This paper discusses the controllability problem of complex networks.It is shown that almost any weighted complex network with noise on the strength of communication links is controllable in the sense of Kalman contro...This paper discusses the controllability problem of complex networks.It is shown that almost any weighted complex network with noise on the strength of communication links is controllable in the sense of Kalman controllability.The concept of almost controllability is elaborated by both theoretical discussions and experimental verifications.展开更多
A mathematical model is presented for forced convective slip flow of a nanofluid past a radiating stretching/shrinking sheet.Melting boundary condition is taken into account.The nanofluid model involves the Brownian m...A mathematical model is presented for forced convective slip flow of a nanofluid past a radiating stretching/shrinking sheet.Melting boundary condition is taken into account.The nanofluid model involves the Brownian motion and thermophoresis effects.Lie group transformation is used to the transport equations as well as the boundary conditions to develop the similarity equations,before being solved numerically using the Runge-Kutta-Fehlberg fourth-fifth order numerical method.To show the effects of the controlling parameters on the dimensionless velocity,temperature,nanoparticle volume fraction,skin friction factor,local Nusselt,and local Sherwood numbers,numerical results are presented both in graphical and tabular forms.It is found that the friction factor decreases with slip and melting parameters for both stretching/shrinking sheets.It is also found that the Nusselt number decreases with the first order slip while it increases with melting and radiation parameters in both cases.Also,the Sherwood number decreases with the melting parameter both for radiating and non-radiating stretching/shrinking sheets.An excellent agreement is found between the present numerical results and published results.展开更多
基金supported by the National Natural Science Foundation of China under Grant Nos.61867005and 61763040the Fundamental Research Funds for the Central Universities for Beijing University of Posts and Telecommunications and for Northwest Minzu University under Grant Nos.31920160003 and 31920180115+1 种基金the Zhejiang Open Foundation of the Most Important Subjectsthe Gansu Provincial First-Class Discipline Program of Northwest Minzu University
文摘This paper discusses the controllability problem of complex networks.It is shown that almost any weighted complex network with noise on the strength of communication links is controllable in the sense of Kalman controllability.The concept of almost controllability is elaborated by both theoretical discussions and experimental verifications.
基金Universiti Sains Malaysia,RU Grant 1001/PMATHS/81125.
文摘A mathematical model is presented for forced convective slip flow of a nanofluid past a radiating stretching/shrinking sheet.Melting boundary condition is taken into account.The nanofluid model involves the Brownian motion and thermophoresis effects.Lie group transformation is used to the transport equations as well as the boundary conditions to develop the similarity equations,before being solved numerically using the Runge-Kutta-Fehlberg fourth-fifth order numerical method.To show the effects of the controlling parameters on the dimensionless velocity,temperature,nanoparticle volume fraction,skin friction factor,local Nusselt,and local Sherwood numbers,numerical results are presented both in graphical and tabular forms.It is found that the friction factor decreases with slip and melting parameters for both stretching/shrinking sheets.It is also found that the Nusselt number decreases with the first order slip while it increases with melting and radiation parameters in both cases.Also,the Sherwood number decreases with the melting parameter both for radiating and non-radiating stretching/shrinking sheets.An excellent agreement is found between the present numerical results and published results.
