2010/10/31 by Fernando Haas, F. Haas, Haas, F. +2
Engineering · Mathematics · Physics and Astronomy · #Differential Equations and Numerical Methods #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Nanofluid Flow and Heat Transfer #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1011.0198
Want to completely reformulate according to a different viewpoint
openalex publication_date 2010/10/31 · arxiv created 2013/02/22 · arxiv updated 2015/03/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A systematic search for the Lie point symmetries admitted by the steady hydromagnetic two-dimensional incompressible viscous flow boundary layer equation and associated boundary conditions is performed. Unlike previous works, the specific forms of the external velocity and transverse magnetic fields are not postulated from the very beginning. In this way a whole new class of similarity reductions for the problem is derived, for applied fields having an exponential nature. The corresponding hydromagnetic Falkner-Skan equation is numerically solved for different velocity profiles at the wall, considering stretching, expansion, injection or suction. For intense magnetic fields a series solution is derived and used to investigate the behaviour of the skin friction with respect to the initial conditions for both expanding and converging flows.