Compression of Mercury at High Pressure

Davis, L. A.; Gordon, Robert B.

doi:10.1063/1.1841095

Cited by 211 publications

(131 citation statements)

References 36 publications

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“…(To avoid further misunderstanding in this study we use α T for the thermal expansion coefficient and α for vapour void fraction.) Polynomial fits for the temperature dependence of experimental data of heat capacity c p and expansion coefficient α T [17](or [8]) help us to calculate the internal energy of the liquid state. Finally, the internal energy of the corresponding gas phase has to be determined.…”

Section: Theory Of Two-phase Flowmentioning

confidence: 99%

Two-phase flow model for energetic proton beam induced pressure waves in mercury target systems in the planned European Spallation Source

et al. 2008

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Abstract. Two-phase flow calculations are presented to investigate the thermo-hydraulical effects of the interaction between 300 kJ proton pulses (2 ms long, 1.3 GeV) with a closed mercury loop which can be considered as a model system of the target of the planned European Spallation Source(ESS) facility. The two-fluid model consists of six first-order partial differential equations that present one dimensional mass momentum and energy balances for mercury vapour and liquid phases are capable to describe quick transients like cavitation effects or shock waves. The absorption of the proton beam is represented as instantaneous heat source in the energy balance equations. Densities and internal energies of the mercury liquid-vapour system are calculated from van der Waals equation, and the general method how to obtain such properties is also presented. A second order accurate high-resolution shock-capturing numerical scheme is applied with different kinds of limiters in the numerical calculations. Our analysis show that even 75 degree temperature heat shocks cannot cause considerable cavitation effects in mercury in 2ms long pulses PACS. 47.55Bx Cavitation, -47.55Kf Multiphase and particle-laden flows -47.90a+ Other topics in fluid dynamics

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Section: Theory Of Two-phase Flowmentioning

confidence: 99%

Two-phase flow model for energetic proton beam induced pressure waves in mercury target systems in the planned European Spallation Source

et al. 2008

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“…Mercury is a very suitable system to this scope by virtue of its very low melting point and high compressibility which allow to probe large T/T m and P/P 0 conditions, where T m is the melting temperature and P 0 is the ambient pressure. Nevertheless, data on liquid mercury under high compression conditions are scarce and limited to 1.2 GPa, 12,13 due to the technical difficulty to measure sound velocity and density at high pressure. To overcome this lack, numerous analytical representations of the equation of state (EOS) have been proposed.…”

Section: Introductionmentioning

confidence: 99%

Equation of state of liquid mercury to 520 K and 7 GPa from acoustic velocity measurements

Ayrinhac

Gauthier

Bove

et al. 2014

The Journal of Chemical Physics

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The acoustic velocity, refractive index, and equation of state of liquid ammonia dihydrate under high pressure and high temperature J. Chem. Phys. 137, 104504 (2012) Ultrafast acoustics measurements on liquid mercury have been performed at high pressure and temperature in a diamond anvil cell using picosecond acoustic interferometry. We extract the density of mercury from adiabatic sound velocities using a numerical iterative procedure. We also report the pressure and temperature dependence of the thermal expansion, isothermal and adiabatic compressibility, bulk modulus, and pressure derivative of the latter up to 7 GPa and 520 K. We finally show that the sound velocity follows a scaling law as a function of density in the overall measured metallic state.

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“…One uses the original Eulerian strain or interatomic potential EOSs and refines their parameters in order to find a better fit to experiments. [31][32][33][34] The other approach is to find a mathematical function which gives the best fit to the experiments. [35][36][37][38] Roy and Roy 39 gave a good review and evaluate the fittings of the currently used EOSs.…”

Section: Empirical Eossmentioning

confidence: 99%

Semiempirical pressure-volume-temperature equation of state: MgSiO3 perovskite is an example

Garai

2007

Journal of Applied Physics

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Simple general formula describing the pressure-volume-temperature relationships ͑p-V-T͒ of elastic solids is constructed from theoretical considerations. The semiempirical equation of state ͑EOS͒ was tested to experiments of perovskite 0 -109 GPa and 293-2000 K. The parameters providing the best fit are B 0 = 267.5 GPa, V 0 = 24.284 cm 3 , ␣ 0 = 2.079ϫ 10 −5 K −1 , ‫ץ‬B 0 / ‫ץ‬p = 1.556, and ‫␣ץ‬ 0 / ‫ץ‬p = −1.098ϫ 10 −7 K −1 GPa −1 . The root-mean-square deviations ͑RMSDs͒ of the residuals are 0.043 cm 3 , 0.79 GPa, and 125 K for the molar volume, pressure, and temperature, respectively. These RMSD values are in the range of the uncertainty of the experiments, indicating that the five-parameter semiempirical EOS correctly describes the p-V-T relationships of perovskite. Separating the experiments into 200 K ranges the semiempirical EOS was compared to the most widely used finite strain, interatomic potential, and empirical isothermal EOSs such as the Birch-Murnaghan, the Vinet, and the Roy-Roy, respectively. Correlation coefficients, RMSDs of the residuals, and Akaike Information Criteria were used for evaluating the fitting. Based on these fitting parameters under pure isothermal conditions the semiempirical p-V EOS is slightly weaker than the Birch-Murnaghan and Vinet EOSs; however, the semiempirical p-V-T EOS is superior in every temperature range to all of the investigated conventional isothermal EOSs.

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Compression of Mercury at High Pressure

Cited by 211 publications

References 36 publications

Two-phase flow model for energetic proton beam induced pressure waves in mercury target systems in the planned European Spallation Source

Two-phase flow model for energetic proton beam induced pressure waves in mercury target systems in the planned European Spallation Source

Equation of state of liquid mercury to 520 K and 7 GPa from acoustic velocity measurements

Semiempirical pressure-volume-temperature equation of state: MgSiO3 perovskite is an example

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