Anomalous diffusion in fractal porous medium

ＩｎｔｒｏｄｕｃｔｉｏｎＡｎｕｍｂｅｒｏｆｆｉｅｌｄｄａｔａｈａｖｅｓｈｏｗｎｔｈａｔｍａｎｙｋｉｎｄｓｏｆｐｏｒｏｕｓｍｅｄｉａｓｙｓｔｅｍｈａｖｅｄｉｆｆｅｒｅｎｔｋｉｎｄｓｏｆｈｅｔｅｒｏｇｅｎｅｏｕｓｓｔｒｕｃｔｕｒｅｉｎｄｉｆｆｅｒｅｎｔｓｃａｌｅ.Ｔｈｅｓｅｈｅｔｅｒｏｇｅｎｅｏｕｓｓｔｒｕｃｔｕｒｅａｓｓｏｃｉａｔｅｗｉｔｈｅａｃｈｏｔｈｅｒａｎｄｈａｖｅｓｏｍｅｋｉｎｄｓｏｆｓｅｌｆ＿ｓｉｍｉｌａｒｉｔｙａｎｄｗｅｃａｌｌｔｈｉｓｋｉｎｄｐｏｒｏｕｓｍｅｄｉａａｓｆｒａｃｔａｌｐ…     

The double resonances of magnetism and solid coupling of hydroelectric-generator stator system

ＩｎｔｒｏｄｕｃｔｉｏｎＮｏｗａｄａｙｓ,ｗｉｔｈｔｈｅｄｅｖｅｌｏｐｍｅｎｔｏｆｅｃｏｎｏｍｙ ,ｔｈｅｒｅｑｕｉｒｅｍｅｎｔｏｆｔｈｅｅｎｅｒｇｙｒｅｓｏｕｒｃｅｉｓｍｕｃｈｂｉｇｇｅｒｔｈａｎｉｎｔｈｅｐａｓｔｔｉｍｅ .Ｇｅｎｅｒａｔｏｒｓａｒｅｄｅｖｅｌｏｐｉｎｇｔｏｗａｒｄｓｔｈｅｌａｒｇｅｓｃａｌｅ.Ｔｈｅｈｙｄｒｏｅｌｅｃｔｒｉｃ＿ｇｅｎｅｒａｔｏｒｉｎＳａｎｘｉａｈｙｄｒｏｅｌｅｃｔｒｉｃｓｔａｔｉｏｎｂｅｌｏｎｇｓｔｏｌｉｍｉｔｅｄｃａｐａｃｉｔｙｇｅｎｅｒａｔｉｎｇｕｎｉｔ,ａｎ…     

Technical stability of nonlinear time-varying systems with small parameters

ＩｎｔｒｏｄｕｃｔｉｏｎＳｔａｂｉｌｉｔｙｐｒｏｂｌｅｍｓａｒｉｓｉｎｇｆｒｏｍｅｎｇｉｎｅｅｒｉｎｇａｐｐｌｉｃａｔｉｏｎｓａｒｅｕｓｕａｌｌｙｒｅｌａｔｅｄｔｏｃｅｒｔａｉｎｑｕａｎｔｉｔｉｅｓｔｈａｔｓｐｅｃｉｆｙｔｈｅｓｔｒｅｎｇｔｈｏｆａｄｍｉｓｓｉｂｌｅｄｉｓｔｕｒｂａｎｃｅｓａｎｄｔｈｅｌｉｍｉｔｓｏｎｄｅｖｉａｔｉｏｎｓｏｆｍｏｔｉｏｎｏｆｔｈｅｄｉｓｔｕｒｂｅｄｓｙｓｔｅｍ .Ｉｎｔｈｉｓｒｅｇａｒｄ ,ｔｈｅｃｏｎｖｅｎｔｉｏｎａｌＬｉａｐｕｎｏｖｓｔａｂｉｌｉｔｙｃｏｎｃｅｐｔ…     

Extended self-similar scaling law of multi-scale eddy structure in wall turbulence

ＩｎｔｒｏｄｕｃｔｉｏｎＭｕｃｈｗｏｒｋｈａｓｂｅｅｎｄｅｖｏｔｅｄｉｎｔｈｅｌａｓｔｆｅｗｄｅｃａｄｅｓｔｏｔｈｅｍｅａｓｕｒｅｍｅｎｔａｎｄｍｏｄｅｌｉｎｇｏｆｔｈｅｓｃａｌｉｎｇｌａｗｏｆｓｔｒｕｃｔｕｒｅｆｕｎｃｔｉｏｎｏｆｔｕｒｂｕｌｅｎｔｆｌｏｗｓ.Ｔｈｅｓｏ＿ｃａｌｌｅｄ“ｖｅｌｏｃｉｔｙｓｔｒｕｃｔｕｒｅｆｕｎｃｔｉｏｎｏｆｏｒｄｅｒｎ”ｆｏｒｔｕｒｂｕｌｅｎｔｆｌｏｗｓｉｓｄｅｆｉｎｅｄａｓ〈ΔＶ(ｒ) ｎ〉 ,ｗｈｅｒｅΔＶ(ｒ) =Ｖ(ｘ ｒ) -Ｖ(ｘ)ｉｓｔｈｅｖｅｌｏｃｉｔｙｃｏｍｐ…     

The effects of blood viscoelasticity on the pulse wave in arteries

ＩｎｔｒｏｄｕｃｔｉｏｎＴｈａｔｔｈｅｂｌｏｏｄｈａｓｖｉｓｃｏｅｌａｓｔｉｃｐｒｏｐｅｒｔｉｅｓｉｓａｗｅｌｌ＿ｋｎｏｗｎｆａｃｔ.ＴｈｅｒｅｓｅａｒｃｈｅｓｆｏｒｔｈｅｂｌｏｏｄｖｉｓｃｏｅｌａｓｔｉｃｉｔｙｂｙＧ .Ｂ .Ｔｈｕｒｓｔｏｎ[1～4]ａｎｄＳ .Ｃｈｉｅｎ[5 ]ｓｈｏｗｔｈａｔｔｈｅｂｌｏｏｄｎｏｔｏｎｌｙａｐｐｅａｒｓｔｈｅｖｉｓｃｏｅｌａｓｔｉｃｉｔｙｉｎｖａｒｉｏｕｓｏｓｃｉｌｌａｔｏｒｙｂｌｏｏｄｆｌｏｗｓ,ｂｕｔａｌｓｏｈａｓｑｕｉｔｅｓｔｒｏｎｇｅｌａｓｔｉｃｉｔｙｉｎｓｏｍｅ…     

Spline collocation approach to boundary value problems

A well-known Stokes problem is discussed by a cubic spline collocation method. Two consecutive cubic splines are obtained for the problem. The results by this method are compared with those of an orthogonal collocation method. The selection of the length of the subintervals of the range of the boundary value problem is also justified. The results obtained by these two methods are compared with the analytic solution. The methods involve simple algebra, and hence the calculations do not require the help of a computer. Necessary error analysis has been carried out.     

NUMERICAL INVESTIGATION OF EVOLUTION OF DISTURBANCES IN SUPERSONIC SHARP CONE BOUNDARY LAYERS

The spatial evolution of 2-D disturbances in supersonic sharp cone boundary layers was investigated by direct numerical simulation (DNS) in high order compact difference scheme. The results suggested that, although the normal velocity in the sharp cone boundary layer was not small, the evolution of amplitude and phase for small amplitude disturbances would be well in accordance with the results obtained by the linear stability theory (LST) which supposes the flow was parallel. The evolution of some finite amplitude disturbances was also investigated, and the characteristic of the evolution was shown. Shocklets were also found when the amplitude of disturbances increased over some value.     

A FORM INVARIANCE OF CONSTRAINED BIRKHOFFIAN SYSTEM

ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｓｔｕｄｙｏｆｔｈｅｄｙｎａｍｉｃｓｏｆＢｉｒｋｈｏｆｆｉａｎｓｙｓｔｅｍｉｓａｎａｃｔｉｖｅｂｒａｎｃｈｉｎｔｈｅｍｏｄｅｒｎｃｌａｓｓｉｃａｌｍａｔｈｅｍａｔｉｃｓａｎｄａｍｏｄｅｒｎｄｅｖｅｌｏｐｉｎｇｄｉｒｅｃｔｉｏｎｉｎｍａｔｈｅｍａｔｉｃｐｈｙｓｉｃｓ ,ａｎｄｃａｎｂｅａｐｐｌｉｅｄｔｏｑｕａｎｔｕｍｍｅｃｈａｎｉｃｓ,ｓｔａｔｉｓｔｉｃａｌｍｅｃｈａｎｉｃｓ ,ｂｉｏｌｏｇｉｃｐｈｙｓｉｃｓ,ｍｅｃｈａｎｉｃｓｏｆｓｐａｃｅｆｌｉｇｈｔａｎｄｓｏｍｅｆｉｅ…     

DYNAMIC ANALYSIS OF FLEXIBLE-LINK AND FLEXIBLE-JOINT ROBOTS

The dynamic modeling and simulation of an N-flexible-link and N-flexible joint robot is reported. Each flexible joint is modeled as a linearly elastic torsional spring and the approach of assumed modes is adopted to describe the deformation of the flexible-link. The complete governing equations of motion of the flexible-link-joint robots are derived via Kane's method. An illustrative example is given to validate the algorithm presented and to show the effects of flexibility on the dynamics of robots.