2009/09/16 by Corina Fetecǎu, Corina Fetecau, C. Fetecau +5 · 1 citation
Chemical Engineering · Engineering · Mathematics · Physics and Astronomy · #Boundary layer #Boundary value problem #Classical mechanics #Dissipation #Engineering #Flow (mathematics) #Fluid Dynamics and Turbulent Flows #Fluid motion #Limiting #Mathematical analysis #Mathematics #Mechanics #Motion (physics) #Nanofluid Flow and Heat Transfer #Newtonian fluid #Non-Newtonian fluid #Physics #Rheology and Fluid Dynamics Studies #Shear flow #Shear stress #Stress (linguistics) #Thermodynamics #math-ph #math.MP
paper · pdf · doi:10.1007/s00033-010-0098-8
published in Zeitschrift für angewandte Mathematik und Physik 61(6), 1085-1095 (Birkhäuser)
arxiv created 2009/09/16 · openalex publication_date 2010/08/27 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
Exact and approximate expressions are established for dissipation, the power of the shear stress at the wall and the boundary layer thickness corresponding to the motion of an Oldroyd-B fluid induced by a constantly accelerating plate. The similar expressions for Maxwell, Newtonian and second grade fluids, performing the same motion, are obtained as limiting cases of our general results. The specific features of the four models are emphasized by means of the asymptotic approximations.