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  2. Helmholtz's theorems - Wikipedia

    en.wikipedia.org/wiki/Helmholtz's_theorems

    A fluid element that is initially irrotational remains irrotational. Helmholtz's theorems apply to inviscid flows. In observations of vortices in real fluids the strength of the vortices always decays gradually due to the dissipative effect of viscous forces. Alternative expressions of the three theorems are as follows:

  3. Hamiltonian fluid mechanics - Wikipedia

    en.wikipedia.org/wiki/Hamiltonian_fluid_mechanics

    Take the simple example of a barotropic, inviscid vorticity-free fluid. Then, the conjugate fields are the mass density field ρ and the velocity potential φ. The Poisson bracket is given by {(), ()} = and the Hamiltonian by:

  4. Pressure coefficient - Wikipedia

    en.wikipedia.org/wiki/Pressure_coefficient

    The pressure coefficient can be estimated for irrotational and isentropic flow by introducing the potential and the perturbation potential , normalized by the free-stream velocity Φ = u ∞ x + ϕ ( x , y , z ) {\displaystyle \Phi =u_{\infty }x+\phi (x,y,z)}

  5. Euler equations (fluid dynamics) - Wikipedia

    en.wikipedia.org/wiki/Euler_equations_(fluid...

    Thus for an incompressible inviscid fluid the specific internal energy is constant along the flow lines, also in a time-dependent flow. The pressure in an incompressible flow acts like a Lagrange multiplier , being the multiplier of the incompressible constraint in the energy equation, and consequently in incompressible flows it has no ...

  6. Potential flow around a circular cylinder - Wikipedia

    en.wikipedia.org/wiki/Potential_flow_around_a...

    In mathematics, potential flow around a circular cylinder is a classical solution for the flow of an inviscid, incompressible fluid around a cylinder that is transverse to the flow. Far from the cylinder, the flow is unidirectional and uniform. The flow has no vorticity and thus the velocity field is irrotational and can be modeled as a ...

  7. Potential flow - Wikipedia

    en.wikipedia.org/wiki/Potential_flow

    In fluid dynamics, potential flow or irrotational flow refers to a description of a fluid flow with no vorticity in it. Such a description typically arises in the limit of vanishing viscosity , i.e., for an inviscid fluid and with no vorticity present in the flow.

  8. Inviscid flow - Wikipedia

    en.wikipedia.org/wiki/Inviscid_flow

    In fluid dynamics, inviscid flow is the flow of an inviscid fluid which is a fluid with zero viscosity. [1] The Reynolds number of inviscid flow approaches infinity as the viscosity approaches zero. When viscous forces are neglected, such as the case of inviscid flow, the Navier–Stokes equation can be simplified to a form known as the Euler ...

  9. Airy wave theory - Wikipedia

    en.wikipedia.org/wiki/Airy_wave_theory

    If the free surface elevation η(x,t) was a known function, this would be enough to solve the flow problem. However, the surface elevation is an extra unknown, for which an additional boundary condition is needed. This is provided by Bernoulli's equation for an unsteady potential flow. The pressure above the free surface is assumed to be constant.