Maghetohydrodynamic flows of micro/nano fluids through thin capillaries

Batyuk, L. V.; Kizilova, N. M.

doi:10.17721/1812-5409.2019/3.4

Maghetohydrodynamic flows of micro/nano fluids through thin capillaries

Тип публікації :

Стаття

Дата випуску :

2019

Автор(и) :

Batyuk, L. V.

Kizilova, N. M.

Мова основного тексту :

Англійська

eKNUTSHIR URL :

https://ir.library.knu.ua/handle/15071834/26281

DOI :

10.17721/1812-5409.2019/3.4

Журнал :

Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics

Випуск :

3

ISSN :

1812-5409

Початкова сторінка :

32

Кінцева сторінка :

36

Цитування :

[APA 7] Batyuk, L. V., & Kizilova, N. M. (2019). Maghetohydrodynamic flows of micro/nano fluids through thin capillaries. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, (3), 32–36. https://doi.org/10.17721/1812-5409.2019/3.4

[ДСТУ] Batyuk L. V., Kizilova N. M. Maghetohydrodynamic flows of micro/nano fluids through thin capillaries. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics. 2019. no. 3. P. 32—36. DOI: 10.17721/1812-5409.2019/3.4 (date of access: 25.07.2026).

Steady magnetohydrodynamic (MHD) flows of suspensions of conducting micro/nanoparticles through a thin tube of a circular cross-section in a transverse constant magnetic field driven by a constant pressure drops at the ends of the tube is studied. The governing MHD system of equations for a viscous incompressible micro/nanofluid in the non-induction approximation is solved with the second order velocity slip boundary condition at the wall of the tube. The material parameters of the fluid are considered as nonlinear functions of the particle concentration according to the mixture models of suspensions and electric conductivity theory. The velocity field, pressure, electric current and magnetic field have been computed as series expansions. The influence of two non-dimensional slip coefficients of the flow rate and wall shear stress is studied. Optimal concentrations of the micro/nanoparticles in the suspensions have been computed from the minimum entropy production condition for different slip conditions, material parameters, magnetic fields and flow regimes (Reynolds and Hartmann numbers).Key words: Microfluids, Nanofluids, Magnetohydrodynamics, Steady flows.Pages of the article in the issue: 32 - 36Language of the article: English

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Завантажити

Формат :

Adobe PDF

Розмір :

1.06 MB

Контрольна сума :

(MD5):f7d643b79cf0bc8a8681a677b72981eb

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