As an example of potential flow, this chapter solves the basic equations that describe the fluid flow around an infinitely long cylinder oriented with its axis perpendicular to the flow. It solves the boundary value problem for the cylinder in parallel flow, and derives the velocity potential. The chapter also explains the resulting velocity and pressure distributions. It uses the pressure distribution on the cylinder surface to compute the resultant pressure force. This problem is also known as d'Alembert's paradox because, in contrast to all practical experience, the computation will find a net zero force in all directions. Of course, pressure forces do not vanish for all potential flows. The picture changes already when one considers, for example, the unsteady potential flow around a cylinder moving through the fluid at rest. Although this thematically belongs to seakeeping and maneuvering, it is shown that the resultant pressure force gives rise to the so called added mass.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Ideal Flow Around A Long Cylinder


    Contributors:

    Published in:

    Publication date :

    2019-05-06


    Size :

    16 pages




    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English





    Electromagnetically Driven Flow Around a Cylinder

    Unger, Yeshajahu / Branover, Herman | AIAA | 1993


    Unsteady flow around an ogive cylinder

    GAD-EL-HAK, M. / HO, C.-M. | AIAA | 1986


    Flow around a circular cylinder with cooling

    Raghunathan, S. / Said, B. | AIAA | 1994


    Flow Around a Circular Cylinder with Cooling

    Raghunathan, S. / Said, B. / AIAA | British Library Conference Proceedings | 1994