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  2. Helmholtz's theorems - Wikipedia

    en.wikipedia.org/wiki/Helmholtz's_theorems

    Helmholtz's second theorem A vortex line cannot end in a fluid; it must extend to the boundaries of the fluid or form a closed path. Helmholtz's third theorem A fluid element that is initially irrotational remains irrotational. Helmholtz's theorems apply to inviscid flows.

  3. Volume viscosity - Wikipedia

    en.wikipedia.org/wiki/Volume_viscosity

    It has dimensions (mass / (length × time)), and the corresponding SI unit is the pascal-second (Pa·s). Like other material properties (e.g. density, shear viscosity, and thermal conductivity) the value of volume viscosity is specific to each fluid and depends additionally on the fluid state, particularly its temperature and pressure.

  4. Course of Theoretical Physics - Wikipedia

    en.wikipedia.org/wiki/Course_of_Theoretical_Physics

    Fluid Mechanics. Vol. 6 (2nd ed.). Butterworth-Heinemann. ISBN 978-0-08-033933-7. Volume 6 covers fluid mechanics in a condensed but varied exposition, from ideal to viscous fluids, includes a chapter on relativistic fluid mechanics, and another on superfluids.

  5. List of equations in fluid mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in_fluid...

    List of equations in fluid mechanics. 1 language. ... Essential Principles of Physics (2nd ed.). John Murray. ISBN ...

  6. D'Alembert's paradox - Wikipedia

    en.wikipedia.org/wiki/D'Alembert's_paradox

    A physical paradox indicates flaws in the theory.. Fluid mechanics was thus discredited by engineers from the start, which resulted in an unfortunate split – between the field of hydraulics, observing phenomena which could not be explained, and theoretical fluid mechanics explaining phenomena which could not be observed – in the words of the Chemistry Nobel Laureate Sir Cyril Hinshelwood.

  7. Shallow water equations - Wikipedia

    en.wikipedia.org/wiki/Shallow_water_equations

    Here η is the total fluid column height (instantaneous fluid depth as a function of x, y and t), and the 2D vector (u,v) is the fluid's horizontal flow velocity, averaged across the vertical column. Further g is acceleration due to gravity and ρ is the fluid density. The first equation is derived from mass conservation, the second two from ...

  8. Turbulence modeling - Wikipedia

    en.wikipedia.org/wiki/Turbulence_modeling

    In computational fluid dynamics, the k–omega (k–ω) turbulence model [10] is a common two-equation turbulence model that is used as a closure for the Reynolds-averaged Navier–Stokes equations (RANS equations). The model attempts to predict turbulence by two partial differential equations for two variables, k and ω, with the first ...

  9. Rayleigh number - Wikipedia

    en.wikipedia.org/wiki/Rayleigh_number

    In fluid mechanics, the Rayleigh number (Ra, after Lord Rayleigh [1]) for a fluid is a dimensionless number associated with buoyancy-driven flow, also known as free (or natural) convection. [2] [3] [4] It characterises the fluid's flow regime: [5] a value in a certain lower range denotes laminar flow; a value in a higher range, turbulent flow.

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