6533b7dcfe1ef96bd1271e94
RESEARCH PRODUCT
Three-dimensional linear stability analysis of the flow in a liquid spherical droplet driven by an alternating magnetic field
Victor ShatrovJānis PriedeGunter Gerbethsubject
Fluid Flow and Transfer ProcessesPhysicsCondensed matter physicsMechanical EngineeringComputational MechanicsReynolds numberMagnetic Reynolds numberCondensed Matter PhysicsMagnetic fieldPhysics::Fluid Dynamicssymbols.namesakeFlow (mathematics)Mechanics of MaterialssymbolsMagnetic pressureMagnetohydrodynamicsMagnetic levitationNumerical stabilitydescription
The paper presents a numerical stability analysis of the flow driven by an alternating (AC) magnetic field in an electromagnetically levitated liquid metal droplet. The basic axisymmetric flow is found to become unstable at Reynolds numbers in the order of 100. The critical Reynolds number Rec and the corresponding most unstable azimuthal wave number m are found for several configurations of the magnetic field depending on the skin-depth d. For a uniform external AC magnetic field the azimuthal wave number of the most unstable mode is m=3. An additional steady (DC) magnetic field imposed along the axis of symmetry increases the stability of the flow.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-03-01 | Physics of Fluids |