A single-phase lattice Boltzmann model with modified surface tension is developed in this paper to solve the problem of high-density-ratio free surface flow.The computational efficiency and accuracy are both enhanced....A single-phase lattice Boltzmann model with modified surface tension is developed in this paper to solve the problem of high-density-ratio free surface flow.The computational efficiency and accuracy are both enhanced.The restriction to the relaxation factor (which needs to be smaller than 1) is circumvented by the new surface tension algebra,due to its rational physical nature compared with the treatment of Xing,Buther and Yang in their paper (Comp.Mater.Sci.,2007,39(2):282-290).The proposed stable surface tension scheme is applied to simulate the free deformation of a square droplet with surface tension effect and the process of a droplet impinging on a liquid film.The numerical solution for free deformation of a droplet agrees well with thermodynamic principles,and also achieves high accuracy in comparison with Xing,et al.'s model.Three typical impinging modes are successfully obtained with the new scheme,and another particular mode found by Wang and Chen is also successfully simulated.The evolutions of liquid crown agree well with the power law related to time.展开更多
The dynamic problem of three-dimensional free surface is numerically studied in this paper. The ALE (Arbitrary Lagrange-Euler) kinematic description is introduced into the control equation system. The ALE descriptio...The dynamic problem of three-dimensional free surface is numerically studied in this paper. The ALE (Arbitrary Lagrange-Euler) kinematic description is introduced into the control equation system. The ALE description method is used to track free surface. Accurate formulations for calculating the normal vector on the free surface are presented. The discrete numerical equations by finite element method are developed by Galerkin weighted residual method. The boundary condition about free-surface tension is represented in the form of weak integration that can be computed by a differential geometry method derived in the present paper. The effect of contact angle is incorporated in the numerical algorithm. Furthermore, the numerical computations are performed and the comparison between computational and analytical results validated the effectiveness of the method. The results of this paper provide a fundamental understandings of the dynamics of liquid free surfaces, in which the surface tension and contact angle boundary conditions are taken into account. Finally, numerical simulation of largescale amplitude sloshing of liquid in a cylindrical container is performed and a numerical analysis of the effect of an annular ring-shaped rigid damping baffle on liquid sloshing oscillations in a cylindrical tank is also carried out.展开更多
Surface roughness is an important factor that affects the wetting of molten metal on ceramics.The effect of surface roughness of the alumina substrate on the contact angle,contact diameter,drop height and surface tens...Surface roughness is an important factor that affects the wetting of molten metal on ceramics.The effect of surface roughness of the alumina substrate on the contact angle,contact diameter,drop height and surface tension of molten lead was investigated in the temperature range of 923-1123 K.The microstructure of the lead/substrate interface was observed by SEM.The surface free energy of alumina substrates was calculated by the geometrical average method.When the surface roughness of the substrate increased from 0.092 to 2.23μm,the surface free energy increased gradually,ranging from 13.356 to 39.998 mJ/m^(2).The contact diameter of lead droplets decreased from 9.111 to 7.19 mm.The lead drop height increased from 3.41 to 3.85 mm.The contact angle increased from 113.05°to 137.15°.Moreover,the surface depression of the alumina substrate was filled with lead,and no obvious change was observed.The results demonstrated that the wetting of lead drop on alumina substrates was consistent with the Wenzel state.展开更多
A new equation for predicting surface tension is proposed based on the thermodynamic definition of surface tension and the expression of the Gibbs free energy of the system. Using the NRTL equation to represent the ex...A new equation for predicting surface tension is proposed based on the thermodynamic definition of surface tension and the expression of the Gibbs free energy of the system. Using the NRTL equation to represent the excess Gibbs free energy, a two-parameter surface tension equation is derived. The feasibility of the new equation has been tested in terms of 124 binary and 16 multicomponent systems(13-ternary and 3-quaternary) with absolute relative deviations of 0.59% and 1.55% respectively. This model is also predictive for the temperature dependence of surface tension of liquid mixtures. It is shown that, with good accuracy, this equation is simple and reliable for practical use.展开更多
Various water wave problems involving an infinitely long horizontal cylinder floating on the surface water were investigated in the literature of linearized theory of water waves employing a general multipole expansio...Various water wave problems involving an infinitely long horizontal cylinder floating on the surface water were investigated in the literature of linearized theory of water waves employing a general multipole expansion for the wave potential. This expansion involves a general combination of a regular wave, a wave source, a wave dipole and a regular wave-free part. The wave-free part can be further expanded in terms of wave-free multipoles which are termed as wave-free potentials. These are singular solutions of Laplace's equation (for non-oblique waves in two dimensions) or two-dimensional Helmholz equation (for oblique waves) satisfying the free surface condition and decaying rapidly away from the point of singularity. The method of constructing these wave-free potentials is presented here in a systematic manner for a number of situations such as deep water with a free surface, neglecting or taking into account the effect of surface tension, or with an ice-cover modelled as a thin elastic plate floating on water.展开更多
Maximum bubble pressure measurement was employed to evaluate surface tension of Sn-8Zn-3Bi- (00.15)Nd and Sn-8Zn-3Bi-(00.15)La solder melts. Wetting balance method was used to measure wetting force and wetting time on...Maximum bubble pressure measurement was employed to evaluate surface tension of Sn-8Zn-3Bi- (00.15)Nd and Sn-8Zn-3Bi-(00.15)La solder melts. Wetting balance method was used to measure wetting force and wetting time on Cu substrate of the two group solders. The experimental results show that minute amount of Nd or La addition to Sn-8Zn-3Bi solder causes significant decrease of the surface tension of the solder melts at 200240℃ and Nd addition is more effective on reduction of surface tension than that of La. Nd or La addition has the effect on enhancing the wetting force of the solder melts on Cu substrate, which results from the decrease of interfacial tension between the solder melt and Cu substrate. The wetting force reaches the maximum when 0.1% Nd is added to the base alloy. The contact angle between Sn-8Zn-3Bi base solders and Cu substrate decreases with the addition of Nd or La and the minimum of the contact angle is obtained from the solder with 0.1% Nd addition.展开更多
Purpose: Analyzing the causes of pain after tension-free repair in the inguinal hernia, and propose corresponding treatment strategies. Results: The patients in this group were followed up for 3 - 12 months. A total o...Purpose: Analyzing the causes of pain after tension-free repair in the inguinal hernia, and propose corresponding treatment strategies. Results: The patients in this group were followed up for 3 - 12 months. A total of 5 patients still had pain relief within 3 months after surgery. Further treatment was needed, and the incidence rate was 5%. Conclusion: Skilled surgical procedures are performed in patients with local anesthesia, and some of the absorbable repair materials can be used. The improved patch fixation and extra peritoneal repair can reduce the pain after inguinal hernia repair without tension.展开更多
Electrospinning is a new type of free-end spinning built on the electric field. The electric force of polyacrylonitrile( PAN)polymer solution overcomes the surface tension of the solution,and then it causes wave and f...Electrospinning is a new type of free-end spinning built on the electric field. The electric force of polyacrylonitrile( PAN)polymer solution overcomes the surface tension of the solution,and then it causes wave and forms jet flow. In the process of injection,the solution is evaporated or solidified,eventually forming a fiber on the receiving device. Different from ordinary single needle head,in the study,a new type of 3D free surface spinneret is used to produce multiple jets at the same time, and this will greatly improve production efficiency. In the paper,the model of 3D free surface is analyzed by the theory of fluid mechanics. The relationship among the wave length,surface tension and the electric field is obtained.After the mechanical analysis on the stable period of the jet,the relationship between the jet radius and the distance from the spinneret to jet is carried out. At the same time the relationship between the jet velocity and the tensile force is carried out. After mechanics analyzing on the unstable period of the jet,it can be concluded that the radius of the jet is inversely proportional to one half power of the distance from the jet to the spinneret,and the electrostatic spinning jet's velocity is directly proportional to one half power of the tensile force. After the mechanical analysis of the unstable period of the electrospinning jet,it can be concluded that the radius of the jet is inversely proportional to one fourth power of the jet intercept point distance.展开更多
A new model based on the theoretical work of Boudh-Hir and Mansoori was developed for prediction of surface tension of pure fluids. The new model has the advantage of not requiring densities in the calculation, and th...A new model based on the theoretical work of Boudh-Hir and Mansoori was developed for prediction of surface tension of pure fluids. The new model has the advantage of not requiring densities in the calculation, and the input parameters are critical temperature and connectivity indices. A total of 209 compounds covering a wide variety of substances were used to develop the model, and the overall correlative AAD is 4.21%. To test its predictive ability, the model is further used to predict the surface tension of 25 more compounds that were not included in the model development. The overall predictive AAD is 4.07%, which illustrates that the model is reliable. The model proposed is simple and easy to apply, with good predictive accuracy.展开更多
In this paper, a method to construct oblique wave-free potentials in the linearised theory of water waves for water with uniform finite depth is presented in a systematic manner. The water has either a free surface or...In this paper, a method to construct oblique wave-free potentials in the linearised theory of water waves for water with uniform finite depth is presented in a systematic manner. The water has either a free surface or an ice-cover modelled as a thin elastic plate. For the case of free surface, the effect of surface tension may be neglected or taken into account. Here, the wave-free potentials are singular solutions of the modified Helmholtz equation, having singularity at a point in the fluid region and they satisfy the conditions at the upper surface and the bottom of water region and decay rapidly away from the point of singularity. These are useful in obtaining solutions to oblique water wave problems involving bodies with circular cross-sections such as long horizontal cylinders submerged or half-immersed in water of uniform fmite depth with a free surface or an ice-cover modelled as a floating elastic plate. Finally, the forms of the upper surface related to the wave-free potentials constructed here are depicted graphically in a number of figures to visualize the wave motion. The results for non-oblique wave-free potentials and the upper surface wave-free potentials are obtained. The wave-free potentials constructed here will be useful in the mathematical study of water wave problems involving infinitely long horizontal cylinders, either half-immersed or completely immersed in water.展开更多
BACKGROUND Large abdominal wall defect(LAWD)caused by shotgun wound is rarely reported.CASE SUMMARY Herein,we describe a case of LAWD caused by a gunshot wound in which the abdominal wall was reconstructed in stages,i...BACKGROUND Large abdominal wall defect(LAWD)caused by shotgun wound is rarely reported.CASE SUMMARY Herein,we describe a case of LAWD caused by a gunshot wound in which the abdominal wall was reconstructed in stages,including debridement,tensionreduced closure(TRC),and reconstruction with mesh and a free musculocutaneous flap.During a 3-year follow-up,the patient recovered well without hernia or other problems.CONCLUSION TRC is a practical approach for the temporary closure of LAWD,particularly in cases when one-stage abdominal wall restoration is unfeasible due to significant comorbidities.展开更多
基金supported by the National Natural Science Foundation of China (Grant Nos.10625210,50609020 and 10902070)the Leading Academic Discipline Project of Shanghai Municipal Education Commission (Grant No.J50501)
文摘A single-phase lattice Boltzmann model with modified surface tension is developed in this paper to solve the problem of high-density-ratio free surface flow.The computational efficiency and accuracy are both enhanced.The restriction to the relaxation factor (which needs to be smaller than 1) is circumvented by the new surface tension algebra,due to its rational physical nature compared with the treatment of Xing,Buther and Yang in their paper (Comp.Mater.Sci.,2007,39(2):282-290).The proposed stable surface tension scheme is applied to simulate the free deformation of a square droplet with surface tension effect and the process of a droplet impinging on a liquid film.The numerical solution for free deformation of a droplet agrees well with thermodynamic principles,and also achieves high accuracy in comparison with Xing,et al.'s model.Three typical impinging modes are successfully obtained with the new scheme,and another particular mode found by Wang and Chen is also successfully simulated.The evolutions of liquid crown agree well with the power law related to time.
基金The project supported by the National Natural Science Foundation of China (10272022, 10572022) and the Basic Research Foundation of Beijing Institute of Technology (000Y07). The English text was polished by Yunming Chen.
文摘The dynamic problem of three-dimensional free surface is numerically studied in this paper. The ALE (Arbitrary Lagrange-Euler) kinematic description is introduced into the control equation system. The ALE description method is used to track free surface. Accurate formulations for calculating the normal vector on the free surface are presented. The discrete numerical equations by finite element method are developed by Galerkin weighted residual method. The boundary condition about free-surface tension is represented in the form of weak integration that can be computed by a differential geometry method derived in the present paper. The effect of contact angle is incorporated in the numerical algorithm. Furthermore, the numerical computations are performed and the comparison between computational and analytical results validated the effectiveness of the method. The results of this paper provide a fundamental understandings of the dynamics of liquid free surfaces, in which the surface tension and contact angle boundary conditions are taken into account. Finally, numerical simulation of largescale amplitude sloshing of liquid in a cylindrical container is performed and a numerical analysis of the effect of an annular ring-shaped rigid damping baffle on liquid sloshing oscillations in a cylindrical tank is also carried out.
基金financial supports from the National Natural Science Foundation of China(Nos.51974022,U1738101)Fundamental Research Funds for the Central Universities,China(No.FRF-MP-20-17)。
文摘Surface roughness is an important factor that affects the wetting of molten metal on ceramics.The effect of surface roughness of the alumina substrate on the contact angle,contact diameter,drop height and surface tension of molten lead was investigated in the temperature range of 923-1123 K.The microstructure of the lead/substrate interface was observed by SEM.The surface free energy of alumina substrates was calculated by the geometrical average method.When the surface roughness of the substrate increased from 0.092 to 2.23μm,the surface free energy increased gradually,ranging from 13.356 to 39.998 mJ/m^(2).The contact diameter of lead droplets decreased from 9.111 to 7.19 mm.The lead drop height increased from 3.41 to 3.85 mm.The contact angle increased from 113.05°to 137.15°.Moreover,the surface depression of the alumina substrate was filled with lead,and no obvious change was observed.The results demonstrated that the wetting of lead drop on alumina substrates was consistent with the Wenzel state.
基金the Scientific Research Foundation of the State Education Ministry for Returned Overseas Chinese Scholar.
文摘A new equation for predicting surface tension is proposed based on the thermodynamic definition of surface tension and the expression of the Gibbs free energy of the system. Using the NRTL equation to represent the excess Gibbs free energy, a two-parameter surface tension equation is derived. The feasibility of the new equation has been tested in terms of 124 binary and 16 multicomponent systems(13-ternary and 3-quaternary) with absolute relative deviations of 0.59% and 1.55% respectively. This model is also predictive for the temperature dependence of surface tension of liquid mixtures. It is shown that, with good accuracy, this equation is simple and reliable for practical use.
基金a NASI Senior Scientist Fellowship to BNM and a DST Research Project no. SR/S4/MS:521/08
文摘Various water wave problems involving an infinitely long horizontal cylinder floating on the surface water were investigated in the literature of linearized theory of water waves employing a general multipole expansion for the wave potential. This expansion involves a general combination of a regular wave, a wave source, a wave dipole and a regular wave-free part. The wave-free part can be further expanded in terms of wave-free multipoles which are termed as wave-free potentials. These are singular solutions of Laplace's equation (for non-oblique waves in two dimensions) or two-dimensional Helmholz equation (for oblique waves) satisfying the free surface condition and decaying rapidly away from the point of singularity. The method of constructing these wave-free potentials is presented here in a systematic manner for a number of situations such as deep water with a free surface, neglecting or taking into account the effect of surface tension, or with an ice-cover modelled as a thin elastic plate floating on water.
文摘Maximum bubble pressure measurement was employed to evaluate surface tension of Sn-8Zn-3Bi- (00.15)Nd and Sn-8Zn-3Bi-(00.15)La solder melts. Wetting balance method was used to measure wetting force and wetting time on Cu substrate of the two group solders. The experimental results show that minute amount of Nd or La addition to Sn-8Zn-3Bi solder causes significant decrease of the surface tension of the solder melts at 200240℃ and Nd addition is more effective on reduction of surface tension than that of La. Nd or La addition has the effect on enhancing the wetting force of the solder melts on Cu substrate, which results from the decrease of interfacial tension between the solder melt and Cu substrate. The wetting force reaches the maximum when 0.1% Nd is added to the base alloy. The contact angle between Sn-8Zn-3Bi base solders and Cu substrate decreases with the addition of Nd or La and the minimum of the contact angle is obtained from the solder with 0.1% Nd addition.
文摘Purpose: Analyzing the causes of pain after tension-free repair in the inguinal hernia, and propose corresponding treatment strategies. Results: The patients in this group were followed up for 3 - 12 months. A total of 5 patients still had pain relief within 3 months after surgery. Further treatment was needed, and the incidence rate was 5%. Conclusion: Skilled surgical procedures are performed in patients with local anesthesia, and some of the absorbable repair materials can be used. The improved patch fixation and extra peritoneal repair can reduce the pain after inguinal hernia repair without tension.
基金National Natural Science Foundations of China(Nos.51373033,11172064)the Fundamental Research Funds for the Central Universities,China(No.CUSF-DH-M-EG2016014)
文摘Electrospinning is a new type of free-end spinning built on the electric field. The electric force of polyacrylonitrile( PAN)polymer solution overcomes the surface tension of the solution,and then it causes wave and forms jet flow. In the process of injection,the solution is evaporated or solidified,eventually forming a fiber on the receiving device. Different from ordinary single needle head,in the study,a new type of 3D free surface spinneret is used to produce multiple jets at the same time, and this will greatly improve production efficiency. In the paper,the model of 3D free surface is analyzed by the theory of fluid mechanics. The relationship among the wave length,surface tension and the electric field is obtained.After the mechanical analysis on the stable period of the jet,the relationship between the jet radius and the distance from the spinneret to jet is carried out. At the same time the relationship between the jet velocity and the tensile force is carried out. After mechanics analyzing on the unstable period of the jet,it can be concluded that the radius of the jet is inversely proportional to one half power of the distance from the jet to the spinneret,and the electrostatic spinning jet's velocity is directly proportional to one half power of the tensile force. After the mechanical analysis of the unstable period of the electrospinning jet,it can be concluded that the radius of the jet is inversely proportional to one fourth power of the jet intercept point distance.
基金Supported by the National Natural Science Foundation of China (No. 20106001) the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of China, the Trans-century Training Programme Foundation for the Talen
文摘A new model based on the theoretical work of Boudh-Hir and Mansoori was developed for prediction of surface tension of pure fluids. The new model has the advantage of not requiring densities in the calculation, and the input parameters are critical temperature and connectivity indices. A total of 209 compounds covering a wide variety of substances were used to develop the model, and the overall correlative AAD is 4.21%. To test its predictive ability, the model is further used to predict the surface tension of 25 more compounds that were not included in the model development. The overall predictive AAD is 4.07%, which illustrates that the model is reliable. The model proposed is simple and easy to apply, with good predictive accuracy.
文摘In this paper, a method to construct oblique wave-free potentials in the linearised theory of water waves for water with uniform finite depth is presented in a systematic manner. The water has either a free surface or an ice-cover modelled as a thin elastic plate. For the case of free surface, the effect of surface tension may be neglected or taken into account. Here, the wave-free potentials are singular solutions of the modified Helmholtz equation, having singularity at a point in the fluid region and they satisfy the conditions at the upper surface and the bottom of water region and decay rapidly away from the point of singularity. These are useful in obtaining solutions to oblique water wave problems involving bodies with circular cross-sections such as long horizontal cylinders submerged or half-immersed in water of uniform fmite depth with a free surface or an ice-cover modelled as a floating elastic plate. Finally, the forms of the upper surface related to the wave-free potentials constructed here are depicted graphically in a number of figures to visualize the wave motion. The results for non-oblique wave-free potentials and the upper surface wave-free potentials are obtained. The wave-free potentials constructed here will be useful in the mathematical study of water wave problems involving infinitely long horizontal cylinders, either half-immersed or completely immersed in water.
文摘BACKGROUND Large abdominal wall defect(LAWD)caused by shotgun wound is rarely reported.CASE SUMMARY Herein,we describe a case of LAWD caused by a gunshot wound in which the abdominal wall was reconstructed in stages,including debridement,tensionreduced closure(TRC),and reconstruction with mesh and a free musculocutaneous flap.During a 3-year follow-up,the patient recovered well without hernia or other problems.CONCLUSION TRC is a practical approach for the temporary closure of LAWD,particularly in cases when one-stage abdominal wall restoration is unfeasible due to significant comorbidities.