Analysis of factors affecting destabilization of a viscous liquid flow in channels

• Autorzy: Mamedov Asiman , Hnativ Roman , Yakhno Oleg , Murashchenko Alena

Identyfikatory

DOI

10.59441/ijame/172899

• Języki publikacji: EN

Abstrakty

EN

An analysis of the influence of inertia forces and ponderomotive forces on the destabilization of the flow of viscous fluids in the hydrodynamic initial section is given. Cases of flow of viscous, anomalously viscous and electrically conductive liquids are considered; the degree of influence of mass forces on the destabilization of the flow is estimated. As applied to the flow in the hydrodynamic initial section, the degree of influence of inertia forces from convective acceleration and forces with a magnetic nature can be different. Inertia forces stimulate the accelerated movement of the fluid, and in the case of forces with a magnetic nature, ponderomotive forces contribute to deceleration, which is confirmed by the results of studies of the velocity field. Recommendations are given for calculating the length of the hydrodynamic initial section in the presence of mass forces with different nature.

Słowa kluczowe

EN

hydrodynamic initial section; ponderomotive force; length of the initial section; Hartmann number; unstabilized fluid flow

PL

hydrodynamika; liczba Hartmanna; przepływ płynu

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2023
• Tom: Vol. 28, no. 3
• Strony: 86--100
• Opis fizyczny: Bibliogr. 21 poz., rys., tab., wykr.

Twórcy

autor

Mamedov Asiman

• Department of Applied Hydroaeromechanics and Mechanotronics, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, UKRAINE

autor

Hnativ Roman

• Institute of Civil Engineering and Building Systems, Lviv Polytechnic National University, Lviv, UKRAINE

autor

Yakhno Oleg

• Department of Applied Hydroaeromechanics and Mechanotronics, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, UKRAINE

autor

Murashchenko Alena

• Department of Applied Hydroaeromechanics and Mechanotronics, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, UKRAINE

Bibliografia

• [1] Povh I.L., Kapusta А.B. and Chenin B. (1974): Magnetic Hydrodynamics.– М., Metallurgiya, p.238.
• [2] Pai Shi I. (1964): Magnetic Hydrodynamics and Plasma Dynamics.– М., Мir, p.302 p.
• [3] Rissel M. and Wang Ya-Guang (2021): Global exact controllability of ideal incompressible magnetohydrodynamic flows through a planar duct.– ESAIM Control Optim. Calc. Var., vol.27, No.103, p.24.
• [4] Falsaperla P., Mulone G. and Perrone C. (2022): Nonlinear energy stability of magnetohydrodynamics Couette and Hartmann shear flows: A contradiction and a conjecture.– Int. J. Non-Linear Mech. vol.138, p.103835.
• [5] Falsaperla P., Mulone G. and Perrone C. (2022): Stability of Hartmann shear flows in an open inclined channel.– Nonlinear Anal. Real World Appl., vol.64, p.103446. https://doi.org/10.1016/j.nonrwa.2021.103446.
• [6] Moresco P. and Alboussi`ere T. (2004): Experimental study of the instability of the Hartmann layer.– J. Fluid Mech., vol.504, pp.167-181.
• [7] Temam R. (2001): Navier-Stokes equations.– AMS Chelsea Publishing, Providence, RI, Theory and numerical analysis, Reprint of the 1984 edition.
• [8] Martinson L. and Pavlov К. (1965): Magnetic hydrodynamics.– Riga, Znatne, vol.4, pp.61-66.
• [9] Vatazhin A.B., Lyubimov G. A. and Regirer S. A. (1970): Magnetohydrodynamic Flows in Channels.– М., p.672.
• [10] Tao Q. (2018): Local exact controllability for the planar compressible magnetohydrodynamic equations.– SIAM J. Control Optim., vol.56, No.6, pp.4461-4487.
• [11] Yakhno O., Mamedov A. and Stas S. (2019): Influence of transverse magnetic field on flow destabilization in the channel.– Bulletin of the National Technical University "KhPI". Series: Hydraulic machines and hydraulic units, No.1, pp.25-29.
• [12] Xiao Y. and Xin Z. (2013): On the inviscid limit of the 3D Navier-Stokes equations with generalized Navier-slip boundary conditions.– Commun. Math. Stat., vol.1, No.3, pp.259-279.
• [13] Shercliff J.A. (1967): Magnetohydrodynamics course.– М., Мir, p.320.
• [14] Hagan J. and Priede J. (2013): Weakly nonlinear stability analysis of magnetohydrodynamic channel flow using an efficient numerical approach.– Physics of Fluids, vol.25, p.124108. https://doi.org/10.1063/1.4851275.
• [15] Davidson P.A. (2001): An Introduction to Magnetohydrodynamics.– publ. ed., in: Cambridge Texts in Applied Mathematics, Cambridge Univ. Press, Cambridge.
• [16] Roberts P. H. (1967): An Introduction to Magnetohydrodynamics.– Longmans, Sec.6.2.
• [17] Shercliff J.A. (1965): A Textbook of Magnetohydrodynamics.– Pergamon Press, Oxford, New York.
• [18] Pleskacz L. and Fornalik-Wajs E. (2014): Magnetic field impact on the high and low Reynolds number flows.– J.Phys. Conf. Ser., vol.530, doi:10.1088/1742-6596/530/1/012062.
• [19] Takashima M. (1996): The stability of the modified plane Poiseuille flow in the presence of a transverse magnetic field.– Fluid Dynamics Research, vol.17, pp.293-310.
• [20] Takashima M. (1998): The stability of the modified plane Couette flow in the presence of a transverse magnetic field, Fluid Dynamics Research, vol.22, pp.105-121.
• [21] Pleskacz Ł. and Fornalik-Wajs E. (2019): Identification of the structures for low Reynolds number flow in the strong magnetic field.– Fluids, vol.4, No.36. p.21, https://doi.org/10.3390/fluids4010036.

Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024)