It is of high interest to study laminar flow with mass and heat transfer phenomena that occur in a viscoelastic fluid taken over a vertical plate due to its importance in many technological processes and its increased...It is of high interest to study laminar flow with mass and heat transfer phenomena that occur in a viscoelastic fluid taken over a vertical plate due to its importance in many technological processes and its increased industrial applications.Because of its wide range of applications,this study aims at evaluating the solutions corresponding to Casson fluids’oscillating flow using fractional-derivatives.As it has a combined mass-heat transfer effect,we considered the fluid flow upon an oscillatory infinite vertical-plate.Furthermore,we used two new fractional approaches of fractional derivatives,named AB(Atangana–Baleanu)and CF(Caputo–Fabrizio),on dimensionless governing equations and then we compared their results.The Laplace transformation technique is used to get the most accurate solutions of oscillating motion of any generalized Casson fluid because of the Cosine oscillation passed over the infinite vertical-plate.We obtained and analyzed the distribution of concentration,expressions for the velocity-field and the temperature graphically,using various parameters of interest.We also analyzed the Nusselt number and the skin friction due to their important engineering usage.展开更多
为提高光伏发电系统孤岛检测性能,在带正反馈的主动频移(Active Frequency Drift with Positive Feedback,AFDPF)法的基础上,将初始斩波因子设置为公共耦合点(Point of Common Coupling,PCC)电压频率的函数,设计一种变初始斩波因子的AF...为提高光伏发电系统孤岛检测性能,在带正反馈的主动频移(Active Frequency Drift with Positive Feedback,AFDPF)法的基础上,将初始斩波因子设置为公共耦合点(Point of Common Coupling,PCC)电压频率的函数,设计一种变初始斩波因子的AFDPF法.基于Qf0×Cnorm坐标系分析比较两种AFDPF法的检测盲区,并在MATLAB/Simulink环境下,对单相光伏并网发电系统的孤岛检测进行仿真.结果表明:使用AFDPF法时,反馈系数的大小与孤岛检测速度成正比,与检测盲区成反比;改进的AFDPF法可以根据负载的性质改变初始扰动的方向,检测盲区的位置也会随之向上或向下移动;改进的AFDPF法不仅适用于容性负载和感性负载,而且可减小检测盲区和加快检测速度.展开更多
Gold metallic nanoparticles are generally used within a lab as a tracer,to uncover on the presence of specific proteins or DNA in a sample,as well as for the recognition of various antibiotics.They are bio companionab...Gold metallic nanoparticles are generally used within a lab as a tracer,to uncover on the presence of specific proteins or DNA in a sample,as well as for the recognition of various antibiotics.They are bio companionable and have properties to carry thermal energy to tumor cells by utilizing different clinical approaches.As the cancer cells are very smaller so for the infiltration,the properly sized nanoparticles have been injected in the blood.For this reason,gold nanoparticles are very effective.Keeping in mind the above applications,in the present work a generalized model of blood flow containing gold nanoparticles is considered in this work.The blood motion is considered in a cylindrical tube under the oscillating pressure gradient and magnetic field.The problem formulation is done using two types of fractional approaches namely CF(Caputo Fabrizio)and AB(Atangana-Baleanue)derivatives,whereas blood is considered as a counter-example of Casson fluid.Exact solutions of the problem are obtained using joint Laplace and Hankel transforms,and a comparative analysis is made between CF and AB.Results are computed in tables and shown in various plots for embedded parameters and discussed.It is found that adding 0.04-unit gold nanoparticles to blood,increase its heat transfer rate by 4 percent compared to regular blood.It is also noted that the heat transfer can be enhanced in the blood with memory.展开更多
In this work,we use a Predictor–Corrector method to implement and derive an iterative solution of an existing Tuberculosis(TB)model with two fractional derivatives,namely,Caputo–Fabrizio fractional derivative and th...In this work,we use a Predictor–Corrector method to implement and derive an iterative solution of an existing Tuberculosis(TB)model with two fractional derivatives,namely,Caputo–Fabrizio fractional derivative and the new generalized Caputo fractional derivative.We begin by recalling some existing results such as the basic reproduction number R0 and the equilibrium points of the model.Then,we study the global asymptotic stability of disease-free equilibrium of the fractional models.We also prove,for each fractional model,the existence and uniqueness of solutions.An iterative solution of the two models is computed using the Predictor–Corrector method.Using realistic parameter values,we perform numerical simulations for different values of the fractional order.Simulation results permit to conclude that the new generalized Caputo fractional derivative provides a more realistic analysis than the Caputo–Fabrizio fractional derivative and the classical integer-order TB model.展开更多
文摘It is of high interest to study laminar flow with mass and heat transfer phenomena that occur in a viscoelastic fluid taken over a vertical plate due to its importance in many technological processes and its increased industrial applications.Because of its wide range of applications,this study aims at evaluating the solutions corresponding to Casson fluids’oscillating flow using fractional-derivatives.As it has a combined mass-heat transfer effect,we considered the fluid flow upon an oscillatory infinite vertical-plate.Furthermore,we used two new fractional approaches of fractional derivatives,named AB(Atangana–Baleanu)and CF(Caputo–Fabrizio),on dimensionless governing equations and then we compared their results.The Laplace transformation technique is used to get the most accurate solutions of oscillating motion of any generalized Casson fluid because of the Cosine oscillation passed over the infinite vertical-plate.We obtained and analyzed the distribution of concentration,expressions for the velocity-field and the temperature graphically,using various parameters of interest.We also analyzed the Nusselt number and the skin friction due to their important engineering usage.
文摘为提高光伏发电系统孤岛检测性能,在带正反馈的主动频移(Active Frequency Drift with Positive Feedback,AFDPF)法的基础上,将初始斩波因子设置为公共耦合点(Point of Common Coupling,PCC)电压频率的函数,设计一种变初始斩波因子的AFDPF法.基于Qf0×Cnorm坐标系分析比较两种AFDPF法的检测盲区,并在MATLAB/Simulink环境下,对单相光伏并网发电系统的孤岛检测进行仿真.结果表明:使用AFDPF法时,反馈系数的大小与孤岛检测速度成正比,与检测盲区成反比;改进的AFDPF法可以根据负载的性质改变初始扰动的方向,检测盲区的位置也会随之向上或向下移动;改进的AFDPF法不仅适用于容性负载和感性负载,而且可减小检测盲区和加快检测速度.
基金The research is supported by Universiti Teknologi PETRONAS YUTP Grant(Cost Center 015LC0-173).
文摘Gold metallic nanoparticles are generally used within a lab as a tracer,to uncover on the presence of specific proteins or DNA in a sample,as well as for the recognition of various antibiotics.They are bio companionable and have properties to carry thermal energy to tumor cells by utilizing different clinical approaches.As the cancer cells are very smaller so for the infiltration,the properly sized nanoparticles have been injected in the blood.For this reason,gold nanoparticles are very effective.Keeping in mind the above applications,in the present work a generalized model of blood flow containing gold nanoparticles is considered in this work.The blood motion is considered in a cylindrical tube under the oscillating pressure gradient and magnetic field.The problem formulation is done using two types of fractional approaches namely CF(Caputo Fabrizio)and AB(Atangana-Baleanue)derivatives,whereas blood is considered as a counter-example of Casson fluid.Exact solutions of the problem are obtained using joint Laplace and Hankel transforms,and a comparative analysis is made between CF and AB.Results are computed in tables and shown in various plots for embedded parameters and discussed.It is found that adding 0.04-unit gold nanoparticles to blood,increase its heat transfer rate by 4 percent compared to regular blood.It is also noted that the heat transfer can be enhanced in the blood with memory.
文摘In this work,we use a Predictor–Corrector method to implement and derive an iterative solution of an existing Tuberculosis(TB)model with two fractional derivatives,namely,Caputo–Fabrizio fractional derivative and the new generalized Caputo fractional derivative.We begin by recalling some existing results such as the basic reproduction number R0 and the equilibrium points of the model.Then,we study the global asymptotic stability of disease-free equilibrium of the fractional models.We also prove,for each fractional model,the existence and uniqueness of solutions.An iterative solution of the two models is computed using the Predictor–Corrector method.Using realistic parameter values,we perform numerical simulations for different values of the fractional order.Simulation results permit to conclude that the new generalized Caputo fractional derivative provides a more realistic analysis than the Caputo–Fabrizio fractional derivative and the classical integer-order TB model.
