Laminar Two-Dimensional Flow

  • Günter BrennEmail author
Part of the Mathematical Engineering book series (MATHENGIN)


The present chapter discusses flows through structures with solid walls and constant flow cross sections, and flows outside the surfaces of solid bodies in motion, allowing for the formation of two-dimensional velocity fields. The flows may be steady or unsteady. We discuss a selection of classical flows with generic relevance for technical applications, as represented in other books as well [3, 9, 11, 15]. We add the discussion of a flow relevant for the biomechanics of brain injuries. In all cases we start from the stream functions derived in the preceding chapter.


Flow Field Velocity Profile Stream Function Pipe Flow Poiseuille Flow 
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© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Institute of Fluid Mechanics and Heat TransferGraz University of TechnologyGrazAustria

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