This chapter derives the Navier‐Stokes equations because they are so fundamental to fluid mechanics. Afterwards, it simplifies the equations and explains some cases that are relevant to ship hydrodynamics. The Navier‐Stokes equations express the conservation of momentum principle and represent Newton's second law applied to a continuum. Newton's second law states that the momentum of a body will change only if an external force acts on it. Like mass, momentum is a conserved quantity. Changes in momentum may be caused by the flow of particles across the boundaries of a control volume (momentum transport) or by external forces acting on the control volume, which cause the fluid particles to accelerate, decelerate, or change direction. Substituting the stress‐rate of change of strain relationships together with Stokes' hypothesis into the conservation of momentum equations yields the Navier‐Stokes equations for an isotropic Newtonian fluid in their conservative, differential form, which describe viscous flows.
Navier‐Stokes Equations
2019-05-06
12 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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