Expansion coefficients cubic

B = cubical expansion coefficient per degree F for the liquid at the expected temperature. For values see specific liquid data or see table below for typical values. 

B = cubical expansion coefficient per °F of liquid at expected temperature (see tabulation in text)... 

The cubical expansion coefficient generally may be assumed to be approximately 1 x 10 3 cm3/°K. 

Obama, M., et al., Densities, Molar Volumes, and Cubic Expansion Coefficients of 78 Aliphatic Ethers. J. Chem. Eng. Data, 1985 30, 1-5. 

Table 1, taken from the ref, lists the measured linear (a) and cubic (0) expansion coefficients of expls and binders along with their glass transition temps and pressed densities. The cubic expansion coefficients (0) can be calcd for isotropic materials as J3 = 3a... 

The following symbols are used in the definitions of the dimensionless quantities mass (m), time (t), volume (V area (A density (p), speed (u), length (/), viscosity (rj), pressure (p), acceleration of free fall (p), cubic expansion coefficient (a), temperature (T surface tension (y), speed of sound (c), mean free path (X), frequency (/), thermal diffusivity (a), coefficient of heat transfer (/i), thermal conductivity (/c), specific heat capacity at constant pressure (cp), diffusion coefficient (D), mole fraction (x), mass transfer coefficient (fcd), permeability (p), electric conductivity (k and magnetic flux density ( B) ... 

Shah et al. carried out a Monte-Carlo simulation in the isothermal-isobaric (NPT) ensemble of [C4mim][PF6] [12]. The authors calculated the molar volume, cohesive energy density, isothermal compressibility, cubic expansion coefficient, and liquid structure as a function of temperature and pressure. A united atom force field was developed using a combination of ab initio calculations and literature parameter values were also developed. Calculated molar volumes were within 5% of experimental values, and a reasonable agreement was obtained between calculated and experimental values of the isothermal compressibility and cubic expansion coefficient. [PF6] anions were found to cluster preferentially in two favorable regions near the cation, namely around the C2 carbon atom, both below and above the plane of the imidazole ring [12],... 

Grashof number (Gr) - A dimensionless quantity used in fluid mechanics, defined by Gr = FgaATp /rf, where T is temperature, p is density, I is length, q is viscosity, a is cubic expansion coefficient, and is acceleration of gravity. [2]... 

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