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This paper describes the soil-structure interaction effects in the case of the NPP main buildings with reactor VVER-1200/491 PWR. The simplified 1D and numerical 3D FE models of the subsoil are presented. The main reason of this methodology is proposed the frequency dependent complex function or as a spring-dashpot system, with the spring becoming negative for certain frequencies, which cannot be directly implemented in standard structural analysis codes. The methodology of the calculation of the impedance functions due to dynamic excitation are considered.

Nowadays, utilization of hydropower is still focussed on the development of large dams which have an effect on the natural environment and are often opposed by the people in the region. Producing electricity from small water resources, especially using the gravitational vortex method has currently attracted the interest of researchers. In this paper, a numerical study of the effect of vortex pool variation on the performance and flow field of gravitational water vortex power plant (GWVPP) are investigated. Numerical study based on the volume of fluid (VOF) method is developed in ANSYS FLUENT code program for analyzing the parametric studies of GWVPP. Cylindrical vortex pool coupled with gravitation type water turbine based on Nishi and Inagaki (2017) research, are modified become conical vortex pool type by varying the ratio of inlet diameter and outlet diameter (Din/Dout) by 3.26; 4.9; and 6.12. Turbulent model is approached using RNG k-epsilon and boundary conditions are set 2.838 kg/s for inlet mass flow rate, 0 Pa for open and outlet boundary. As a beginning result, the computational values of this study and experimental data of the torque and turbine output from Nishi and Inagaki (2017) agreed with one another. Later, for conical basin with variation of Din/Dout, it can be shown that the maximum velocity profile achieved in nearly to the discharge hole, in order from 6.12; 4.9; followed by 3.26 of the Din/Dout ratio respectively. It is supported by the increase in the Din/Dout ratio or decrease output hole, the air area increase and creat greater vortex circulation.

Let G(V, E) be a finite, simple and undirected graph with a vertex set V and an edge set E. An edge irregular total k-labeling is a map f : V ∪ E → {1, 2, …, k} such that for any two different edges xy and x’y’ in E, ω(xy) ≠ ω(x’y’) where ω(xy) = f(x) + f(y) + f(xy). The minimum k for which the graph G admits an edge irregular total k-labeling is called the total edge irregularity strength of G, denoted by tes(G). In this paper, we show the exact value of the total edge irregularity strength of any book graph of m sides and n sheets Bn(Cm) and of any double book graph of m sides and 2n sheets 2Bn(Cm).

The novel proposal of the Muon Catalyzed Fusion (MCF) concept is brought to light employing recent results on its relevant cross sections. In 1993, Kino et al. proposed an innovative scheme of MCF, employing non-adiabatic calculations of muonic atom-nucleus collision in the energy range from 10−3 eV to 100 eV, whereby the fusion in flight along with the formation of muonic molecular resonances was revisited [1]. In 1994, Froelich independently calculated the cross section up to 2 keV, and found the behavior of like resonance [2]. In 1996, Kino et al. examined these resonances, and concluded that the resonances were not suitable for MCF [3]. As a result, the research has been continued to examine the possibility of non-resonant In-flight Muon Catalyzed Fusion (IFMCF) calculating the muonic atom-nucleus collision cross-section with an improved precision within the optical model for nuclear reactions. The resultant fusion cross section was 2000 barns at 1.4 keV [4] which should be good enough to be used as a fast neutron source [5]. A research program has been initiated to confirm these results theoretically as well as experimentally. For the sake of the theoretical analysis, a few-body computer code has been put forward to handle the nuclear reactions for nucleon transfer. In this paper, an innovative compact reactor concept is proposed, based on IFMCF. In this concept, muons are injected to a gas target of D2 and T2, which is pressurized aerodynamically by the Mach shock wave using a supersonic stream generated in a Laval nozzle [6], [7]. It generates the output power of 28 MW with 1019 cm−3s−1 of fusions by supplying fresh muons of 1016 cm−3s−1 providing 1000 times of catalyzed cycle of reactions. To maintain Q values > 1, assuming 30% efficiency for thermal to electric conversion, the energy supply for muon production can be as low as 8 GeV/muons. One of the possible applications of muon catalyzed fusion is transmutation of long-lived fission products (LLFPs).

Geometric nonlinear solution of beam structures is presented. Basic assumptions are specified and incremental conditional equations are derived. Newton-Raphson iteration is used. Two finite element approaches are analysed in presented paper. The importance of nonlinear terms in geometric equation and their effect upon the result of the solution is the basis of this contribution. The solved examples of selected structures are presented and different approaches to the solution are compared.

There is a circuit (electronic firefly) in which a light receiving element and a light emitting element are added to a square wave oscillation circuit. Optical coupling by multiple circuits of this electronic firefly causes synchronization phenomenon. In this paper, we show the results of MapleSim analysis of the synchronization phenomenon.

The temperature in the nose region of a hypersonic vehicle can be extremely high, for example, reaching approximately 11 000 K at a Mach number of 36 (Apollo reentry). The bow shock wave is normal, or nearly normal, in the nose region of a blunt body. Fortunately, the nose geometry is a spherical sector; therefore, hypersonic aerodynamics near the nose of space vehicle can be studied with a hypersonic axisymmetric CFD code for flows without incidence and this greatly decreases the computational effort. For this reason, the present paper deals with the development of a hypersonic axisymmetric CFD code.

We apply the group analysis method to the plane one-dimensional equations of two-temperature gas dynamics. One class of invariant solutions is analyzed in the present paper. Stability of this class of solutions analytically as well numerically is considered.

R-mode oscillations have been identified as viable and promising targets for continuous gravitational wave searches, meanwhile, it would allow us to probe the interior of compact stars directly. As well as emitting gravitational wave, r-modes would strongly affect the thermal and spin evolution of compact stars. In this paper, we reviewed the theory behind the gravitational wave driven r-mode instability in a rapidly rotating compact star. In particular, we will focus on r-mode instability window, r-mode evolution and detectability of r-mode., contribution to the AIP Proceedings of the Xiamen-CUSTIPEN Workshop on the EOS of Dense Neutron-Rich Matter in the Era of Gravitational Wave Astronomy, Jan. 3-7, 2019, Xiamen, China. arXiv admin note: text overlap with arXiv:0806.1005, arXiv:1510.07051, arXiv:1209.5962 by other authors

The hyperon puzzle, the observation that the two-solar-mass neutron stars existence is hardly explained by all models predicting the appearance of hyperons in the neutron star core is currently one of the unsolved key issues in the physics of compact stars. An experimental study of the reaction (e,e′K) on 40Ca 48Ca nuclei to study the isospin dependence of hyperon dynamics has been proposed, by the Jefferson lab hypernuclear collaboration, and approved by the Jefferson Lab (JLab) PAC. This paper describes a proposal to make a complementary study by extending it to 208Pb, whose properties largely reflects those of the uniform nuclear matter present in the interior of the neutron stars making it the ideal one for this task.

In this paper we present conservation laws for the (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (CBS) equation. The CBS equation was first derived by Bogoyavlenskii and Schiff in different ways. Bogoyavlenskii used the modified Lax formalism, whereas Schiff derived the same equation by reducing the self-dual Yang-Mills equation.

A graph G with v vertices and e edges has a vertex magic total labeling (VMTL) if there is a 1-1 map taking vertices and edges onto the integers 1,2,3, … e + v such that for every vertex x, λ(x)+ ∑ λ(xy) = k for some constant k. In this paper, we study some of the basic properties of vertex magic total labeling and give some examples for the graphs which admits VMTL. In particular, we discuss about the existence of VMTL for complete and corona graphs.

In this paper, we demonstrated the implementation of General Purpose Graphics Processing Unit (GPGPU) programming in Compute Unified Device Architecture (CUDA) C for the simulation of natural convection flow in a side-heated three-dimensional (3D) rectangular cavity with a partition. In the present lattice Boltzmann method (LBM) D3Q19 multiple-relaxation-time (MRT) and D3Q6 single relaxation-time (SRT) model are implemented for the simulation of fluid flow and temperature phenomena, respectively. The parallel code is validated with the benchmark problem of a side heated cubic cavity. The results are presented by the temperature distribution in terms of isotherms, local and average Nusselt number and 3D view of iso-surface for the different Rayleigh number (Ra) and the Prandtl number fixed at Pr = 0.71. It is also observed that the present parallel implementation of the MRT-lattice Boltzmann simulation in GPU has a substantial computational effciency rather than the sequential programming in central processing units (CPU).

Current research paper deals with the numerical analysis of an idealized fighter jet wing in a multi-module aero-thermal-structural environment during supersonic flights. At high Mach number, heat is generated due to the friction between the body and the fluid flow, which must be considered for structural analyses. Six different Mach numbers ranging from 1.25 to 2.5 are chosen to understand the effect of viscous heating on the wing model. Ansys CFD is coupled with thermal/structural module to calculate the numerical results. It is observed that for Mach number 1.75 and beyond, equivalent Von-mises stress due to pressure load is almost identical. However, with viscous heating consideration, equivalent stress values are increased with higher Mach number which magnifies the significance of thermal loading on the structure

For a simple graph G = (V(G), E(G)) with vertex set V(G) and edge set E(G), a total labeling λ : V(G) ∪ E(G) → {1,2, … k} is called an edge-irregular total k-labeling of G if for any two di erent edges e = e1e2 and f = f1 f2 in E(G), we have wt(e) ≠ wt(f), where wt(e) = λ(e1) + λ(e) + λ(e2). Meanwhile, a total labeling θ : V(G) ∪ E(G) → {1, 2, …, k} is called a vertex-irregular total k-labeling of G if for any two different vertices u and v in V(G), we obtain wt(u) ≠ wt(v), where wt(u) = θ(u) + ∑uv∈E(G)θ(uv).The minimum value of k for which there exists an edge (a vertex)-irregular total k-labeling of G is called the total edge (vertex) irregular strength of G, denoted by tes(G) (tvs(G)). In this paper, we consider an expansion graph expan(Pm, Cn), where Pm is a path on m vertices and Cn is a cycle on n vertices. An expan(Pm, Cn) is a graph obtained from a copy of Pm and m + n copies of Cn by sticking the i-th copy of Cn at i-th vertex of Pm and sticking the j-th copy of Cn at the j-th edge of Pm. We determine tes(expan(Pm, Cn)) and tvs(expan(Pm, Cn)) for any integers m ≥ 2 and n ≥ 3.

In this paper, a comprehensive numerical study on viscous incompressible fluid flow and heat transfer through a loosely coiled square duct has been presented. Spectral method is used as a basic tool to solve the system of non-linear partial differential equations. Numerical calculations are carried out for the Dean number Dn = 1000 with a temperature difference across the vertical sidewalls for the Grashof number Gr = 100, where the outer wall is heated and the inner wall cooled. A rotation of the duct about the center of curvature is imposed in the positive direction for the Taylor number 0≤Tr≤2000 and combined effects of the centrifugal, Coriolis and buoyancy forces are investigated. First, steady solutions are obtained by the Newton-Raphson iteration method. As a result, three branches of asymmetric steady solutions with two- to four-vortex solutions are obtained. Then, time evolution calculations as well as power spectrum density of the unsteady solutions are obtained and it is found that the unsteady flow undergoes through various flow instabilities, if Tr is increased in the positive direction. Nusselt numbers are calculated as an index of convective heat transfer, and it is found that convective heat transfer is significantly enhanced by the secondary flow. Finally, a comparison between the numerical and experimental investigations has been provided. It is found that there is a good agreement between the numerical and experimental investigations.

Algebraic growth is an interesting concept that has developed as a sequel to eigenvalue problems in hydrodynamic stability theories. Basically the algebraic growth concept is embedded in the secular solution of elementary differential equations. For example, in simple harmonic motion, the secular solution exists for ẍ + k2x = Asin(kt). This secular solution emerges as the form tcos(kt). This amounts to a linear growth in the amplitude of cos(kt). This concept can be extended in forced solutions of hydrodynamic stability theory provided that we have a class of waves wherein the phase speed is constant or at least nearly constant. This is relatively uncommon in transition in laminar flows. However it seems that in the near wall region in turbulent flows, the travelling wave modes do have near constant phase speeds. This gives rise to very many interesting nonlinear interactions and algebraic growth mechanisms. Together these can make extensive contributions to the production of turbulence in the near wall region. The above aspects are discussed in this paper.

Charge Symmetry Breaking in Λ-hypernuclei is a subject that has been strongly debated since the 60’s, from both the experimental and the theoretical sides. It manifests experimentally in a difference between the Λ separation energies of mirror hypernuclei. For the s−shell this difference appears to be sizeable and can be reproduced only by sophisticated theoretical calculations; for the p−shell it suggests a much weaker effect. In this paper an experimental review is given, updated by the most recent results on s− and p−shell Λ-hypernuclei.

In this paper the concept of α(γ,γ′)-connected spaces, α(γ,γ′)-compact spaces and α(γ0,γ′0)-compact spaces have been introduced and some of its properties have been studied.

The purpose of this paper is to investigate the boundary layer flow and heat transfer of biomagnetic fluid over a stretching/shrinking sheet in the presence of magnetic dipole. We use Lie group transformation to develop similarity transformation. Using this special form of transformation namely Lie group transformation, the governing nonlinear partial differential equations are reduced into a system of couple nonlinear ordinary differential equations subject to associated boundary conditions. The reduced resulting equation are then solved numerically by using MATLAB routine boundary value problem solver bvp4c. The effects of the pertinent parameters such as ferromagnetic parameter, suction parameter, stretching parameter and momentum slip parameter on the flow field and temperature as well as skin friction coefficient and heat transfer rate are presented and discussed through graphically in this study. Results indicate that the dual solutions exits for some specific range of governing parameter. The results of the present study have been compared with those reported by previous results and found a very good agreement that supports the validity of the present analysis and the accuracy of our numerical computations.

In this paper the problem of mutual interaction of incompressible viscous fluid flow with an elastic structure is considered. A model problem of aiflow induced vibratioon of a simplified human vocal folds model is studied. The main attention is paid to the problem of the periodical collisions of vocal folds. First, these collisions are taken into account in the flow model by the application of a suitable inlet boundary condition. Further, in the structure model the contact is resolved with the aid of application of Hertz forces. Numerical results are shown.

The supercompression of matter caused by gravitational coupling, or self-gravitational forces, leads to density growth by several orders in magnitude. Keeping in mind the importance of self-gravitation in astrophysical processes like supernovae star evolution we consider it reasonable to develop a numerical technique based on the consistent approximation to the terms describing gravitational energy transfer into the kinetic energy of a matter in the star along its life cycle. In the paper, we propose an integrally-consistent difference scheme that utilizes the method of support difference operators thus providing a possibility to conform the balance between kinetic and gravitational energy increments or losses. According to this method, we use the result of the total gravitational energy varying and construct the symmetrized strain rate tensor as the base operator. The result of varying the gravitational energy of the system is a discrete convolution of the Newton gravitational tensor in the difference media under study, which exhaustively answers all the gravitational processes unfolding against the background of the hydrodynamic motion of matter. The symmetrized strain tensor governs the kinematic motion in a considered system. The conjugate operator related to the convolution of these tensors automatically gives the approximation to the gravitational forces acting in the interior of the balance volume of the difference model built via the support operator approach.

In the paper, the problem to find statistics of the response of structures with unilateral constraints when the structural pattern is affected by some uncertainty, is approached. In particular, the case of the elastic beam supported by an underlying rigid soil is investigated, under the assumption that the surface of the soil is not perfectly known, but is described by a suitable random process. It is shown that if the beam is discretized into a number of finite beam-elements, and only the ordinates of the soil profile under the nodal points are significant, the problem can be solved by the evaluation of a multidimensional integral. In most cases a Monte-Carlo procedure with “importance sampling” proves to be very efficient for numerical calculation of the above integral.

Using the integrable deformations method for a three-dimensional system of differential equations, in this paper we give integrable deformations of a known nonlinear monetary system. We study some dynamic properties of the system that is obtained by considering particular deformation functions. Moreover, we point out a chaotic behavior of this particular system.

In this paper, a spectral-based numerical result is presented for the fully developed two-dimensional flow of viscous incompressible fluid through a rotating curved rectangular duct. The bottom wall of the duct is heated while cooling from the ceiling. A rotation of the duct about the centre of curvature is imposed in the positive direction for the constant Dean number Dn = 1000 over a wide range of the Taylor number 0≤Tr≤2000. First, solution structure of the steady solutions is obtained by the Newton-Raphson iteration method. Then, we investigated unsteady solutions by time evolution calculations justified by power spectrum of the solutions, and it is found that when there is no rotation, the flow is chaotic but as the rotational speed increases, the chaotic flow turns into steady-state flow through periodic or multi-periodic flows. This study shows that combined effects of the centrifugal and Coriolis forces counteract each other in a nonlinear manner which results in to turn the chaotic flow into steady-state flow. The present study demonstrates the role of secondary vortices on convective heat transfer which shows that secondary flow enhances heat transfer in the flow. Typical contours of secondary flow patterns and temperature distribution are also obtained at several values of Tr, and it is found that the unsteady flow consists of two- to eight-vortex solutions if the duct rotation is involved in the present case.

The elastic scattering process Λp → Λp offers insights on multiple problems in nuclear physics. SU(3)F symmetry implies a close agreement between the Λp and pp scattering cross sections. The Λp elastic scattering cross section can also illuminate the structure of neutron stars. A data-mining project was started using multiple CLAS data sets taken for other purposes with photon beams on a long liquid hydrogen target. A Λ produced in a process such as γp → K+ Λ can interact with a second proton inside the target before either decaying or leaving the target. The good angular acceptance and momentum resolution of CLAS make it well-suited for this type of analysis, even though it was not designed for such a measurement. The scattered Λ can be identified from the π− p invariant mass. The four-vector of the initial Λ is then reconstructed in the process Xp → Λp, which shows a strong peak at the Λ mass with roughly twice the number of events as the existing world data sample. This observation opens up the possibility of other measurements using secondary beams of short-lived particles. This paper will discuss the current status of the analysis, and our plans for future work on this project.The elastic scattering process Λp → Λp offers insights on multiple problems in nuclear physics. SU(3)F symmetry implies a close agreement between the Λp and pp scattering cross sections. The Λp elastic scattering cross section can also illuminate the structure of neutron stars. A data-mining project was started using multiple CLAS data sets taken for other purposes with photon beams on a long liquid hydrogen target. A Λ produced in a process such as γp → K+ Λ can interact with a second proton inside the target before either decaying or leaving the target. The good angular acceptance and momentum resolution of CLAS make it well-suited for this type of analysis, even though it was not designed for such a measurement. The scattered Λ can be identified from the π− p invariant mass. The four-vector of the initial Λ is then reconstructed in the process Xp → Λp, which shows a strong peak at the Λ mass with roughly twice the number of events as the existing world data sample. This observation opens up the possibi...

In the paper we introduce Rv–generalized solution to the Stokes problem with singularity in a non-convex polygonal domain with one reentrant corner on its boundary. The weighted analogue of the LBB condition is proved. A new weighted finite element method is constructed. Results of numerical experiments have shown the efficiency of the method.

In this paper we use the Lagrangian action principle for magnetohydrodynamics (MHD) of Newcomb [1] to develop Noether’s theorem and conservation laws for MHD based on the Lagrangian map. We discuss the derivation of conservation laws associated with the Lie point symmetries of the equations and also conservation laws associated with fluid relabelling symmetries.

In this paper an oscillatory stream of anelectrically and viscoelasticleading liquid through a porous medium limited by two interminable vertical similar plates is talked about within the sight of heat source and radiation with impact of mass transfer and slip parameter. One of these plates is exposed to a slip-stream condition and other to a no-slip condition. The weight inclination in the channel wavers with time. An attractive field of uniform quality is connected toward the path opposite to the plates. The initiated attractive field is disregarded because of suspicion of little attractive Reynolds number. The temperature contrast of the two plates is additionally accepted sufficiently high to instigate heat transfer because of radiation. A shut form investigative answer for the issue is acquired. The investigative outcomes are assessed statistically and afterward exhibited graphically to talk about in part the impacts of various relevant constraints going into the issue. It is established that the speed profiles increment because of increment in Reynolds number or there is increment in Grashof number for mass transfer and a switch number is noted on the profiles of the speed at whatever point there is an expansion in either attractive parameter or heat source parameter.

Coflow-jet (CFJ) airfoil is a new type of zero-net mass flux active flow control of the airfoils. The concept was proposed by Zha et al from Miami University and presents several extraordinary aerodynamic characteristics like: super-lift coefficient, small or even negative drag coefficient and almost stall free behaviour. All these make the CFJ airfoils suitable for highly efficient airplanes including electric airplanes with distributed thrust. This paper presents an evaluation of the broadband aeroacoustic noise of a NACA 6415 CFJ airfoil and compares it with the basic NACA 6415. Numerical simulation for aerodynamic and aeroacoustic field using Navier –Stokes equations and aeroacoustic analogies are conducted with Ansys Fluent and Msc Actran solvers.