Publications (9)16.55 Total impact
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ABSTRACT: We study solutions of the Dirac equation with the improved Tietz potential model in higher spatial dimensions. Under the condition of the spin symmetry, we obtain the bound state energy equation. It has been found that there exists a relativistic interdimensional degeneracy: under the transformation of a decrease in the spatial dimension by two and an increase in the orbital angular momentum by one, the relativistic rotationvibrational energy for a diatomic molecule is invariant. We observe that the behavior of the relativistic vibrational energies for the Ag2 B11Πu state in higher dimensions remains similar to that of the threedimensional system.  [Show abstract] [Hide abstract]
ABSTRACT: We solve the KleinGordon equation with the modified RosenMorse potential energy model in D spatial dimensions. The bound state energy equation has been obtained by using the supersymmetric WKB approximation approach. We find that the interdimensional degeneracy symmetry exists for the molecular system represented by the modified RosenMorse potential. For fixed vibrational and rotational quantum numbers, the relativistic energies for the 61Πu state of the 7Li2 molecule and the X3Π state of the SiC radical increase as D increases. We observe that the behavior of the relativistic vibrational energies in higher dimensions remains similar to that of the threedimensional system.  [Show abstract] [Hide abstract]
ABSTRACT: We solve the Schrodinger equation with the improved Tietz potential energy model in D spatial dimensions. The Ddimensional rotationvibrational energy spectra have been obtained by using the supersymmetric shape invariance approach. The rotationvibrational energies for the A(1)Sigma(+)(u) and C1 Pi(u) states of the Na2 molecule increase as D increases in the presence of a fixed vibrational quantum number and rotational quantum number. It is observed that the behavior of the vibrational energies in higher dimensions remains similar to that of the threedimensional system. We find that the Ddimensional scaling method resembles a translation transformation from the higher dimensions to the three dimensions.  [Show abstract] [Hide abstract]
ABSTRACT: A relative permeability model for transient twophase flow in fractal porous media is derived based on the fractal characteristics of pore size distribution and the assumption that porous media consists of capillary bundles. The functions in this model are tortuosity fractal dimension, pore fractal dimension, and maximum and minimum pore diameters. Every parameter has clear physical meaning without the use of empirical constants. Good agreement between model predictions and experimental data is obtained, the sensitive parameters that influence the relative permeability are specified and their effects on relative permeability are discussed.  [Show abstract] [Hide abstract]
ABSTRACT: During the development of water drive gas reservoirs, the phenomena of gas escaping from water and water separating out from gas will change the seepage characteristics of formation fluid. Therefore, the traditional gaswater twophase inflow performance relationship (IPR) models are not suitable for calculating the water producing gas well inflow performance relationship in water drive gas reservoirs. Based on the basic theory of fluid mechanics in porous medium, using the principle of mass conservation, and considering the process of dissolution and volatilization of gas and water formation, this paper establishes a new mathematical model of gaswater twophase flow. Multiobjective optimization method is used to automatically match the sample well production data in water drive gas reservoirs and then we can achieve the sample well’s productivity equation, relative permeability curve, water influx intensity, and single well controlled reserves. In addition, the influence of different production gas water ratios (GWR) and gassoluble water coefficients on absolute open flow rate () is discussed. This method remedied the limitation of well testing on site and was considered to be a new way to analyze the production behaviors in water producing gas well.  [Show abstract] [Hide abstract]
ABSTRACT: Distribution characteristics of liquid droplet size are described using the fractal theory for liquid droplet size distribution in gasliquid mist flow. Thereby, the fractal expression of the maximum droplet diameter is derived. The fractal model for maximum droplet diameter is obtained based on the internal relationship between maximum droplet diameter and the droplet fractal dimension, which is obtained by analyzing the balance between total droplet surface energy and total gas turbulent kinetic energy. Fractal model predictions of maximum droplet diameter agree with the experimental data. Maximum droplet diameter and droplet fractal dimension are both found to be related to the superficial velocity of gas and liquid. Maximum droplet diameter decreases with an increase in gas superficial velocity but increases with an increase in liquid superficial velocity. Droplet fractal dimension increases with an increase in gas superficial velocity but decreases with an increase in liquid superficial velocity. These are all consistent with the physical facts.  [Show abstract] [Hide abstract]
ABSTRACT: We solve the Schrödinger equation with the improved expression of the Manning–Rosen empirical potential energy model. The rotationvibrational energy spectra and the unnormalized radial wave functions have been obtained. The interaction potential energy curve for the a3Σu+ state of Li27 molecule is modeled by employing Manning–Rosen potential model. Favorable agreement for the Manning–Rosen potential is found in comparing with ab initio data. The vibrational energy levels predicted by using the Manning–Rosen potential for the a3Σu+ state of Li27 are in good agreement with the RKR data and ab initio determinations.  [Show abstract] [Hide abstract]
ABSTRACT: By employing the dissociation energy and the equilibrium bond length for a diatomic molecule as explicit parameters, we generate an improved expression for the generalized WoodsSaxon potential. It is exactly shown that the generalized WoodsSaxon potential and the wellknown RosenMorse potential are the same empirical potentialenergy function for diatomic molecules. Based on the measure of innershell radii of two atoms, we propose a modified RosenMorse potentialenergy model. Evaluation of the average deviations from the experimental data is carried out on six molecules. The modified RosenMorse potential is found to be more accurate than the Morse and RosenMorse potentials in fitting experimental data for the six molecules examined.  [Show abstract] [Hide abstract]
ABSTRACT: By employing the dissociation energy and the equilibrium bond length for a diatomic molecule as explicit parameters, we generate improved expressions for the wellknown RosenMorse, ManningRosen, Tietz, and FrostMusulin potential energy functions. It is found that the wellknown Tietz potential function that is conventionally defined in terms of five parameters [T. Tietz, J. Chem. Phys. 38, 3036 (1963)] actually only has four independent parameters. It is shown exactly that the Wei [Phys. Rev. A 42, 2524 (1990)] and the wellknown Tietz potential functions are the same solvable empirical function. When the parameter h in the Tietz potential function has the values 0, +1, and 1, the Tietz potential becomes the standard Morse, RosenMorse, and ManningRosen potentials, respectively.
Publication Stats
95  Citations  
16.55  Total Impact Points  
Top Journals
Institutions

20122015

Southwest Petroleum University
Huayang, Sichuan, China
