more specifically,
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Isentropic bulk modulus = 1/compressibility
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Boelhouwer, 1967; Rolling and Vogt, 1960
Beta = c^2 * rho
where:
Beta = isentropic (no heat transfer = constant entropy) bulk modulus in Pascal
c = speed of sound m/s
rho = density kg/m3
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isothermal bulk modulus, Kt
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Kt = -V(partial P/partial V) at constant temp
Kt = Youngs_Modulus/3/(1-2 * Poisson_Ratio)
Kt = Ks/(1 + alpha * heat_capacity_ratio * Temp)
Kt = Cv/Cp * Ks
Kt = 1/(1/Ks + T * alpha^2/Cp)
Cp = heat capacity at constant pressure
Cv = heat capacity at constant volume
alpha = thermal expansion coefficient
Cp - Cv = V * alpha^2 * Temp * Kt
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adiabatic bulk modulus, kappa or Ks at constant entropy
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kappa Ks = -V dP/dV at constant entropy = gamma * p
kappa Ks = rho (partial P/respect to rho) at constant entropy
with adiabatic exchange of heat
rho = density
Ks = Kt (1 + alpha * gamma * T)
where alpha = coefficient of volumetric thermal expansion
gamma = Gruneisen parameter
T = temp
Ks = Cp/Cv * Kt
where
Kt = isothermal bulk modulus
Cp = heat capacity at constant pressure
Cv = heat capacity at constant volume
Going the Big Inch!