Axisymmetric Potential Problems

  • A. A. Bakr
Part of the Lecture Notes in Engineering book series (LNENG, volume 14)


Potential problems governed by either Laplace or Poisson type differential equations form an important class of engineering problems, such as torsion, ideal fluid flow, diffusion and steady-state heat conduction. The use of numerical techniques such as the finite difference method and the FEM is now widespread in such problems. This chapter presents the BIE analytical and numerical formulations for axisymmetric potential problems governed by Laplace’s equation. The differential equations applicable throughout the solution domain are transformed into integral equations over the boundary, which is discretised into isoparametric quadratic line elements.


Hollow Sphere Hollow Cylinder Potential Gradient Solution Domain Reactor Pressure Vessel 
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Copyright information

© Springer-Verlag Berlin, Heidelberg 1986

Authors and Affiliations

  • A. A. Bakr
    • 1
  1. 1.Department of Mechanical and Computer Aided EngineeringNorth Staffordshire PolytechnicStaffordUK

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