Magnetic effect on the formation of longitudinal vortices in a rotating laminar boundary layer

• Published in: International journal for numerical methods in fluids Vol. 51; no. 4; pp. 425 - 438
• Main Author: Lin, Ming-Han
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 10.06.2006; Wiley
• Subjects: Computational methods in fluid dynamics; Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); Laminar boundary layers; Laminar flows; longitudinal vortices; magnetic effect; Physics; rotation; Stability of laminar flows; vortex instability; Digital simulation; rotation; Magnetic field effects; vortex instability; Rotating system; Laminar flow; longitudinal vortices; magnetic effect; Vortices; Hydrodynamic instability; Conducting fluid; Boundary layers; Finite difference method
• ISSN: 0271-2091; 1097-0363
• DOI: 10.1002/fld.1139

This paper presents a numerical study of magnetic effect on the formation of longitudinal vortices in a rotating laminar boundary layer. The criterion for the position marking the onset of longitudinal vortices is defined in this paper. The onset position characterized by the rotational Goertler number Gδ,rot, depends on the local rotation number, Reynolds number, the magnetic field parameter, the Prandtl number and the wave number. The results show that positive rotation destabilizes the flow. The flow is found to become more unstable to the vortex mode of instability as the value of magnetic field parameter M increases. The numerical data shows good agreement with the experimental results. Copyright © 2005 John Wiley & Sons, Ltd.