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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. Potential flow around a circular cylinder - Wikipedia

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

    Having obtained the solution for V and p, the consistency of the pressure gradient with the accelerations can be noted. The dynamic pressure at the upstream stagnation point has value of ⁠ 1 / 2 ⁠ ρU 2. a value needed to decelerate the free stream flow of speed U. This same value appears at the downstream stagnation point, this high ...

  5. Kutta condition - Wikipedia

    en.wikipedia.org/wiki/Kutta_condition

    In irrotational, inviscid, incompressible flow (potential flow) over an airfoil, the Kutta condition can be implemented by calculating the stream function over the airfoil surface. [ 8 ] [ 9 ] The same Kutta condition implementation method is also used for solving two dimensional subsonic (subcritical) inviscid steady compressible flows over ...

  6. 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 ...

  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.

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