Akademik Veri Yönetim Sistemi
MAGNETOHYDRODYNAMICS, cilt.58, sa.4, ss.555-562, 2022 (SCI-Expanded)
The slow translation of a highly-slipping sphere with radius a in an unbounded viscous conducting Newtonian liquid with constant viscosity mu and conductivity sigma is investigated. The liquid is subject to a steady uniform magnetic field B parallel to the sphere velocity, flows about the sphere and exerts on its a drag force. The resulting axisymmetric MHD flow is expanded as a serie of fundamental flows earlier gained elsewhere [1, 2] for a different Oseen flow problem. The coefficients entering in the serie are determined by enforcing the impermeability and zero tangent stress conditions on the sphere surface, As a result, the highly-slipping sphere drag coefficient C-d is numerically obtained and its sensitivity to the problem Hartmann number Ha = a|B|/root mu/sigma is examined. Moreover, a polynomial handy formula for C-d is proposed for Ha <= O(1) and the computed velocity patterns are presented and discussed for Ha=1,10.