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  2. Thermal equation of state of solids - Wikipedia

    en.wikipedia.org/wiki/Thermal_equation_of_state...

    To distinguish these two thermal expansion equations of state, the latter one is called pressure-dependent thermal expansion equation of state. To deveop the pressure-dependent thermal expansion equation of state, in an compression process at room temperature from (V 0, T 0, P 0) to (V 1, T 0,P 1), a general form of volume is expressed as

  3. Volume viscosity - Wikipedia

    en.wikipedia.org/wiki/Volume_viscosity

    This coefficient of proportionality is called volume viscosity. Common symbols for volume viscosity are ζ {\displaystyle \zeta } and μ v {\displaystyle \mu _{v}} . Volume viscosity appears in the classic Navier-Stokes equation if it is written for compressible fluid , as described in most books on general hydrodynamics [ 6 ] [ 1 ] and acoustics.

  4. Volume correction factor - Wikipedia

    en.wikipedia.org/wiki/Volume_Correction_Factor

    In thermodynamics, the Volume Correction Factor (VCF), also known as Correction for the effect of Temperature on Liquid (CTL), is a standardized computed factor used to correct for the thermal expansion of fluids, primarily, liquid hydrocarbons at various temperatures and densities. [1]

  5. Van der Waals equation - Wikipedia

    en.wikipedia.org/wiki/Van_der_Waals_equation

    The two first partial derivatives of the vdW equation are | = = | = + = where = is the isothermal compressibility (a measure of the relative increase of volume from an increase of pressure, at constant temperature), and = is the coefficient of thermal expansion (a measure of the relative increase of volume from an increase of temperature, at ...

  6. Thermal expansion - Wikipedia

    en.wikipedia.org/wiki/Thermal_expansion

    A number of materials contract on heating within certain temperature ranges; this is usually called negative thermal expansion, rather than "thermal contraction".For example, the coefficient of thermal expansion of water drops to zero as it is cooled to 3.983 °C (39.169 °F) and then becomes negative below this temperature; this means that water has a maximum density at this temperature, and ...

  7. Compressibility - Wikipedia

    en.wikipedia.org/wiki/Compressibility

    where γ is the heat capacity ratio, α is the volumetric coefficient of thermal expansion, ρ = N/V is the particle density, and = (/) is the thermal pressure coefficient. In an extensive thermodynamic system, the application of statistical mechanics shows that the isothermal compressibility is also related to the relative size of fluctuations ...

  8. Grashof number - Wikipedia

    en.wikipedia.org/wiki/Grashof_number

    The in the equation above, which represents specific volume, is not the same as the in the subsequent sections of this derivation, which will represent a velocity. This partial relation of the volume expansion coefficient, β {\displaystyle \mathrm {\beta } } , with respect to fluid density, ρ {\displaystyle \mathrm {\rho } } , given constant ...

  9. Maxwell relations - Wikipedia

    en.wikipedia.org/wiki/Maxwell_relations

    is pressure, temperature, volume, entropy, coefficient of thermal expansion, compressibility, heat capacity at constant volume, heat capacity at constant pressure. Maxwell's relations are a set of equations in thermodynamics which are derivable from the symmetry of second derivatives and from the definitions of the thermodynamic potentials .

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