Abstract:
Laminar flows of fluids with a yield strength in pipes under the action of a periodically changing pressure drop are considered. The Herschel–Bulkley model is adopted to describe the rheological properties of moving fluids. The effect of pressure drop fluctuations on velocity profiles, as well as on the mean flow rates, friction on the pipe walls, and the thickness of the “quasi-solid” core, is studied numerically, depending on the amplitude and frequency of pressure drop fluctuations, the generalized Bingham number, and the fluid power index. It is shown that in flows of viscoplastic fluids with a power index greater than one, the effect of pressure drop fluctuations is qualitatively different in different ranges of shear rates. Additionally, flows are investigated in which the relative amplitudes of pressure drop oscillations are large. At large amplitudes and low frequencies of pressure drop oscillations, counter-flows periodically arise in the flow and two (rather than one) zones of “quasi-solid” flow are formed; moreover, finite time intervals periodically appear in which the flow rate is zero.
Keywords:non-Newtonian fluids, Herschel–Bulkley model, pulsating flows in pipes, effect of the yield strength.
Citation:
M. E. Eglit, Yu. A. Drozdova, I. N. Usachev, A. V. Drozdov, “Flows of Liquids with a Yield Strength in Pipes under a Pulsating Pressure Drop”, Modern Methods of Mechanics, Collected papers. On the occasion of the 90th birthday of Academician Andrei Gennad'evich Kulikovskii, Trudy Mat. Inst. Steklova, 322, Steklov Math. Inst., Moscow, 2023, 282–295; Proc. Steklov Inst. Math., 322 (2023), 273–286
\Bibitem{EglDroUsa23}
\by M.~E.~Eglit, Yu.~A.~Drozdova, I.~N.~Usachev, A.~V.~Drozdov
\paper Flows of Liquids with a Yield Strength in Pipes under a Pulsating Pressure Drop
\inbook Modern Methods of Mechanics
\bookinfo Collected papers. On the occasion of the 90th birthday of Academician Andrei Gennad'evich Kulikovskii
\serial Trudy Mat. Inst. Steklova
\yr 2023
\vol 322
\pages 282--295
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4333}
\crossref{https://doi.org/10.4213/tm4333}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2023
\vol 322
\pages 273--286
\crossref{https://doi.org/10.1134/S0081543823040223}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85180177440}
Citation in format AMSBIB
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