UNSTEADY FLOW OF AN ELECTRICALLY CONDUCTING BINGHAM FLUID IN A PLANE MAGNETOHYDRODYNAMIC CHANNEL

2019 ◽  
Vol 60 (3) ◽  
pp. 432-437
Author(s):  
V. I. Vishnyakov ◽  
S. M. Vishnyakova ◽  
P. V. Druzhinin ◽  
L. D. Pokrovskii

2016 ◽  
Vol 685 ◽  
pp. 23-26 ◽  
Author(s):  
Dmitry Tereshko

This work is devoted to control problem for unsteady flow of heat and electrically conducting fluid at small magnetic Reynolds numbers. This problem is connected with vortex reduction using temperature control on some parts of the boundary. Numerical algorithm based on finite-dimensional minimization is proposed and numerical results are discussed.


2016 ◽  
Vol 57 (4) ◽  
pp. 596-602 ◽  
Author(s):  
H. A. Attia ◽  
W. Abbas ◽  
A. L. Aboul-Hassan ◽  
M. A. M. Abdeen ◽  
M. A. Ibrahim

Geofluids ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Bo Ren ◽  
Lianguo Wang ◽  
Hao Fan ◽  
Ke Ding ◽  
Kai Wang ◽  
...  

It is of great significance for the improvement of grouting technology and engineering practice to master the flow law of grout between parallel plates. However, the traditional calculation model ignores the influence of the inertia term and only considers the stable flow of slurry, so there is a big error in some cases. It is difficult to solve the motion equation of a Bingham fluid considering the inertial force term directly. Combined with the relationship between the steady-state flow equation of a Bingham fluid and a Newtonian fluid, the approximate unsteady-state flow equation of a Bingham fluid suitable for describing slurry flow is constructed. In addition, according to the unsteady flow equation, the relationship between the time and distance of slurry flow in parallel plate fractures can be obtained, and the simplified conditions of the Bingham fluid unsteady flow model are given. Finally, the accuracy of the flow equations and the simplified conditions are verified by experiments and numerical calculations.


2018 ◽  
Vol 23 (3) ◽  
pp. 623-633
Author(s):  
M. Guria

Abstract The unsteady flow of a viscous incompressible electrically conducting fluid due to non-coaxial rotations of a porous disk subjected to a periodic suction and the fluid at infinity in the presence of applied transverse magnetic field has been studied. The fluid at infinity passes through a fixed point. The velocity field, shear stresses are obtained in a closed form.


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