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2 results

  • 5 - Inviscid Flow and Potential Flow Method

  • Hongwei Wang, Beihang University, Beijing
  • Book:
    A Guide to Fluid Mechanics
    Published online:
    16 March 2023
    Print publication:
    23 March 2023, pp 108-127

  • Summary

    This chapter introduces inviscid flow and potential flow method. Characteristics of inviscid flow is introduced and the rationality of neglecting viscosity in many actual flow cases is discussed. Then the characteristics of rotational flow for inviscid flow is discussed. The three factors that may cause a fluid to change from irrotational to rotational are enumerated and explained, namely the viscous force, baroclinic flow, and non-conservative body force. For irrotational flow, velocity potential is introduced and several elementary flows are taken as an example to illustrate the computational methods for planar potential flow theory. In the end, complex potential is briefly introduced.

  • Appendix A: - Introduction to Potential Flow Theory

  • Bernard Molin, École Centrale de Marseille and NTNU: Norwegian University of Science and Technology
  • Book:
    Offshore Structure Hydrodynamics
    Published online:
    31 January 2023
    Print publication:
    05 January 2023, pp 373-388

  • Summary

    The basic equations in fluid mechanics are briefly recalled, starting from the Navier–Stokes equations for an incompressible fluid. Potential flow theory is quickly introduced, together with the generic boundary value problem satisfied by the velocity potential. Applications are made to a few basic cases, such as uniform accelerated flow around a cylinder and the waves generated by a piston wavemaker.