Project supported by the National Natural Science Foundation of China(Nos.11725207,12021002,and 12072226)。
This paper studies the contact vibration problem of an elastic half-space coated with functionally graded materials(FGMs)subject to a rigid spherical punch.A static force superimposing a dynamic time-harmonic force ac...
Project supported by the National Natural Science Foundation of China(Nos.11971142,11871202,61673169,11701176,11626101,and 11601485)。
The unavailability of wasted energy due to the irreversibility in the process is called the entropy generation.An irreversible process is a process in which the entropy of the system is increased.The second law of the...
Project supported by the National Natural Science Foundation of China(Nos.11372015,11832002,11290152,11427801,and 11972051)。
Turbo-machineries,as key components,have wide applications in civil,aerospace,and mechanical engineering.By calculating natural frequencies and dynamical deformations,we have explained the rationality of the series fo...
supported by the Innovation in Science Pursuit for the Inspired Research(INSPIRE)Program(No.DST/INSPIRE Fellowship/[IF 150253])
The triple diffusive convection in an Oldroyd-B fluid-saturated porous layer is investigated by performing linear and weakly nonlinear stability analyses. The condition for the onset of stationary and oscillatory is d...
The peristaltic pumping of a viscous compressible liquid mixed with rigid spherical particles of the same size in a channel is theoretically investigated. The momentum equations for the compressible flow are solved wi...
Project supported by the National Natural Science Foundation of China(Nos.51439007 and11372232);the Specialized Research Fund for the Doctoral Program of Higher Education(No.20130141110016)
A numerical analysis model based on two-dimensional shallow water differential equations is presented for straight open-channel flow with partial vegetation across the channel. Both the drag force acting on vegetation...
supported by the Beijing Higher Education Young Elite Teacher Project(No.YETP0387);the Fundamental Research Funds for the Central Universities(Nos.FRF-TP-12-108A and FRF-BR13-023);the National Natural Science Foundation of China(Nos.51174028 and 11302024)
The cases of large Reynolds number and small expansion ratio for the asym- metric laminar flow through a two-dimensional porous expanding channel are considered. The Navier-Stokes equations are reduced to a nonlinear ...
Project supported by the National Natural Science Foundation of China(Key Program)(Nos.11132004 and 51078145)
Based on the precise integration method (PIM), a coupling technique of the high order multiplication perturbation method (HOMPM) and the reduction method is proposed to solve variable coefficient singularly pertur...
supported by the National Natural Science Foundation of China(Key Program)(Nos.11132004 and 51078145)
This paper presents a high order multiplication perturbation method for sin- gularly perturbed two-point boundary value problems with the boundary layer at one end. By the theory of singular perturbations, the singula...
supported by the National Natural Science Foundation of China(Nos.11072107,91016022,and 11232007)
The pth moment Lyapunov exponent of a two-codimension bifurcation systern excited parametrically by a real noise is investigated. By a linear stochastic transformation, the differential operator of the system is obtai...