A New Idea of Fractal-Fractional Derivative with Power Law Kernel for Free Convection Heat Transfer in a Channel Flow between Two Static Upright Parallel Plates

Nowadays some new ideas of fractional derivatives have been used successfully in the present research community to study different types of mathematical models.Amongst them,the significant models of fluids and heat or mass transfer are on priority.Most recently a new idea of fractal-fractional derivative is introduced;however,it is not used for heat transfer in channel flow.In this article,we have studied this new idea of fractal fractional operators with power-law kernel for heat transfer in a fluid flow problem.More exactly,we have considered the free convection heat transfer for a Newtonian fluid.The flow is bounded between two parallel static plates.One of the plates is heated constantly.The proposed problem is modeled with a fractal fractional derivative operator with a power-law kernel and solved via the Laplace transform method to find out the exact solution.The results are graphically analyzed via MathCad-15 software to study the behavior of fractal parameters and fractional parameter.For the influence of temperature and velocity profile,it is observed that the fractional parameter raised the velocity and temperature as compared to the fractal operator.Therefore,a combined approach of fractal fractional explains the memory of the function better than fractional only.

Experts on Protection of Workers' Right to Remuneration in Accordance With Labor Law

Adozen experts of law gathered on April 1, 2003 to share their views on protection of the workers’ right to remuneration for their work in accordance with the Labor Law of the People’s Republic of China. That took place at a seminar jointly sponsored by the Human Rights and the Beijing-based Democracy and Law magazines and the Branch of Labor and Social Security Laws of the Beijing Society of Law. Participants were from the All-China Federation of Trade Unions,

“Running China in Accordance with the Law” Ensures Development of Human Rights

I. A Review of China＇s Judicial Protection for Human Rights To effectively protect human rights, a country needs to specify in its laws a complete series of basic rights its citizens shall enjoy. Meanwhile, the legal rights for an individual citizen would be meaningless even though such rights are prescribed in laws if, when the person＇s rights are infringed upon, he or she has no access to judicial relief. Administration of justice is the last resort, in fact the most effective, means.

Effect of thermal conductivity on heat transfer for a power-law non-Newtonian fluid over a continuous stretched surface with various injection parameters

The two-dimensional non-Newtonian steady flow on a power-law stretched surface with suction or injection is studied. Thermal conductivity is assumed to vary as a linear function of temperature. The transformed governing equations in the present study are solved numerically using the Runge-Kutta method. Through a comparison, results for a special case of the problem show excellent agreement with those in a previous work. Two cases are considered, one corresponding to a cooled surface temperature and the other to a uniform surface temperature. Numerical results show that the thermal conductivity variation parameter, the injection parameter, and the power-law index have significant influences on the temperature profiles and the Nusselt number.

A Darcy-Law Based Model for Heat and Moisture Transfer in a Hill Cave

A hill can be regarded as an environmental carrier of heat.Water,rocks and the internal moisture naturally pre-sent in such environment constitute a natural heat accumulator.In the present study,the heat and moisture trans-fer characteristics in a representative hill cave have been simulated via a method relying on the Darcy’s law.The simulations have been conducted for both steady and unsteady conditions to discern the influence of permeability and geometric parameters on the thermal and moisture transfer processes.The reliability of the simulation has been verified through comparison of the numerical results with the annual observation data.As revealed by the numericalfindings,the internal temperature of the hill accumulator is proportional to the permeability,outside surface temperature,overground height,underground constant temperature layer depth,and underground tem-perature of the hill,and it is inversely proportional to the horizontal size of the hill.Moreover,in the considered case,the order of magnitude of the permeability of the hill is contained in the range 10-15–10-13,and displays a certain sensitivity to the rainwater seepage.

Calculations of Heat Transfer in Torch Furnaces by Gas Volume Radiation Laws

The results stemming from the calculation of heat transfer in torch furnaces by the laws, relating to radiation from solid surfaces and gas volumes are analyzed. The article presents the laws for radiation from gas volumes and the procedure for calculating heat transfer in torch furnaces, fire boxes, and combustion chambers, elaborated on their basis. The example of heat transfer calculation in a torch furnace is given, and it is significantly non-uniform in nature. Non-uniformity of heat flux distribution on heating surfaces is given. According to the results of calculations, a new furnace is designed to decrease the non-uniformity of ingot heating, fuel rate, and increase the furnace capacity. The calculation results of the distribution of heat fluxes on the heating surfaces are given in changing torch geometric dimensions. These results are confirmed by experimental studies.

On energy boundary layer equations in power law non-Newtonian fluids

The hear transfer mechanism and the constitutive models for energy boundary layer in power law fluids were investigated.Two energy transfer constitutive equations models were proposed based on the assumption of similarity of velocity field momentum diffusion and temperature field heat transfer.The governing systems of partial different equations were transformed into ordinary differential equations respectively by using the similarity transformation group.One model was assumed that Prandtl number is a constant,and the other model was assumed that viscosity diffusion is analogous to thermal diffusion.The solutions were presented analytically and numerically by using the Runge-Kutta formulas and shooting technique and the associated transfer characteristics were discussed.

Minority Protection in Proceedings for the Settlement of Disputes Between Shareholders

“A limited company is more than a mere judicial entity, with a personality in law of its own： Behind it, or amongst it, there are individuals, with rights, expectations and obligations inter se”. The competitive attitude of the member states of the EU （European Union）, to become the most attractive for companies results in law reforms aiming at more flexible conflict between shareholders. Besides, the economic objective of avoiding a company＇s dissolution, the English, Dutch, and Belgian exit proceedings for the settlement of disputes between shareholders set up a social objective： protecting the interests of the minority shareholder of a private limited company. The paper consists of four chapters. The introduction lays out the necessity of buy-outs for shareholders of a private limited company. The first chapter describes the different facts justifying the buy-out of a shareholder on the basis of serious grounds. The second chapter presents the findings of a comparative research of the valuation of the shares transferred in an English, Dutch, and Belgian procedure. Finally, the conclusion summarises in which way the English, Dutch, and Belgian legal system protect the interests of the minority shareholder of a private limited company.

Second Law Analysis of the Optimal Fin by Minimum Entropy Generation

Based on the entropy generation concept of thermodynamics, this paper estabfished a general theoretical model for the analysis of entropy generation to optimize fins, in which the minimum entropy generation was selected as the object to be studied. The irreversibility due to heat transfer and friction was taken into account so that the minimum entropy generation number has been analyzed with respect to second law of thermodynamics in the forced cross-flow. The optimum dimensions of cylinder pins were discussed. It＇s found that the minimum entropy generation number depends on parameters related to the fluid and fin physical parameters. Varlatioms of the minimum entropy generation number with different parameters were analyzed.

A Quantitative Computational Method for Landslip Orientation of a Body Isolated from Bed Rock in Mountain by Using Spatial Analytic Geometry

The paper is going to give a quantitative computational method for “Landslip Orientation of a body isolated from bed rock in Mountain” only with spatial analytic geometry. The paper gives computational formulae in proper order for only landslip plane, just two landslip planes and just three landslip planes, and gives numerical examples. And the paper gives a general computational model for landslip orientation of m landslip planes. The author puts forward “Un-allowed Straight Angle Law”, “Critical Straight Angle Law” and “Allowed Straight Angle Law”. Finally, the author gives a project expression of a landslip plane on unit sphere.

Modeling of UAV path planning based on IMM under POMDP framework

In order to enhance the capability of tracking targets autonomously of unmanned aerial vehicle (UAV), the partially observable Markov decision process (POMDP) model for UAV path planning is established based on the POMDP framework. The elements of the POMDP model are analyzed and described. The state transfer law in the model can be described by the method of interactive multiple model (IMM) due to the diversity of the target motion law, which is used to switch the motion model to accommodate target maneuvers, and hence improving the tracking accuracy. The simulation results show that the model can achieve efficient planning for the UAV route, and effective tracking for the target. Furthermore, the path planned by this model is more reasonable and efficient than that by using the single state transition law.

Ground-borne vibration generated by high-speed train viaduct systems in soft-upper/hard-lower rock strata

An experimental study and theoretical analysis were carried out to explore the ground-borne vibration generated by elevated high-speed railway in rock strata.Taking a typical rail line constructed on rock area in China as the research object,a set of field tests was performed on Rizhao-Lankao High-Speed Railway,the bridge and ground vibrations were measured as trains passed at 330−340 km/h,then the transferring law and spatial distribution under individual frequencies were investigated.The experiment results indicate that the bridge frequency spectrum exhibited relatively high-frequency vibration peaks caused by short-wavelength irregularity;ground vibration farther than 30 m away can be amplified with a higher frequency and numerous components.Furthermore,the wave propagation equation of a stratified rock strata was established based on direct-stiffness method to explore the vibration attenuation rules via frequency-domain analysis.It is found that the rock area has a weaker correlation between vibration transmissibility and frequency,thicker and harder rock strata loss their vibration attenuation capacity.It can be concluded that the high-speed railways induced vibration on rock strata shows a wide frequency band and large amplitude,the design of reducing vibration aimed at specific frequency is important according to next more detailed numerical study.

Hamilton-Jacobi-Bellman equations and dynamic programming for power-optimization of a multistage heat engine system with generalized convective heat transfer law

A multistage endoreversible Carnot heat engine system operating between a finite thermal capacity high-temperature fluid reservoir and an infinite thermal capacity low-temperature environment with generalized convective heat transfer law [q∝(ΔT) m ] is investigated in this paper.Optimal control theory is applied to derive the continuous Hamilton-Jacobi-Bellman (HJB) equations,which determine the optimal fluid temperature configurations for maximum power output under the conditions of fixed initial time and fixed initial temperature of the driving fluid.Based on the universal optimization results,the analytical solution for the Newtonian heat transfer law (m=1) is also obtained.Since there are no analytical solutions for the other heat transfer laws (m≠1),the continuous HJB equations are discretized and dynamic programming algorithm is performed to obtain the complete numerical solutions of the optimization problem.The relationships among the maximum power output of the system,the process period and the fluid temperature are discussed in detail.The results obtained provide some theoretical guidelines for the optimal design and operation of practical energy conversion systems.

Mathematical model and general laws of wet compression

Wet compression is an effective way to enhance the performance of gas turbines and it has attracted a good deal of attention in recent years. The one sidedness and inaccuracy of previous studies,which took concentration gradient as mass transfer potential are discussed. The mass transfer process is analyzed from the viewpoint of non equilibrium thermodynamics,by taking generalized thermodynamic driving force as mass transfer potential,and the corresponding mass transfer coefficient is obtained using the heat and mass transfer equilibrium occurring between moist air and water droplets at wet bulb temperature for the sake of avoiding complex tests and providing more accurate formulas. A mathematical model of wet compression is therefore established,and the general laws of wet compression are investigated. The results show that the performance of atomizer is critical for wet compression and wet compression is more suitable for compressors with higher pressure ratio and longer compression time.

Gaussian wave formalism model for propagation of charged-particle beam through a first-order optical systems

An elliptical Gaussian wave formalism model of a charged-particle beam is proposed by analogy with an elliptical Gaussian light beam. In the paraxial approximation, the charged-particle beam can be described as a whole by a complex radius of curvature in the real space domains. Therefore, the propagation and transform of charged-particle beam passing through a first-order optical system is represented by the ABCD-like law. As an example of the application of this model, the relation between the beam waist and the minimum beam spot at a fixed target is discussed. The result, well matches that from conventional phase space model, and proves that the Gaussian wave formalism model is highly effective and reasonable.

Effects of PHC on Water Quality of Jiaozhou Bay Ⅵ.Transfer Laws

According to the investigation data of PHC content in Jiaozhou Bay,China from 1979 to 1983,the content,sources,horizontal,vertical and seasonal distribution,and transfer laws of PHC in the water of the bay were analyzed on spatial scale,and the processes of pollution sources,land transfer,sedimentation,and water transfer of PHC in Jiaozhou Bay were discussed on temporal scale. These laws and changing processes could provide theoretical foundation for studies on water transfer of PHC and other heavy metals.

Quantum process in living cells

Coherent quantum effects have been confirmed for several biological processes. These processes exist in the environment of a warm wet cell where decoherence can be a serious concern. Here we propose a mechanism whereby quantum coherence may extend through the water matrix of a cell. The model is based on coherent waves of established ultrafast energy transfers in water. Computations based on the model are found to agree with several experimental results and numerical and descriptive predictions are presented. We compute wave speed, ~156 km/s, and wavelength, ~9.3 nm, and determine that these waves retain local coherence. Close agreements are found for the dipole moment of water dimers, results of microwave radiation on yeast, and the Kleiber law of metabolic rates. The theory requires that a spherical cell must have a minimum diameter of ~20 nm to accommodate a standing energy wave. The quantum properties of the modelsuggest that cellular chemistry favors reactions that support perpetuation of the energy waves.

Application of First-Order Differential Equation to Heat Convection in Fluid

Differential equation is very important in science and engineering, because it required the description of some measurable quantities (position, temperature, population, concentration, electrical current, etc.) in mathematical form of ordinary differential equations (ODEs). In this research, we determine heat transferred by convection in fluid problems by first-order ordinary differential equations. So in this research work first we discuss the solution of ordinary homogeneous and non-homogeneous differential equation and then apply the solution of first-order ODEs to heat transferring particularly in heat convection in fluid.

Crime against Humanity<br/>—Uncovering Two Decades of Corruption in the FDA Regarding DMD Treatment

The world needs to know the facts as to how the FDA “protects” the public health by assuring the safety, effectiveness, and security of human drugs and biological products for human use. Recent uproar has surfaced over the FDA’s approval process on the unproven Duchenne Muscular Dystrophy (DMD) drug, Exondys 51 (Sarepta Therapeutics, Cambridge, MA, USA), but what many people do not know are the unlawful events that occurred nearly two decades ago on a proven and promising treatment for DMD.

General debate on ITEM 8——by Ms. Zhang Jianan, Chinese Association for International Understanding

I’m Zhang Jia’nan from Chinese Association for International Understanding.As a country under the rule of law,China respects and protects human rights in accordance with the principles of its Constitution.In the face of terrorism and extremism,China has taken actions to fightthese threats in accordance with the law,effectively curbing the frequent occurrences of terrorist activities and ensuring,to the maximum extent,the rights to life and development of people of all ethnic groups in China.