关于某类正则Fourier级数及其导级数的求和法

引入一类正则的Ｆｏｕｒｉｅｒ级数及其导级数的求和法，并得到了相应的求和定理、饱和类定理及逼近定理，同时改进并推广了［１］的求和定理，修正了［１］的饱和类定理。

关于Sine级数导级数的L^1收敛性

主要研究Sine级数导级数的L^1收敛性问题,文中引入了一些集类,并进一步讨论了这些集类之间的关系,得到了Sine级数导级数收敛的一些充要条件。

High-Order Radial Derivatives of Harmonic Function and Gravity Anomaly

The first through ninth radial derivatives of a harmonic function and gravity anomaly are derived in this paper. These derivatives can be used in the analytical continuation application. For the downward continuation of gravity anomaly, the Taylor series approach developed in the paper is equivalent theoretically to but more efficient and storage-saving computationally than the well-known gradient operator approach. Numerical simulation shows that Taylor series expansion constructed by the derived formulas for the radial derivatives of gravity disturbance is still convergent for height up to 4 km.

Significance of induced magnetic field and variable thermal conductivity on stagnation point flow of second grade fluid

In this study,the stagnation point transport of second grade fluid with linear stretching under the effects of variable thermal conductivity is considered.Induced magnetic field impact is also incorporated.The nonlinear set of particle differential equations is converted into set of ordinary differential equations through appropriate transformation.The resulting equations are then resolved by optimal homotopy analysis method.The effect of pertinent parameters of interest on skin friction coefficient,temperature,induced magnetic field,velocity and local Nusselt number is inspected by generating appropriate plots.For numerical results,the built-in bvp4 c technique in computational software MATLAB is used for the convergence and residual errors of obtained series solution.It is perceived that the induced magnetic field is intensified by increasing β.It can also be observed that skin friction coefficient enhances with increasing value of magnetic parameter depending on the stretching ratio a/c.For the validness of the obtained results,a comparison has been made and an excellent agreement of current study with existing literature is found.

Influence of phase shift drift and splitting ratio on 80 GHz optical mm-wave generation

For the scheme of 80 GHz optical millimeter-wave(mm-wave) generation using two cascaded Mach-Zehnder modulators(MZMs),an exact analytical solution for the optical mm-wave affected by phase shift drift and splitting ratio is derived with the method of expanding Bessel series.The results show that for the carrier and the fourth-order sideband,the influence caused by phase shift drift is dominant,while the first-order,the second-order and the third-order sidebands are influenced by both phase shift drift and splitting ratio.It follows that the undesired sideband suppression ratio is at least 35.9 dB when the splitting ratio deviation is 0.001,and the phase shift drift is 1o.The performance of the system is perfect if the accuracy is achieved.

Theoretical and experimental study of the thermal conductivity of nanoporous media

The nanoparticle thermal conductivity and nanoscale thermal contact resistance were investigated by molecular dynamics(MD) simulations to further understand nanoscale porous media thermal conductivity.Macroscale porous media thermal conductivity models were then revised for nanoporous media.The effective thermal conductivities of two packed beds with nanoscale nickel particles and a packed bed with microscale nickel particles were then measured using the Hot Disk.The measured results show that the nano/microscale porous media thermal conductivities were much less than the thermal conductivities of the solid particles.Comparison of the measured and calculated results shows that the revised combined parallel-series model and the revised Hsu-Cheng model can accurately predict the effective thermal conductivities of micro-and nanoparticle packed beds.