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  2. Constitutive equation - Wikipedia

    en.wikipedia.org/wiki/Constitutive_equation

    The first constitutive equation (constitutive law) was developed by Robert Hooke and is known as Hooke's law.It deals with the case of linear elastic materials.Following this discovery, this type of equation, often called a "stress-strain relation" in this example, but also called a "constitutive assumption" or an "equation of state" was commonly used.

  3. Pressure-wind relationship calculations for tropical cyclones

    en.wikipedia.org/wiki/Pressure-wind_relationship...

    The interchangeability of pressure and wind allows for the two to be used to give equivalencies for the public. [7] Pressure-wind relations can be used when information is incomplete, forcing forecasters to rely on the Dvorak Technique. [6] Some storms may have particularly high or low pressures that do not match with their wind speed.

  4. Tait equation - Wikipedia

    en.wikipedia.org/wiki/Tait_equation

    where is the hydrostatic pressure in addition to the atmospheric one, is the volume at atmospheric pressure, is the volume under additional pressure , and , are experimentally determined parameters. A very detailed historical study on the Tait equation with the physical interpretation of the two parameters A {\displaystyle A} and Π ...

  5. Derivation of the Navier–Stokes equations - Wikipedia

    en.wikipedia.org/wiki/Derivation_of_the_Navier...

    For completion, one must make hypotheses on the forms of τ and p, that is, one needs a constitutive law for the stress tensor which can be obtained for specific fluid families and on the pressure. Some of these hypotheses lead to the Euler equations (fluid dynamics) , other ones lead to the Navier–Stokes equations.

  6. Pressure coefficient - Wikipedia

    en.wikipedia.org/wiki/Pressure_coefficient

    In fluid dynamics, the pressure coefficient is a dimensionless number which describes the relative pressures throughout a flow field. The pressure coefficient is used in aerodynamics and hydrodynamics. Every point in a fluid flow field has its own unique pressure coefficient, C p.

  7. Turbulence modeling - Wikipedia

    en.wikipedia.org/wiki/Turbulence_modeling

    It is a two-equation model which gives a general description of turbulence by means of two transport equations (PDEs). The original impetus for the K-epsilon model was to improve the mixing-length model, as well as to find an alternative to algebraically prescribing turbulent length scales in moderate to high complexity flows. k–ω (k–omega)

  8. Darcy's law - Wikipedia

    en.wikipedia.org/wiki/Darcy's_law

    Darcy's law is an equation that describes the flow of a fluid through a porous medium and through a Hele-Shaw cell.The law was formulated by Henry Darcy based on results of experiments [1] on the flow of water through beds of sand, forming the basis of hydrogeology, a branch of earth sciences.

  9. Newtonian fluid - Wikipedia

    en.wikipedia.org/wiki/Newtonian_fluid

    This constitutive equation is also called the Newton law of viscosity. The total stress tensor σ {\displaystyle {\boldsymbol {\sigma }}} can always be decomposed as the sum of the isotropic stress tensor and the deviatoric stress tensor ( σ ′ {\displaystyle {\boldsymbol {\sigma }}'} ):