I was searching for an expression for the bulk modulusBBfor a gas that obeys the van der Waals equation ("van der Waals gas" from now on). Since for an ideal gas we have thatB=γPB=γP(whereγγis the adiabatic index andPPthe pressure), I thought that I could arrive to so...
The isothermal Bulk modulus of an ideal gas at pressure P is View Solution A uniform cube is subjected to volume compression. If each side is decreased by 1 % then bulk strain is View Solution A uniform cube is subjected to volume compression. If each side is decreased by 2% , then bu...
For example, for an ideal gas of non-interacting atoms the free energy is given by [2,10] (47)Fid[ρ]=β−1∫drρ(r){ln[Λ3ρ(r)]−1}, and Eq. (45) yields the familiar Boltzmann distribution (48)Λ3ρo(r)=exp{β[μ−Vext(r)]}=exp[βu(r).] For many-body ...
Substituting for μ from Eq. (7.36) and rearranging, we get, (7.41a)K=ρVp2−43ρVs2 As explained in Section Evaluation of representative grain-shear modulus above, we know the value of μgrain at this point. To obtain the solid phase bulk modulus of an ideal Biot solid which would ...
Test results indicated that the substitution of quartz sand by barite sand had no apparent influence on the uniaxial compressive strength and elastic modulus of the specimens but can increase the bulk density, according to the proportional coarse aggregate content. An ideal linearity was found in ...
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The parameters of coal and gas for simulation are shown in Table 2. Table 2. Property parameters of coal and gas. ParameterValue Young’s modulus of coal, E(MPa) 5100 Possion’s ratio of coal, ν 0.39 Density of coal, ρc(kg/m3) 1.25 × 103 Density of methane, ρg(kg/m3) 1.784...
where H0 and k are empirical constants; μB is the shear modulus and b is the Burgers vector of the binder phase, whereas λ′ relates to the mlibp λ and the contiguity G of the carbide crystals through the following relation that excludes the contiguity from the stereological Eqn (1)....
Within this framework, the elastic bulk’s response is captured by Ψ∗ depending on additional material parameters — for instance, on the Young’s modulus and the Poisson ratio. For this reason, parameter c seems to be unnecessary. However, this is not the case, since c serves two ...