy law, scaling law flow, scaling law calculus, Mandelbrots scaling law, porous medium
PAPER SUBMITTED: 2021-06-15
PAPER REVISED: 2021-07-12
PAPER ACCEPTED: 2021-07-23
PUBLISHED ONLINE: 2022-04-09
DOI REFERENCE: https://doi.org/10.2298/TSCI2202089Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 2, PAGES [1089 - 1094]
REFERENCES
  1. Darcy, H. P. G., Les Fontaines publiques de la ville de Dijon, Dalmont, Paris, 1856
  2. Hubbert, M. K., The Theory of Ground-Water Motion, The Journal of Geology, 48 (1940), 8, pp. 785-944
  3. Muskat, M., Physical Principles of Oil Production, McGraw-Hill, New York, USA, 1949
  4. Jones, K. R., On the Differential Form of Darcy's Law, Journal of Geophysical Research, 67 (1962), 2, pp. 731-732
  5. Outmans, H. D., On Darcy's Law, Journal of Geophysical Research, 67 (1962), 11, p. 4517
  6. Simmons, G., On Darcy's Law, Journal of Geophysical Research, 67 (1962), 11, p. 4516
  7. Hubbert, M. K., The Theory of Ground-Water Motion, Transactions, American Geophysical Union, 21 (1940), 2, 648
  8. Whitaker, S., Flow in Porous Media I: A Theoretical Derivation of Darcy's Law, Transport in Porous Media, 1 (1986), 1, pp. 3-25
  9. Gray, W. G., O'Neill, K., On the General Equations for Flow in Porous Media and Their Reduction to Darcy's Law, Water Resources Research, 12 (1976), 2, pp. 148-154
  10. Neuman, S. P., Theoretical Derivation of Darcy's Law, Acta Mechanica, 25 (1977), 3-4, pp. 153-170
  11. Ochoa-Tapia, J. A., et al., A Fractional-Order Darcy's Law, Physica A: Statistical Mechanics and Its Applications, 374 (2007), 1, pp. 1-14
  12. Stokes, J. P., et al., Interfacial Stability of Immiscible Displacement in a Porous Medium, Physical Re-view Letters, 57 (1986), 14, ID 1718
  13. Allain, C., et al., Scaling in Flows Driven by Heat and Mass Convection in a Porous Medium, EPL (Eu-rophysics Letters), 20 (1992), 4, ID 313
  14. Yang, X. J. New Insight into the Fourier-Like and Darcy-Like Models in Porous Medium, Thermal Sci-ence, 24 (2020), 6A, pp. 3847-3858
  15. Yang, X. J., On Traveling-Wave Solutions for the Scaling-Law Telegraph Equations, Thermal Sci-ence, 24 (2020), 6B, pp. 3861-3868
  16. Yang, X. J., et at., On the Theory of the Fractal Scaling-Law Elasticity, Meccanica (2021), July, pp. 1-13
  17. Yang, X. J., Liu, J. G., A New Insight to the Scaling-Law Fluid Associated with the Mandelbrot Scaling Law, Thermal Science, 25 (2021), 6B, pp. 4561-4568
  18. Yang, X. J., et al., A New Viewpoint on Theory of the Scaling-Law Heat Conduction Process, Thermal Science, 25 (2021), 6B, pp. 4505-4513
  19. Mandelbrot, B., How Long is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension, Science, 156 (1967), 3775, pp. 636-638
  20. Yang, X. J., Theory and Applications of Special Functions for Scientists and Engineers, Springer Singa-pore, New York, USA, 2021
PDF VERSION [DOWNLOAD]
The non-Darcy law for the scaling law flow in porous medium

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, 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