In this paper,we investigate the periodic traveling wave solutions problem for a single population model with advection and distributed delay.By the bifurcation analysis method,we can obtain periodic traveling wave so...In this paper,we investigate the periodic traveling wave solutions problem for a single population model with advection and distributed delay.By the bifurcation analysis method,we can obtain periodic traveling wave solutions for this model under the influence of advection term and distributed delay.The obtained results indicate that weak kernel and strong kernel can both deduce the existence of periodic traveling wave solutions.Finally,we apply the main results in this paper to Logistic model and Nicholson’s blowflies model.展开更多
An analytical solution for scattering of plane P waves by circular-arc layered alluvial valleys was derived by Fourier-Bessel series expansion technique, and the solution was utilized to analyze the effects of alluvia...An analytical solution for scattering of plane P waves by circular-arc layered alluvial valleys was derived by Fourier-Bessel series expansion technique, and the solution was utilized to analyze the effects of alluvial sequence and their relative stiffness on the scattering of incident waves.展开更多
The methods were studied to improve the cooling performance of the absorption refrigeration system(ARS) driven by low-grade solar energy with ultrasonic wave, while the mechanism of ultrasonic wave strengthening boili...The methods were studied to improve the cooling performance of the absorption refrigeration system(ARS) driven by low-grade solar energy with ultrasonic wave, while the mechanism of ultrasonic wave strengthening boiling mass transfer in LiB r solution was also analyzed with experiment. The experimental results indicate that, under the driving heat source of 60–100 oC and the ultrasonic power of 20–60 W, the mass flux of cryogen water in Li Br solution is higher after the application of ultrasonic wave than auxiliary heating with electric rod of the same power, so the ultrasonic application effectively enhances the heat utilization efficiency. The distance H from ultrasonic transducer to vapor/liquid interface significantly affects mass transfer enhancement, so an optimal Hopt corresponding to certain ultrasonic power is beneficial to reaching the best strengthening effect for ultrasonic mass transfer. When the ultrasonic power increases, the mass transfer obviously speeds up in the cryogen water; however, as the power increases to a certain extent, the flux reaches a plateau without obvious increment. Moreover, the ultrasound-enhanced mass transfer technology can reduce the minimum temperature of driving heat source required by ARS and promote the application of solar energy during absorption refrigeration.展开更多
By using the extended F-expansion method, the exact solutions,including periodic wave solutions expressed by Jacobi elliptic functions, for (2+1)-dimensional nonlinear Schrdinger equation are derived. In the limit c...By using the extended F-expansion method, the exact solutions,including periodic wave solutions expressed by Jacobi elliptic functions, for (2+1)-dimensional nonlinear Schrdinger equation are derived. In the limit cases, the solitary wave solutions and the other type of traveling wave solutions for the system are obtained.展开更多
This paper carefully analyses the possibility of that a generalized KdV equa- tion possesses a family of solutions of the finite series form,and thus a kind of its explicit complex exact solutions is cxhibited.These c...This paper carefully analyses the possibility of that a generalized KdV equa- tion possesses a family of solutions of the finite series form,and thus a kind of its explicit complex exact solutions is cxhibited.These complex solutions constitute real exact so- lutions to th e system of complex form of the above generalized KdV equation.展开更多
The reductive perturbation method is applied to investigate the dust acoustic soliton in dusty plasmas with streaming ions under ultraviolet irradiation theoretically and numerically.The self-consistent dust charge va...The reductive perturbation method is applied to investigate the dust acoustic soliton in dusty plasmas with streaming ions under ultraviolet irradiation theoretically and numerically.The self-consistent dust charge variation is taken into account.It is shown that the ultraviolet irradiation can significantly lower the magnitude of the dust negative charge,and ion streaming velocity firstly raise the magnitude of the dust negative charge and then lower it.With the growth of(Ultraviolet) UV photo flux or ion streaming velocity,the phase velocity and width of the solitary waves decrease, whereas its amplitude increases.展开更多
In order to build the model of the drum level wave action and sloshing, based on the method of modularization modeling, the hydrodynamic model of drum level wave action and sloshing was developed, and dynamic simulati...In order to build the model of the drum level wave action and sloshing, based on the method of modularization modeling, the hydrodynamic model of drum level wave action and sloshing was developed, and dynamic simulation researches were carried out based on the model. The results indicate that both drum level and drum length have functional relations with period of drum level wave action and sloshing. When the drum level decreases or drum length increases, the period of drum level wave action and sloshing increases, density of liquid and number of sub-module division have little influence on the period of drum level wave action and sloshing. The model was validated by the analytical solution theory of liquid’s wave action and sloshing in cuboid container, and the 3D graphics of drum level wave action and sloshing was also obtained. The model can dynamically reflect the rules of wave action and sloshing of water in the container exactly.展开更多
通过采用水平二维的Boussinesq方程的FUNWAVE-TVD(fully nonlinear wave model with total variation diminishing)数值模型模拟了孤立波在三维珊瑚堡礁附近的波浪传播变形和岸滩爬高。首先通过已有的物理试验对模型进行了验证,随后分...通过采用水平二维的Boussinesq方程的FUNWAVE-TVD(fully nonlinear wave model with total variation diminishing)数值模型模拟了孤立波在三维珊瑚堡礁附近的波浪传播变形和岸滩爬高。首先通过已有的物理试验对模型进行了验证,随后分析了不同珊瑚礁宽度、口门宽度和口门位置对堡礁附近波浪传播变形和爬高的影响。珊瑚礁的存在能够有效减小孤立波的作用,随着珊瑚礁宽度的增加,波高减小得更为迅速,整个环岛的爬高值不断减小,背浪面附近的爬高值很小且存在一定的不稳定性。珊瑚礁对中央岛屿海岸爬高的削弱作用随着珊瑚礁宽度的增加而减小;随着口门宽度的增大,口门附近潟湖内波高增大的范围变大。口门宽度对爬高的影响在中央岛屿迎浪面一定范围内比较显著,随着口门宽度的增大,该范围内中央岛屿迎浪面的爬高增大,最大爬高由双峰向单峰转变,在此范围之外的爬高值几乎不受口门宽度的影响;随着波浪来波方向与口门夹角的增大,口门附近潟湖内孤立波波高增大的范围减小,口门位置的改变仅仅影响岛屿上与口门相接近区域的爬高,这个影响区域随着波浪来波方向与口门夹角的增大向口门后方偏移。展开更多
内孤立波(internal solitary wave,ISW)的传播扰动声速场,进而引起声场周期起伏。本文利用数值仿真的研究手段,研究了内孤立波在不同类型的初始发射角度声线的多个声线上转折区域中传播时对声场产生的周期性影响,分析了对于声线掠射角...内孤立波(internal solitary wave,ISW)的传播扰动声速场,进而引起声场周期起伏。本文利用数值仿真的研究手段,研究了内孤立波在不同类型的初始发射角度声线的多个声线上转折区域中传播时对声场产生的周期性影响,分析了对于声线掠射角度、声能量到达时间这两个物理量的起伏频率,发现利用声学参数-时间曲线两点间的斜率与差值的偶次平方的乘积(product of the slope and the even square of the difference between two points of the acoustic parameter-time curve,PSD)处理方法更容易从这两种物理量中提取到显著的声场起伏特征。此外,讨论了高阶PSD参数对声场起伏特征提取效果的影响。结果表明,合适的高阶PSD参数可以提高PSD处理方法对声场起伏特征的提取能力。展开更多
基金Supported by the National Natural Science Foundation of China(12261050)Science and Technology Project of Department of Education of Jiangxi Province(GJJ2201612 and GJJ211027)Natural Science Foundation of Jiangxi Province of China(20212BAB202021)。
文摘In this paper,we investigate the periodic traveling wave solutions problem for a single population model with advection and distributed delay.By the bifurcation analysis method,we can obtain periodic traveling wave solutions for this model under the influence of advection term and distributed delay.The obtained results indicate that weak kernel and strong kernel can both deduce the existence of periodic traveling wave solutions.Finally,we apply the main results in this paper to Logistic model and Nicholson’s blowflies model.
基金State Natural Science Foundation of China (No.59878032).
文摘An analytical solution for scattering of plane P waves by circular-arc layered alluvial valleys was derived by Fourier-Bessel series expansion technique, and the solution was utilized to analyze the effects of alluvial sequence and their relative stiffness on the scattering of incident waves.
基金Project(51275180)supported by the National Natural Science Foundation of ChinaProject(S201304416899)supported by the Natural Science Foundation of Guangdong Province,ChinaProject(sybzzxm201213)supported by Doctorate Dissertation Funds of Guangdong Province,China
文摘The methods were studied to improve the cooling performance of the absorption refrigeration system(ARS) driven by low-grade solar energy with ultrasonic wave, while the mechanism of ultrasonic wave strengthening boiling mass transfer in LiB r solution was also analyzed with experiment. The experimental results indicate that, under the driving heat source of 60–100 oC and the ultrasonic power of 20–60 W, the mass flux of cryogen water in Li Br solution is higher after the application of ultrasonic wave than auxiliary heating with electric rod of the same power, so the ultrasonic application effectively enhances the heat utilization efficiency. The distance H from ultrasonic transducer to vapor/liquid interface significantly affects mass transfer enhancement, so an optimal Hopt corresponding to certain ultrasonic power is beneficial to reaching the best strengthening effect for ultrasonic mass transfer. When the ultrasonic power increases, the mass transfer obviously speeds up in the cryogen water; however, as the power increases to a certain extent, the flux reaches a plateau without obvious increment. Moreover, the ultrasound-enhanced mass transfer technology can reduce the minimum temperature of driving heat source required by ARS and promote the application of solar energy during absorption refrigeration.
文摘By using the extended F-expansion method, the exact solutions,including periodic wave solutions expressed by Jacobi elliptic functions, for (2+1)-dimensional nonlinear Schrdinger equation are derived. In the limit cases, the solitary wave solutions and the other type of traveling wave solutions for the system are obtained.
文摘This paper carefully analyses the possibility of that a generalized KdV equa- tion possesses a family of solutions of the finite series form,and thus a kind of its explicit complex exact solutions is cxhibited.These complex solutions constitute real exact so- lutions to th e system of complex form of the above generalized KdV equation.
基金Supported by the National Natural Science Fundation of China(Y05033A030)
文摘The reductive perturbation method is applied to investigate the dust acoustic soliton in dusty plasmas with streaming ions under ultraviolet irradiation theoretically and numerically.The self-consistent dust charge variation is taken into account.It is shown that the ultraviolet irradiation can significantly lower the magnitude of the dust negative charge,and ion streaming velocity firstly raise the magnitude of the dust negative charge and then lower it.With the growth of(Ultraviolet) UV photo flux or ion streaming velocity,the phase velocity and width of the solitary waves decrease, whereas its amplitude increases.
基金Project(200310) supported by Edison Research Foundation from General Electric (GE) in USAProject(59976022) supported by the National Natural Science Foundation of China
文摘In order to build the model of the drum level wave action and sloshing, based on the method of modularization modeling, the hydrodynamic model of drum level wave action and sloshing was developed, and dynamic simulation researches were carried out based on the model. The results indicate that both drum level and drum length have functional relations with period of drum level wave action and sloshing. When the drum level decreases or drum length increases, the period of drum level wave action and sloshing increases, density of liquid and number of sub-module division have little influence on the period of drum level wave action and sloshing. The model was validated by the analytical solution theory of liquid’s wave action and sloshing in cuboid container, and the 3D graphics of drum level wave action and sloshing was also obtained. The model can dynamically reflect the rules of wave action and sloshing of water in the container exactly.
文摘通过采用水平二维的Boussinesq方程的FUNWAVE-TVD(fully nonlinear wave model with total variation diminishing)数值模型模拟了孤立波在三维珊瑚堡礁附近的波浪传播变形和岸滩爬高。首先通过已有的物理试验对模型进行了验证,随后分析了不同珊瑚礁宽度、口门宽度和口门位置对堡礁附近波浪传播变形和爬高的影响。珊瑚礁的存在能够有效减小孤立波的作用,随着珊瑚礁宽度的增加,波高减小得更为迅速,整个环岛的爬高值不断减小,背浪面附近的爬高值很小且存在一定的不稳定性。珊瑚礁对中央岛屿海岸爬高的削弱作用随着珊瑚礁宽度的增加而减小;随着口门宽度的增大,口门附近潟湖内波高增大的范围变大。口门宽度对爬高的影响在中央岛屿迎浪面一定范围内比较显著,随着口门宽度的增大,该范围内中央岛屿迎浪面的爬高增大,最大爬高由双峰向单峰转变,在此范围之外的爬高值几乎不受口门宽度的影响;随着波浪来波方向与口门夹角的增大,口门附近潟湖内孤立波波高增大的范围减小,口门位置的改变仅仅影响岛屿上与口门相接近区域的爬高,这个影响区域随着波浪来波方向与口门夹角的增大向口门后方偏移。
文摘内孤立波(internal solitary wave,ISW)的传播扰动声速场,进而引起声场周期起伏。本文利用数值仿真的研究手段,研究了内孤立波在不同类型的初始发射角度声线的多个声线上转折区域中传播时对声场产生的周期性影响,分析了对于声线掠射角度、声能量到达时间这两个物理量的起伏频率,发现利用声学参数-时间曲线两点间的斜率与差值的偶次平方的乘积(product of the slope and the even square of the difference between two points of the acoustic parameter-time curve,PSD)处理方法更容易从这两种物理量中提取到显著的声场起伏特征。此外,讨论了高阶PSD参数对声场起伏特征提取效果的影响。结果表明,合适的高阶PSD参数可以提高PSD处理方法对声场起伏特征的提取能力。
