Abstract
Analytic solutions of boundary value problems have been compared for two kinds of flow, the filtration of a Newtonian fluid in a Brinkman medium and the free flow of a micropolar fluid. Both the flows are considered in a plane and a cylindrical channel with impermeable walls, where the no-slip condition is applied. An analogy between these solutions has been revealed. The conditions for equivalence of the flows have been formulated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
N. V. Churaev, Colloid J. 68, 681 (1996).
A. C. Eringen, J. Math. Mech. 16, 1 (1966).
Z. Wei, Y. Sun, W.-X. Ding, and Z.-R. Wang, Phys. Mech. Astron. 59, 694611 (2016).
E. Cosserat and F. Cosserat, Theorie des corps deformables (Hermann et Fils, Paris, 1909).
A. C. Eringen, Int. J. Eng. Sci. 2, 205 (1964).
A. C. Eringen, Microcontinuum Field Theories: Foundations and Solids (Springer, New York, 1999).
D. Yu. Khanukaeva and A. N. Filippov, Colloid J. 80, 14 (2018).
H. C. Brinkman, Research (London) 2, 190 (1949).
V. I. Roldugin, Kolloidn. Zh. 45, 1134 (1983).
A. N. Filippov, D. Yu. Khanukaeva, S. I. Vasin, et al., Colloid J. 75, 214 (2013).
D. Yu. Khanukaeva and A. N. Filippov, Tr. Ross. Gos. Univ. Nefti Gaza Imeni I.M. Gubkina, No. 3, 145 (2014).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © D.Yu. Khanukaeva, 2018, published in Membrany i Membrannye Tekhnologii, 2018, Vol. 8, No. 3, pp. 190–195.
Rights and permissions
About this article
Cite this article
Khanukaeva, D.Y. On the Analogy between Filtration Flow of Newtonian Fluid and Free Flow of Micropolar Fluid. Pet. Chem. 58, 503–507 (2018). https://doi.org/10.1134/S0965544118060051
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0965544118060051