652 publications from this institution
Is the world really more than four dimensional or for instance an eleven dimensional M-theory as proposed by Witten? The present Letter suggests that it is an eleven dimensional fractal. Based on this assumption it is shown that the probability of quantum entanglement is exactly equal to that predicted by L. Hardy’s well known criteria. It is further argued that this is an indirect but strong indication for the reality of the Cantorian fractal nature of micro spacetime.
In this paper, a reliable technique for calculating angular frequencies of nonlinear oscillators is developed. The new algorithm offers a promising approach by constructing a Hamiltonian for the nonlinear oscillator. Some illustrative examples are given.
This paper is an elementary introduction to the concepts of the homotopy perturbation method. Particular attention is paid to giving an intuitive grasp for the solution procedure throughout the paper.
Article Hamiltonian Approach to Duffing-harmonic Equation was published on December 1, 2010 in the journal International Journal of Nonlinear Sciences and Numerical Simulation (volume 11, issue Supplement).
No abstract is provided for this article.
A local fractional equation is established for fractal heat transfer in silk cocoon hierarchy, and the local fractional variational iteration method is adopted to solve the equation analytically. The result can well explain the intriguing phenomenon for pupa's survival at extremes of weather from negative 40 degrees to 50 degrees.
"From spider spinning to bubble electrospinning and from the wool structure to carbon super-nanotubes.." Materials Science and Technology, 26(11), pp. 1273–1274
A variational principle is established for the heat balance in a finned tube heat exchanger used in hydride hydrogen storage systems, an approximate solution is obtained, which can be used for optimal design and study on effects of various parameters on the thermal property of the heat exchanger.
The semi-inverse method is used to establish a variational principle for the Dirichlet boundary value problem with impulses. All the boundary conditions can be obtained as natural conditions by making the variational principle stationary.
No abstract is provided for this article.
In this paper, a nonlinear oscillator with no possible small parameters is considered. The traditional perturbation techniques can not be applied to such a problem. By linearizing the nonlinear system, and embedding an artificial parameter, we obtain an approximate solution which is valid on the whole solution domain, and the results are in remarkable agreement with the exact one even in the case where the amplitude of the oscillator tends to infinite.
The lotus leaf surface is modified by covering nanofibers to check its wetting property. The well-known lotus effect of the modified surface is greatly weakened, and a hydrophilic property is found. The geometric potential theory is used to ex-plain the phenomenon, it shows that the two adjacent nanofibers can produce a high geometric potential to push water molecules to move along the fibers, as a result, a hydrophilic surface is predicted after surface modification. An experiment is designed to elucidate the main factors affecting the wetting property of the modified surface of lotus leaf.
Purpose This paper aims to study the magneto-radiative gas (water vapor) on an unsmooth boundary. Design/methodology/approach This paper provided a numerical treatment via the implicit Chebyshev pseudo-spectral method to investigate unsteady compressible magneto-radiative gas (water vapor Pr = 1) flow near a heated vertical wavy wall through porous medium in the presence of inclined magnetic field. The impacts of viscous dissipation, temperature-dependent fluid properties, thermal conductivity and viscosity in the presence of nonlinear thermal radiation are studied. The sinusoidal surface is transformed into a flat one using a suitable transformation. The comparison figures of published data with the present outcomes illustrate a good match. The present steady-state outcomes are presented for the temperature, velocity, Nusselt number and the shearing stress through figures for several interested physical parameters, namely, compressibility, magnetic, radiation, viscosity–temperature variation, thermal conductivity–temperature variation, surface sinusoidal waveform and porous parameters. Findings The present numerical outcomes confirm the importance of applying nonlinear thermal radiation cases in all studies that investigate heat transfer under the influence of thermal radiation. Originality/value A mathematical model is established for a wavy boundary, and Chebyshev pseudo-spectral method is adopted for the numerical study.
No abstract is provided for this article.
In this paper, the linear and nonlinear Mathieu equations without a small parameter are considered, which cannot be solved by the perturbation techniques. However, using the variational iteration method, their periodic solutions can be readily obtained with high accuracy. In addition, some special cases have been discussed, where the perturbation solutions are meaningless even when there exists a small parameter.
No abstract is provided for this article.
No abstract is provided for this article.
Extraction of atmospheric water using a passive mechanism instead of a complex and advanced equipment has become an emerging subject. There is a clear record in MengxiBitan by Shen Kuo(1031~1095) that an ink slab has the ability to collect water from the air. Its mechanism is exactly similar to the Fangzhu [1], a recently investigated device for atmospheric water harvesting (AWH). Based on the Fangzhu device, a mathematical model for the AWH mechanism in ink slab-like materials is suggested. Using He’s frequency formulation and two-scale fractal derivatives the possible working mechanism of ink slab-like materials is investigated. The potential applications of ink slab-like structures for AWH in interior and exterior architecture are also presented and discussed. It is revealed that efficiency of the slabs highly depends on velocity and temperature of the flowing air and also its low-frequency characteristics.
A three dimensional problem can be approximated by either a two-dimensional or one-dimensional case, but some information will be lost. To reveal the lost information due to the lower dimensional approach, two-scale mathematics is needed. Generally one scale is established by usage where traditional calculus works, and the other scale is for revealing the lost information where the continuum assumption might be forbidden, and fractional calculus or fractal calculus has to be used. The two-scale transform can approximately convert the fractional calculus into its traditional partner, making the two-scale thermodynamics much promising.
