Poiseuille flow through n-dimensional hypercircular and hyperelliptic cylinders

  • Howard Brenner
Brief Reports


Results are given for unidirectional Poiseuille flows through hypercircular and hyperellipticn-dimensional cylinders. These agree with the known solutions forn=2 and 3, corresponding, respectively, to flow between two flat parallel plates and through a circular or elliptic cylinder.


Mathematical Method Parallel Plate Poiseuille Flow Elliptic Cylinder Flat Parallel Plate 
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Für geradlinige Poiseuille-Strömung durchn-dimensionale Zylinder mit hyper-kreisförmigen und hyper-elliptischen Querschnitten werden Resultate angegeben. Diese stimmen mit den bekannten Lösungenn=2 undn=3 überein, d. h. mit der Strömung zwischen zwei parallelen Platten und in Zylindern mit kreisförmigen und elliptischen Querschnitten.


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Copyright information

© Birkhäuser Verlag 1981

Authors and Affiliations

  • Howard Brenner
    • 1
  1. 1.Dept. of Chemical EngineeringUniversity of RochesterRochesterUSA

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