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Sang Woo Kim - One of the best experts on this subject based on the ideXlab platform.

  • Existence of a Critical point in the phase diagram of the ideal relativistic neutral Bose gas
    New Journal of Physics, 2011
    Co-Authors: Jeong-hyuck Park, Sang Woo Kim
    Abstract:

    We explore the phase transitions of the ideal relativistic neutral Bose gas confined in a cubic box, without assuming the thermodynamic limit nor continuous approximation. While the corresponding non-relativistic canonical partition function is essentially a one-variable function depending on a particular combination of temperature and volume, the relativistic canonical partition function is genuinely a two-variable function of them. Based on an exact expression of the canonical partition function, we performed numerical computations for up to hundred thousand particles. We report that if the number of particles is equal to or greater than a Critical value, which amounts to 7616, the ideal relativistic neutral Bose gas features a spinodal curve with a Critical point. This enables us to depict the phase diagram of the ideal Bose gas. The consequent phase transition is first-order below the Critical Pressure or second-order at the Critical Pressure. The exponents corresponding to the singularities are 1/2 and 2/3 respectively. We also verify the recently observed `Widom line' in the superCritical region.

  • existence of a Critical point in the phase diagram of the ideal relativistic neutral bose gas
    New Journal of Physics, 2011
    Co-Authors: Jeong-hyuck Park, Sang Woo Kim
    Abstract:

    We explore the phase transitions of the ideal relativistic neutral Bose gas confined in a cubic box, without assuming the thermodynamic limit nor continuous approximation. While the corresponding non-relativistic canonical partition function is essentially a one-variable function depending on a particular combination of temperature and volume, the relativistic canonical partition function is genuinely a two-variable function of them. Based on an exact expression for the canonical partition function, we performed numerical computations for up to 105 particles. We report that if the number of particles is equal to or greater than a Critical value, which amounts to 7616, the ideal relativistic neutral Bose gas features a spinodal curve with a Critical point. This enables us to depict the phase diagram of the ideal Bose gas. The consequent phase transition is first order below the Critical Pressure or second order at the Critical Pressure. The exponents corresponding to the singularities are 1/2 and 2/3, respectively. We also verify the recently observed 'Widom line' in the superCritical region.

Jeong-hyuck Park - One of the best experts on this subject based on the ideXlab platform.

  • Existence of a Critical point in the phase diagram of the ideal relativistic neutral Bose gas
    New Journal of Physics, 2011
    Co-Authors: Jeong-hyuck Park, Sang Woo Kim
    Abstract:

    We explore the phase transitions of the ideal relativistic neutral Bose gas confined in a cubic box, without assuming the thermodynamic limit nor continuous approximation. While the corresponding non-relativistic canonical partition function is essentially a one-variable function depending on a particular combination of temperature and volume, the relativistic canonical partition function is genuinely a two-variable function of them. Based on an exact expression of the canonical partition function, we performed numerical computations for up to hundred thousand particles. We report that if the number of particles is equal to or greater than a Critical value, which amounts to 7616, the ideal relativistic neutral Bose gas features a spinodal curve with a Critical point. This enables us to depict the phase diagram of the ideal Bose gas. The consequent phase transition is first-order below the Critical Pressure or second-order at the Critical Pressure. The exponents corresponding to the singularities are 1/2 and 2/3 respectively. We also verify the recently observed `Widom line' in the superCritical region.

  • existence of a Critical point in the phase diagram of the ideal relativistic neutral bose gas
    New Journal of Physics, 2011
    Co-Authors: Jeong-hyuck Park, Sang Woo Kim
    Abstract:

    We explore the phase transitions of the ideal relativistic neutral Bose gas confined in a cubic box, without assuming the thermodynamic limit nor continuous approximation. While the corresponding non-relativistic canonical partition function is essentially a one-variable function depending on a particular combination of temperature and volume, the relativistic canonical partition function is genuinely a two-variable function of them. Based on an exact expression for the canonical partition function, we performed numerical computations for up to 105 particles. We report that if the number of particles is equal to or greater than a Critical value, which amounts to 7616, the ideal relativistic neutral Bose gas features a spinodal curve with a Critical point. This enables us to depict the phase diagram of the ideal Bose gas. The consequent phase transition is first order below the Critical Pressure or second order at the Critical Pressure. The exponents corresponding to the singularities are 1/2 and 2/3, respectively. We also verify the recently observed 'Widom line' in the superCritical region.

Zhuqiang Yang - One of the best experts on this subject based on the ideXlab platform.

  • Convective heat transfer and Pressure drop characteristics of near-Critical-Pressure hydrocarbon fuel in a minichannel
    Applied Thermal Engineering, 2012
    Co-Authors: Zhaohui Liu, Yong Guo, Jianguo Yan, Zhuqiang Yang
    Abstract:

    Abstract The convective heat transfer and Pressure drop characteristics of a kerosene kind hydrocarbon fuel were experimentally investigated in an electrically heated minichannel with an inside diameter of 2.0 mm, in the range of fuel temperature: 25–600 °C at near-Critical Pressures. In the single phase liquid flow, considerable free convection in laminar flow stabilizes the flow at Reynolds number (Re) up to 3600, the heat transfer coefficients can be predicted by Gnielinski correlation with deviations no more than 20.0% at Re > 4000; the adiabatic friction factor well agrees with the Moody diagram and Blasius correlation at laminar and turbulent flow respectively. As fuel temperature approaches the pseudo-Critical point, peak and trough in heat transfer coefficients are recorded. First, heat transfer is enhanced by the boiling or pseudo-boiling at the relevant Pressures. As fuel temperature increases, heat transfer deterioration takes place, accompanied with acoustic flow instability and peculiarly diabatic Pressure drop deduction due to the steep thermodynamic properties. The heat transfer and flow stability are regained as the bulk fuel temperature increases to above the pseudo-Critical points. Upon increasing the Pressure, the singularities of heat transfer and fluid flow gradually disappear.

Nikolai V Priezjev - One of the best experts on this subject based on the ideXlab platform.

  • oil droplet behavior at a pore entrance in the presence of crossflow implications for microfiltration of oil water dispersions
    Journal of Membrane Science, 2013
    Co-Authors: Tohid Darvishzadeh, Volodymy V Tarabara, Nikolai V Priezjev
    Abstract:

    Abstract The behavior of an oil droplet pinned at the entrance of a micropore and subject to crossflow-induced shear is investigated numerically by solving the Navier–Stokes equation. We found that in the absence of crossflow, the Critical transmembrane Pressure required to force the droplet into the pore is in excellent agreement with a theoretical prediction based on the Young–Laplace equation. With increasing shear rate, the Critical Pressure of permeation increases, and at sufficiently high shear rates the oil droplet breaks up into two segments. The results of numerical simulations indicate that droplet breakup at the pore entrance is facilitated at lower values of the surface tension coefficient, higher oil-to-water viscosity ratio and larger droplet size but is insensitive to the value of the contact angle. Using simple force and torque balance arguments, an estimate for the increase in Critical Pressure due to crossflow and the breakup capillary number is obtained and validated for different viscosity ratios, surface tension coefficients, contact angles, and drop-to-pore size ratios.

Zhaohui Liu - One of the best experts on this subject based on the ideXlab platform.

  • Convective heat transfer and Pressure drop characteristics of near-Critical-Pressure hydrocarbon fuel in a minichannel
    Applied Thermal Engineering, 2012
    Co-Authors: Zhaohui Liu, Yong Guo, Jianguo Yan, Zhuqiang Yang
    Abstract:

    Abstract The convective heat transfer and Pressure drop characteristics of a kerosene kind hydrocarbon fuel were experimentally investigated in an electrically heated minichannel with an inside diameter of 2.0 mm, in the range of fuel temperature: 25–600 °C at near-Critical Pressures. In the single phase liquid flow, considerable free convection in laminar flow stabilizes the flow at Reynolds number (Re) up to 3600, the heat transfer coefficients can be predicted by Gnielinski correlation with deviations no more than 20.0% at Re > 4000; the adiabatic friction factor well agrees with the Moody diagram and Blasius correlation at laminar and turbulent flow respectively. As fuel temperature approaches the pseudo-Critical point, peak and trough in heat transfer coefficients are recorded. First, heat transfer is enhanced by the boiling or pseudo-boiling at the relevant Pressures. As fuel temperature increases, heat transfer deterioration takes place, accompanied with acoustic flow instability and peculiarly diabatic Pressure drop deduction due to the steep thermodynamic properties. The heat transfer and flow stability are regained as the bulk fuel temperature increases to above the pseudo-Critical points. Upon increasing the Pressure, the singularities of heat transfer and fluid flow gradually disappear.