Counterflows

Dr Vladimir Shtern is an applied mathematician. He received his PhD (1970), Doctor of Sciences (1978) and Professor (1990) degrees from the Institute of Thermal Physics in Novosibirsk, Russia. He has worked at the University of Houston (1990–2003), the University of Seville (1993–1994), the DLR Institute of Fluid Mechanics in Gottingen, Germany (1994–1995), the University of Bristol (1997) and as the Senior Scientist of General Vortex Energy Inc. in Missouri City, Texas (2008–2010). He has also served as a consultant for Shell US and BP-Amoco Exploration. Dr Shtern is a specialist in fluid mechanics and heat transfer with a focus on vortex flows, thermal convection, combustion, hydrodynamic instability and bifurcation theory. His results include analytical solutions of the Navier–Stokes, Boussinesq, MHD and compressible gas equations, and explaining mechanisms of intriguing and practically important flow effects, such as multiple solutions, hysteretic transitions and vortex breakdown among others. Dr Shtern is an author of three books and more than one-hundred papers in referred archival journals.

1. Introduction; 2. Accumulation counterflows; 3. Bifurcation of swirl in conical counterflows; 4. Bifurcation of counter-swirl; 5. Conical counterflows driven by swirl; 6. Jetlike swirling counterflows; 7. Swirling counterflows in cylindrical devices; 8. Separation counterflows; 9. Temperature distribution in swirling counterflows; 10. Onset of buoyancy similarity counterflows; 11. Thermal convection counterflows; 12. Control of vortex breakdown; 13. Magnetic counterflows; 14. Stability of conical flows.