Geodesic
The exact solutions for the flow of liquid polymer with variable discharge in the flat channel with permeable walls
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 1537-1551

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We have studied the problem of steady-state flow of viscoelastic liquid in the flat channel for the modified Vinogradov–Pokrovskii rheological model. It was shown that the problem has a set of solutions which could be calculated exactly. These type of solutions correspond to the flow with permeable walls and variable discharge along the flat channel. The solutions include the cases of constant and linear pressure gradient in the channel.
Keywords: Vinogradov–Pokrovskii rheological model, steady-state solutions.
Mots-clés : Poiseuille flow 
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     title = {The exact solutions for the flow of liquid polymer with variable discharge in the flat channel with permeable walls},
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R. E. Semenko; G. N. Shukurov. The exact solutions for the flow of liquid polymer with variable discharge in the flat channel with permeable walls. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 1537-1551. http://geodesic.mathdoc.fr/item/SEMR_2023_20_2_a50/