DOI: https://doi.org/10.20535/2521-1943.2019.85.157454

Analysis of the influence of the magnetic field on the laminar flow of a viscous fluid in the channels

O. Koval, A. Mamedov, Y. Karashchuk

Abstract


This paper is devoted to the problem of hydrodynamics of an electrically conducting fluid in a constant magnetic field acting perpendicular to the velocity vector. The influence of the transverse magnetic field on the behavior of an electrically conductive viscous fluid in the channel is analyzed. Experiments using magnetic plates with a given magnetic field made it possible to consider the conditions for the interaction of the velocity head of a liquid with a magnetic field strength and confirmed the effect of flow deceleration due to the magnetic field. As it is known, the presence of a magnetic field in this case leads to a change in the rheological properties of the flowing electrically conducting fluid and, as shown in the paper, the fluid acquires viscous-plastic properties, which significantly affects the flow resistance. The paper also shows the dependence of resistance not only on the Reynolds number but also on the Hartmann criterion. Further studies will allow to make recommendations for the calculation of hydraulic resistance, taking into account the influence of a magnetic field.

Keywords


flow rate; initial part; magnetic field; non-Newtonian fluids

References


Vatazhyn, A.B., Vatazhyn, A.B., Ljubymov, Gh. A. and Reghyrer, S.A. (1970), Maghnytoghydrodynamycheskye techenyja v kanalakh [Magnetohydrodynamic flows in the channels], Nauka, Moskow, Russia.

Sherklif, D. (1967), Kurs magnitnoi gidrodinamiki [Magnetic Fluid Dynamics Course], Mir Moskow, Russia.

Bai, Shi-i (1964), Magnitnaya gazodinamika i dinamika plazmy [Magnetic gas dynamics and plasma dynamics], Mir, Moskow, Russia.

Reyes, V.G. (ed.) (2011), Perspectives in Magnetohydrodynamics Research, Nova Science Publishers, New York, USA.

Pallabazer, Z. (1966), “Effekt magnitnoi plastichnosti v nen'yutonovskikh zhidkostyakh”, Raketnaya tekhnika i kosmonavtika: zhurnal amer. in-ta aeronavtiki i kosmonavtiki, no. 11, pp. 118-131.

Yakhno, O.M., Matiega, V.M. and Krivosheev, V.S. (2004), Gidrodinamicheskii nachal'nyi uchastok [Hydrodynamic initial section], Zelena Bukovina, Chernovtsy, Ukraine.

Zheng, L. (2012), Topics in Magnetohydrodynamics, InTech Open, London, UNITED KINGDOM.

Biskamp, D. (1997), Nonlinear Magnetohydrodynamics, Cаmbridge Univеrsity Prеss, New York, USA.

Branover, G.G., Slyusarev, N.M. and Shcherbinin, E.V. (1965), “Nekotorye rezul'taty izmereniya turbulentnykh pul'satsii skorosti v potoke rtuti v prisutstvii poperechnogo magnitnogo polya”, Magnitnaya gidrodinamika, Zinatne, pp. 33-36.

Goedbloed, H., Keepens, R. and Powers, S., (2019), Magnetohydrodynamics of Laboratory and Astrophysical Plasmas, Cаmbridge Univеrsity Prеss, 2nd ed., New York, USA.


GOST Style Citations


  1. Ватажин. А. Б. Магнитогидродинамические течения в каналах / А. Б. Ватажин, Г. А. Любимов, С. А. Регирер. – М.: Наука, 1970. – 672 с.
  2. Шерклиф Д. Курс магнитной гидродинамики / Дж. Шерклиф. – М.: Мир, 1967. – 320 с.
  3. Бай Ши-и. Магнитная газодинамика и динамика плазмы / Бай Ши-и. – М.: Мир, 1964. – 302 с.
  4. Reyes V. G. (Ed.) Perspectives in Magnetohydrodynamics Research, Nova Science Publishers, 2011, 142 p.
  5. Паллабазер З. Эффект магнитной пластичности в неньютоновских жидкостях / З. Паллабазер // Ракетная техника и космонавтика: журнал амер. ин-та аэронавтики и космонавтики, ‑ 1966. ‑ №11. ‑ С. 118-131.
  6. Яхно О. М. Гидродинамический начальный участок / О. М. Яхно, В. М. Матиега, В. С. Кривошеев. – Черновцы: Зелена Буковина, 2004. – 141 с.
  7. Zheng L. (Ed.) Topics in Magnetohydrodynamics / L. Zheng // InTech Open, 2012. – 219 p.
  8. Biskamp D. Nonlinear Magnetohydrodynamics / D. Biskamp // Cаmbridge Univеrsity Prеss, 1997. – 378 p.
  9. Брановер Г. Г. Некоторые результаты измерения турбулентных пульсаций скорости в потоке ртути в присутствии поперечного магнитного поля / Г. Г. Брановер, Н. М. Слюсарев, Э. В. Щербинин // Магнитная гидродинамика. ‑ 1965. – С.33-36.
  10. Goedbloed H. Magnetohydrodynamics of Laboratory and Astrophysical Plasmas / H. Goedbloed, R. Keepens, S. Powers // 2nd Revised ed. Edition. Cаmbridge Univеrsity Prеss, 2019. – 996 p.




________________

Mechanics and Advanced Technologies

National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 

Address: 37, Prospect Peremohy, 03056, Kyiv-56, Ukraine

tel: +380 (44) 204-95-37

http://journal.mmi.kpi.ua/