Doubly Curved Shallow Shells with the Rectangular Base Elastically Supported by Edge Arched Beams and Tie-Rods (Ⅱ)

In order to study the boundary conditions of integrated form(91a,d),firstlywe make use of trigonometrical series to express N_ξη(0,η),Q_ξ^*(0,η)of(97C,D).Suppose .     

System of set-valued mixed quasi-variational-like inclusionsinvolving H-η-monotone operators in Banach spaces

A new system of the set-valued mixed quasi-variational-like inclusions （SSMQVLI） involving H-η-monotone operators is studied in general Banach spaces without uniform smoothness. By using the resolvent operator technique of H-η-monotone operators, a new iterative algorithm for finding approximate solutions to SSMQVLI is proposed. It is shown that the iterative sequences generated by the algorithm converge strongly to the exact solution of SSMQVLI under appropriate assumptions. These obtained new results have extended and improved previous results.     

On the problem of preventing blowing-up and quenching for semilinear heat equation

In this paper,the global existence of solutions to the IVP=Δu+g(t)f(u) (t>0),u|_(t=0)=u_0(x)and the (?)PVPu_t=Δu-g(t,x)f(u)(t>0,x∈Ω),u|_(t-0)=u|_(?)(?)is investigated. As has been done in [6]the (?)duction of factor g(t) or g(t.x) innonlinear term is to prevent(?) occurrance of blowing-up or quenching of solutions.It isshown in this paper that most of the restrictions on f,g and u_0 in the theorems of[6] maybe cancelled or relaxed,that the smallness of g is required only for t large,and thatunder certain conditions controlling initial state can avoid blowing-up.     

The asymptotic expansions of singularly perturbed boundary value problems

In this paper we study the singularly perturbed boundary value problem:εy″=f(t,y,ε),y(0)=ξ(ε),y(1)=η(ε).where εis a positive small parameter.In the conditions:f_(?)(0,y,0)≥m_0 ,f_(?)(l,y,0)≥m_0 and f_(?)f(t,y,ε)≥0 ,we prove the existences,and uniformly valid asymptotic expansions of solutions for the given boundary value problems,and hence we improve the existing results.     

Regular perturbation solution of Couette flow(non-Newtonian)between two parallel porous plates: a numerical analysis with irreversibility

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 thermodynamics is used to define whether the given system is reversible or irreversible.Here,our focus is how to reduce the entropy of the system and maximize the capability of the system.There are many methods for maximizing the capacity of heat transport.The constant pressure gradient or motion of the wall can be used to increase the heat transfer rate and minimize the entropy.The objective of this study is to analyze the heat and mass transfer of an Eyring-Powell fluid in a porous channel.For this,we choose two different fluid models,namely,the plane and generalized Couette flows.The flow is generated in the channel due to a pressure gradient or with the moving of the upper lid.The present analysis shows the effects of the fluid parameters on the velocity,the temperature,the entropy generation,and the Bejan number.The nonlinear boundary value problem of the flow problem is solved with the help of the regular perturbation method.To validate the perturbation solution,a numerical solution is also obtained with the help of the built-in command NDSolve of MATHEMATICA 11.0.The velocity profile shows the shear thickening behavior via first-order Eyring-Powell parameters.It is also observed that the profile of the Bejan number has a decreasing trend against the Brinkman number.Whenηi→0(i=1,2,3),the Eyring-Powell fluid is transformed into a Newtonian fluid.     

Determination of the physical and interaction properties of sorghum grains:Application to computational fluid dynamics-discrete element method simulations of the fluid dynamics of a conical spouted bed

Computational simulation is an important tool for design and improvement of industrial units.Computational fluid dynamics(CFD)coupled with the discrete element method(DEM)has been applied to simulate drying equipment that usually involves gas-solid flow.For reliable results of CFD-DEM simulations,the properties related to the interactions of the material within the industrial equipment,such as the restitution or friction coefficients,must be known.In this study,CFD-DEM was applied to simulate the fluid dynamics inside a conical spouted bed operating with sorghum grains.The physical properties of the particulate phase and the particle-particle and particle-wall interaction parameters were determined by the direct measurement approach and applied to CFD-DEM.The interaction parameters were experimentally determined,including the particle-particle interaction parameters ofη=0.46,μ^S=0.79,andμ_R=0.70,and the particle-wall interaction parameters ofη=0.56,μ_S=0.75,andμ_R=0.40.The simulated minimum spouting velocity and characteristic curves were compared with the experimental results.There was good agreement between the simulated and experimental results.     

VISCOPLASTIC FIELD NEAR A PROPAGATING CRACK-TIP

An elastic-viscoplastic constitutive model is proposed instead of the usual elastoplasticmodel.It is assumed tha when crack-tip is approached the viscosity coefficient tends tozero(η=η_0r).Asympto-c analysis of the dynamic field near a propagating crack-tip isgiven,and the uniparameter solution is obtained.The numerical result is given for variousMach number and viscosity coefficient,Based on the asymptotic solution,a fracturecriterion is proposed and the stability of crack propagation is discussed.     

A class of incompletely exponentially fitted difference schemes for a singular perturbation problem

Some sufficient conditions are considered, under which the solutions of a class of incompletely exponentially fitted difference schemes converge uniformly in e, with orders one and two, to the solution of the singular perturbation problem: eu"+a(x)u’-b(x)u=f(x), for 0a>0, b(x)≥0. From these conditions.an incompletely exponentially fitted second-order scheme is derived. Finally, the results of some numerical experiments are given.     

SURFACE METALLIZATION OF CENOSPHERES AND PRECIPITATORS BY ELECTROLESS PLATING

This paper reports the use of a colloidal Pd^0 catalysis system to metallize the surface of precipitators separated from coal fly-ash, and metals such as Cu, Ni etc. are deposited on the precipitators surface. Alternatively, according to the characteristic surface of cenospheres, an Ag coating catalysis system is adopted to first deposit Ag on the cenospheres surface, followed, if necessary, by the deposition of other metals such as Cu, Ni, etc. on the Ag coating to produce monolayer and multilayer metal-coated cenospheres. The surface characteristics and the morphologies of the metal coatings are examined in detail with scanning electron microscopy (SEM), energy dispersive spectroscopy (EDX) and X-ray photoelectron spectroscopy (XPS) techniques. It can be shown that the quality of metal coatings derived from the Aa coatina catalysis system, is better than that of the colloidal Pd^0 catalysis system.     

An analytical approach to reconstruction of axisymmetric defects in pipelines using T(0, 1) guided waves

Torsional guided waves have been widely utilized to inspect the surface corrosion in pipelines due to their simple displacement behaviors and the ability of longrange transmission. Especially, the torsional mode T(0, 1), which is the first order of torsional guided waves, plays the irreplaceable position and role, mainly because of its non-dispersion characteristic property. However, one of the most pressing challenges faced in modern quality inspection is to detect the surface defects in pipeli...     

THEORY OF NON-PROPAGATION SOLITONS INCLUDING SURFACE-TENSION EFFECTS

In this paper, the surface-tension effects to non-propagating solitons is studied. Thusthe Larraza and Putterman’s theory has (?) modified. It is found that the surface-tensionmakes the frequency range of crosswise oscillation of solitions larger, the amplitude higherand the width smaller. When the surfactension coefficient is equal to zero (a=0), theresults are consistent with those of Larraza and Putterman.     

Determination of expression of continuous damage parameter for non-ageing materials under constant tensile load

Under constant uniaxial tensile load continuous damage parameter for non-ageingbrittle materials may be expressed asω(p/A_0)=g(p/A_0)+f_1(P/A_0)f_2(t)The determination of the expression for g(P/A_0) had been pointed out by[4].But howto determine the expressions for f_1(P/A_0)andf_2(t),the solution to this problem is notyet in sight.Now the solution to this problem is given by the present paper.This paper pointsout f_1(P/A_0)f_2(t)=Φ(P/A_0)t and the method of the determination of the expressionfor Φ(P/A_0).     

Theory of non-propagation solitons including surface-tension effects

In this paper, the surface-tension effects to non-propagating solitons is studied. Thus the Larraza and Putterman’s theory has been modified. It is found that the surface-tension makes the frequency range of crosswise Oscillation of solitions larger, the amplitude higher and the width smaller. When the surfacetension coefficient is equal to zero (α=0), the results are consistent with those of Larraza and Putterman.     

Singular perturbation of boundary value problem of systems for quasilinear ordinary differential equations

In this paper,we study the singular perturbation of boundary value problem of systemsfor quasilinear ordinary differential equations:x′=f(t,x,y,ε),εy″=g(t,x,y,ε)y′ h(t,x,y,ε),x(0,ε)=A(ε),y(0,ε)=Bε,y(1,ε)=C(ε)where xf.y,h,A,B and C belong to R″and a is a diagonal matrix.Under the appropriateassumptions,using the technique of diagonalization and the theory of differentialinequalities we obtain the existence of solution and its componentwise uniformly validasymptotic estimation.     

Effects of thermophoresis particle deposition and of the thermal conductivity in a porous plate with dissipative heat and mass transfer

Network simulation method(NSM) is used to solve the laminar heat and mass transfer of an electricallyconducting,heat generating/absorbing fluid past a perforated horizontal surface in the presence of viscous and Joule heating problem. The governing partial differential equations are non-dimensionalized and transformed into a system of nonlinear ordinary differential similarity equations,in a single independent variable,η. The resulting coupled,nonlinear equations are solved under appropriate transformed boundary conditions. Computations are performed for a wide range of the governing flow parameters,viz Prandtl number,thermophoretic coeffcient(a function of Knudsen number),thermal conductivity parameter,wall transpiration parameter and Schmidt number. The numerical details are discussed with relevant applications. The present problem finds applications in optical fiber fabrication,aerosol filter precipitators,particle deposition on hydronautical blades,semiconductor wafer design,thermo-electronics and problems including nuclear reactor safety.     

A Mathematical Interpretation of Dirac δ Function

The two conditions(see[1]p.58)δ(x)=0,for x≠0 (1.1)∫_( ∞)_(-∞)δ(x)dx=1 (1.2)of the Diracδfunction are inconsistent in standard analysis.In this paper,the author began by studying the integral of the func-tions on tbe nucleon a(o),and then,making use of the point function ininfinitesimal analysis to define the Diracδfunctionδ(x)so that it satis-fies the condition(1.2)andδ(x)=0.for x∈R and x≠0Some various examples of Diracδfunctions have been presented andsome properties of theδfunction have been derived.     

BOUNDARY AND ANGULAR LAYER BEHAVIOR IN SINGULAR PERTURBED QUASILINEAR SYSTEMS

In this paper,using the method of differential inequalities,we study the existence ofsolutions and their asymptotic behavior,as ε→0~+,of Dirichlt problem for second orderquasilinear systems.Depending on whether the reduced solution u(t)has or does not havea continuous first-derivative in(a,b),we study two types of asymptotic behaviour,thusleading to the phenomena of boundary and angular layers.     

Boundary and interior layer behavior for singularly perturbed vector problem

In this paper,we consider the vector nonlinear boundary value problem:εy~v=f(x,y,z,y′,ε),y(0)=A_1,y(1)=B_1εz~v=g(x,y,z,z′,ε),z(0)=A_2,z(1)=B_2whereε>0 is a small parameter,0≤x≤1 ,f and g are continuous functions in R~4,Under appropriate assumptions,by means of the differential inequalities,we demonstratethe existence and estimation,involving boundary and interior layers,of the solutions to theabove problem.     

Equations of Langmuir turbulence and Zakharov equations: smoothness and approximation

A family of systems parameterized by H > 0,which describes the Langmuir turbulence,is considered.The asymptotic behavior of the solutions(E H,n H) when H goes to zero is studied.The results of convergence of(E H,n H) to the couple(E,n) which is the solution to the Zakharov equations are stated.     

Light scattering:A review of particle characterization applications

This review covers the progress of light scattering applications in the field of particle characterization in the past decade.The review addresses static light scattering(the measurement of scattering intensities due to light-particle interaction at various spatial locations),dynamic light scattering(the measurement of scattering due to light-particle interaction as a function of time),and scattering tracking analysis(the tracking of particle movement through scattering measurement).