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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023, Number 8, Pages 45–55
DOI: https://doi.org/10.26907/0021-3446-2023-8-45-55
(Mi ivm9907)
 

This article is cited in 5 scientific papers (total in 5 papers)

Mathematical modeling of hydrodynamic resistance in a viscolicative flow of a viscoelastic fluid

K. Navruzova, A. Sh. Begjanova, Sh. B. Sharipovaa, J. Jumayevb

a Urganch State University, 14 Hamid Olimjon str., Urganch, 220100 Republic of Uzbekistan
b Bukhara State University, 11 Muhammad Ikbol str., Bukhara, 200018 Republic of Uzbekistan
Full-text PDF (358 kB) Citations (5)
References:
Abstract: The problems of the oscillatory flow of a viscoelastic fluid in a flat channel for a given harmonic oscillation of the fluid flow rate are solved on the basis of the generalized Maxwell model. The transfer function of the amplitude-phase frequency characteristics is determined. These functions make it possible to evaluate the hydraulic resistance under a given law, the change in the longitudinal velocity averaged over the channel section, as well as during the flow of a viscoelastic fluid in a non-stationary flow, allow, to determine the dissipation of mechanical energy in a non-stationary flow of the medium, which are important in the regulation of hydraulic and pneumatic systems. Since its real part allows, determines the active hydraulic resistance, and the imaginary part is reactive or inductance of the oscillatory flow.
Keywords: viscoelastic fluid, unsteady flow, transfer function, oscillatory flow, amplitude, phase.
Received: 29.03.2023
Revised: 29.03.2023
Accepted: 29.05.2023
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2023, Volume 67, Issue 8, Pages 27–35
DOI: https://doi.org/10.3103/S1066369X23080066
Document Type: Article
UDC: 532.516
Language: Russian
Citation: K. Navruzov, A. Sh. Begjanov, Sh. B. Sharipova, J. Jumayev, “Mathematical modeling of hydrodynamic resistance in a viscolicative flow of a viscoelastic fluid”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 8, 45–55; Russian Math. (Iz. VUZ), 67:8 (2023), 27–35
Citation in format AMSBIB
\Bibitem{NavBegSha23}
\by K.~Navruzov, A.~Sh.~Begjanov, Sh.~B.~Sharipova, J.~Jumayev
\paper Mathematical modeling of hydrodynamic resistance in a viscolicative flow of a viscoelastic fluid
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2023
\issue 8
\pages 45--55
\mathnet{http://mi.mathnet.ru/ivm9907}
\crossref{https://doi.org/10.26907/0021-3446-2023-8-45-55}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2023
\vol 67
\issue 8
\pages 27--35
\crossref{https://doi.org/10.3103/S1066369X23080066}
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