In this paper, the couple vibration of liquid and elastic spacer in arectangular tank is investigated. Two different velocity potential functions correspondingrespectively to the liquid above and below the elastic spa...In this paper, the couple vibration of liquid and elastic spacer in arectangular tank is investigated. Two different velocity potential functions correspondingrespectively to the liquid above and below the elastic spacer are assumed. Complicated boundaryconditions corresponding to two velocity potential functions and vibrations of elastic spacer aregiven. Using the method of energy, the equation of couple frequency is obtained. Through numericalcomputation the natural frequencies that change according to the location and stiffness of thespacer are shown.展开更多
Substantial attention has been paid to the stoi-chiometric displacement models for solute retention (SDM-R) in liquid chromatography and adsorption (SDM-A) at surfaces since they were developed. The SDM has a strongly...Substantial attention has been paid to the stoi-chiometric displacement models for solute retention (SDM-R) in liquid chromatography and adsorption (SDM-A) at surfaces since they were developed. The SDM has a strongly theoretical basis and has evolved to the point that it is widely applied in chemistry, biochemistry, molecular biology and biotechnology. This review introduces the history, recent developments, and new concepts relating to the SDM, including theory, mathematical expressions, and applications across a broad range of fields.展开更多
Based on five thermodynamic equilibria involving solutes, solvents and adsorbents, a stoichiometric displacement adsorption model adaptable to various adsorption systems consisting of different types of solutes, solve...Based on five thermodynamic equilibria involving solutes, solvents and adsorbents, a stoichiometric displacement adsorption model adaptable to various adsorption systems consisting of different types of solutes, solvents and adsorbents has been presented. The kernel of this model is that as the solute molecules are adsorbed by the adsorbent, a stoichiometric number of the solvent molecules is necessarily released. The model was tested with originally published data from an extensive literature. The linear parameter values from the model have been used for quantitatively explaining the phenomenon of the liquid-solid adsorption. Having compared with Langmuir model in many respects, it is found that this model is better.展开更多
An ultrasound‐assisted aldol condensation reaction has been developed for a range of ketones with a variety of aromatic aldehydes using poly(N‐vinylimidazole) as a solid base catalyst in a liquid‐solid system. The ...An ultrasound‐assisted aldol condensation reaction has been developed for a range of ketones with a variety of aromatic aldehydes using poly(N‐vinylimidazole) as a solid base catalyst in a liquid‐solid system. The catalyst can be recovered by simple filtration and reused at least 10 times without any significant reduction in its activity. The reaction is also amenable to the large scale, making the procedure potentially useful for industrial applications.展开更多
A number of experiments regarding hydrodynamics have been carried out in the open turbine rotating disc contactor using quartz particles as solid phase, tap water and kerosene as liquid phase. Flooding phenomenon has ...A number of experiments regarding hydrodynamics have been carried out in the open turbine rotating disc contactor using quartz particles as solid phase, tap water and kerosene as liquid phase. Flooding phenomenon has been observed. The variables studied include the rotor speed, compartment height, stator ring opening, column diameter and the superficial velocity of each phase. Correlations for predicting the solid phase holdup and characteristic velocity have been developed. In comparison with liquid-liquid system, the presence of solid particles will result in higher dispersed phase holdup but lower characteristic velocity and total throughput.展开更多
The open turbine rotating disc contactor (OTRDC) has been installed simply by adding three narrow strips to the lower surface of each rotating disc in the rotating disc contactor (RDC), so it can be used for the syste...The open turbine rotating disc contactor (OTRDC) has been installed simply by adding three narrow strips to the lower surface of each rotating disc in the rotating disc contactor (RDC), so it can be used for the system with high solid particle content. Hydrodynamics and axial mixing have been investigated in a 0.152m diameter OTRDC of different compartment height for the system of tap water and quartz particles. A model has been developed to describe the flow of liquid and solid phases. The solid phase holdup can be calculated satisfactorily according to the model equations. Axial mixing data have been treated by the backflow model and the correlations for predicting backflow ratios of liquid and solid phases in OTRDC have been presented.展开更多
The hydrodynamics is still not fully understood in the three-phase stirred tank equipped with multi-impeller due to the intensive interaction between phases.In this work,the solid critical suspension speed(NJSG),relat...The hydrodynamics is still not fully understood in the three-phase stirred tank equipped with multi-impeller due to the intensive interaction between phases.In this work,the solid critical suspension speed(NJSG),relative power demand(RPD)and overall gas holdup(ε_G)were measured in an air–water–glass beads stirred tank equipped with multi-impeller,which consists of a parabolic blade disk turbine below two down-pumping hydrofoils.Results show that either the NJSGor the specific power consumption increases when increasing the volumetric solid concentration or superficial gas velocity.RPD changes less than 10%when solid volumetric concentration ranges from 0 to 15%.ε_G decreases with the increase of solid concentration,and increases with the increase of both superficial gas velocity and the total specific power consumption.The quantitative correlations of NJSG,RPD andεGwere regressed as the function of superficial gas velocity,specific power consumption,Froude number and gas flow number,in order to provide the reference in the design of such three-phase stirred tank with similar multi-impellers.展开更多
The friction at the liquid-solid interfaces is widely involved in various phenomena ranging from nanometer to micrometer scales. By the molecular dynamic(MD)simulation, the friction properties of liquid-solid interfac...The friction at the liquid-solid interfaces is widely involved in various phenomena ranging from nanometer to micrometer scales. By the molecular dynamic(MD)simulation, the friction properties of liquid-solid interfaces at the molecular level are calculated via the Green-Kubo relation. It is found that the system size will influence the value of the friction coefficient, especially for the solid surfaces with the larger polar charge. The value of the friction coefficient decreases with the increase in the system size and converges at large system sizes. The large polar charge will lead to a significant friction coefficient. However, the diffusion of water molecules on this surface is almost a constant, indicating that the diffusion coefficient seems to be independent of the system size and polar charge. This work provides insights for the selection of the system size in modeling the frictional properties of hydrophobic/hydrophilic surfaces.展开更多
文摘In this paper, the couple vibration of liquid and elastic spacer in arectangular tank is investigated. Two different velocity potential functions correspondingrespectively to the liquid above and below the elastic spacer are assumed. Complicated boundaryconditions corresponding to two velocity potential functions and vibrations of elastic spacer aregiven. Using the method of energy, the equation of couple frequency is obtained. Through numericalcomputation the natural frequencies that change according to the location and stiffness of thespacer are shown.
基金This work was supported by the National Natural Science Foundation of China (Grant Nos. 29675017 and 39180016).
文摘Substantial attention has been paid to the stoi-chiometric displacement models for solute retention (SDM-R) in liquid chromatography and adsorption (SDM-A) at surfaces since they were developed. The SDM has a strongly theoretical basis and has evolved to the point that it is widely applied in chemistry, biochemistry, molecular biology and biotechnology. This review introduces the history, recent developments, and new concepts relating to the SDM, including theory, mathematical expressions, and applications across a broad range of fields.
文摘Based on five thermodynamic equilibria involving solutes, solvents and adsorbents, a stoichiometric displacement adsorption model adaptable to various adsorption systems consisting of different types of solutes, solvents and adsorbents has been presented. The kernel of this model is that as the solute molecules are adsorbed by the adsorbent, a stoichiometric number of the solvent molecules is necessarily released. The model was tested with originally published data from an extensive literature. The linear parameter values from the model have been used for quantitatively explaining the phenomenon of the liquid-solid adsorption. Having compared with Langmuir model in many respects, it is found that this model is better.
文摘An ultrasound‐assisted aldol condensation reaction has been developed for a range of ketones with a variety of aromatic aldehydes using poly(N‐vinylimidazole) as a solid base catalyst in a liquid‐solid system. The catalyst can be recovered by simple filtration and reused at least 10 times without any significant reduction in its activity. The reaction is also amenable to the large scale, making the procedure potentially useful for industrial applications.
文摘A number of experiments regarding hydrodynamics have been carried out in the open turbine rotating disc contactor using quartz particles as solid phase, tap water and kerosene as liquid phase. Flooding phenomenon has been observed. The variables studied include the rotor speed, compartment height, stator ring opening, column diameter and the superficial velocity of each phase. Correlations for predicting the solid phase holdup and characteristic velocity have been developed. In comparison with liquid-liquid system, the presence of solid particles will result in higher dispersed phase holdup but lower characteristic velocity and total throughput.
文摘The open turbine rotating disc contactor (OTRDC) has been installed simply by adding three narrow strips to the lower surface of each rotating disc in the rotating disc contactor (RDC), so it can be used for the system with high solid particle content. Hydrodynamics and axial mixing have been investigated in a 0.152m diameter OTRDC of different compartment height for the system of tap water and quartz particles. A model has been developed to describe the flow of liquid and solid phases. The solid phase holdup can be calculated satisfactorily according to the model equations. Axial mixing data have been treated by the backflow model and the correlations for predicting backflow ratios of liquid and solid phases in OTRDC have been presented.
基金the financial support from the National Key R&D Program of China(2017YFB0306703)the Fundamental Research Funds for the Central Universities(XK1802-1)the National Natural Science Foundation of China(No.21676007)。
文摘The hydrodynamics is still not fully understood in the three-phase stirred tank equipped with multi-impeller due to the intensive interaction between phases.In this work,the solid critical suspension speed(NJSG),relative power demand(RPD)and overall gas holdup(ε_G)were measured in an air–water–glass beads stirred tank equipped with multi-impeller,which consists of a parabolic blade disk turbine below two down-pumping hydrofoils.Results show that either the NJSGor the specific power consumption increases when increasing the volumetric solid concentration or superficial gas velocity.RPD changes less than 10%when solid volumetric concentration ranges from 0 to 15%.ε_G decreases with the increase of solid concentration,and increases with the increase of both superficial gas velocity and the total specific power consumption.The quantitative correlations of NJSG,RPD andεGwere regressed as the function of superficial gas velocity,specific power consumption,Froude number and gas flow number,in order to provide the reference in the design of such three-phase stirred tank with similar multi-impellers.
基金the National Natural Science Foundation of China(Nos.11605151,11675138,and 11422542)the Special Program for Applied Research on Super Computation of the NSFCGuangdong Joint Fund(the second phase)。
文摘The friction at the liquid-solid interfaces is widely involved in various phenomena ranging from nanometer to micrometer scales. By the molecular dynamic(MD)simulation, the friction properties of liquid-solid interfaces at the molecular level are calculated via the Green-Kubo relation. It is found that the system size will influence the value of the friction coefficient, especially for the solid surfaces with the larger polar charge. The value of the friction coefficient decreases with the increase in the system size and converges at large system sizes. The large polar charge will lead to a significant friction coefficient. However, the diffusion of water molecules on this surface is almost a constant, indicating that the diffusion coefficient seems to be independent of the system size and polar charge. This work provides insights for the selection of the system size in modeling the frictional properties of hydrophobic/hydrophilic surfaces.
