Showing papers in "Journal of International Academy Of Physical Sciences in 2013"

Effects of Kappa-Distributed Electrons on Ion-Acoustic Shock Waves in an e-p-i Plasma in Non-Planar Geometry

Abstract: Ion-acoustic (IA) shock wave in an unmagnitized plasmaconsisting of electrons, positrons and ions in non-planar geometry hasbeen investigated by employing reductive perturbation technique. In thisstudy, kappa-distributed electrons and Boltzmann distributed positronsare considered, and a modified Burgers' equation is derived. The equationis numerically solved to get the shock wave and it is observed that thebasic features of the waves are modified due to the non-planar geometry.It is found that the heights of the developed shock waves are different fordifferent geometries and in both cases the potential of the wave isnegative.

Performance Evaluation and Analysis of Qos Routing using OLSR and DSDV Protocol in Manets under Different Scenario using NS-2

Abstract: In recent years, mobile computing has enjoyed a tremendous rise in popularity. The continued minimization of mobile computing devices and the extraordinary rise of processing power available in mobile laptop computers combine to put more and better computer-based applications into the hands of a growing segment of the population. At the same time, the markets for wireless telephones and communication devices are experiencing rapid growth. Projections have been made that, in nowadays there are more than billion wireless devices in use. Therefore, the wireless mobile computers or Mobile Ad Hoc Networks (MANET) have become very necessary. As the real-time applications used in today’s wireless network grow, we need some schemes to provide more suitable service for them. We know that most of actual schemes do not perform well on traffic which is not strictly CBR. Therefore, in this paper we try to judge the impact, respectively, of mobility models and the density of nodes on the performances (End-to-End Delay, Throughput and Packet Delivery ratio) of routing protocol (Optimized Link State Routing) OLSR and (Destination- Sequenced Distance Vector) by using in the first a real-time VBR (MPEG-4) and secondly the Constant Bit Rate (CBR) traffic using NS-2 Simulator. Experimentally, we considered the three mobility models as follows Random Waypoint, Random Direction and Mobgen Steady State. The efficient model should be chosen after analysis. The experimental results illustrate that the behavior of OLSR and DSDV change according to the model and the used traffics. To compare the performance of OLSR and DSDV routing protocol, the simulation results were analyzed by graphical manner and trace file based on Quality of Service (QoS) metrics: such as throughput, drop, and delay. Quality of Service (QoS) support in mobile ad hoc networks (MANETs) is a very challenging task because of the dynamic topology, limited resources and wireless 420 Aditi Kumari, Neha Gandotra, S. C. Gupta and Shrikant Upadhyay link characteristics. Finally, the performance differentials based on network load, mobility, and network size have been analyzed. Finally, we compare the performance on both cases under different scenario and got an exact idea that which routing protocol is well suitable under different condition and what measure should be kept in mind before deploying any type of routing protocol for any network design. This paper will give an idea for proper selection of routing protocol to improve QoS so, that the overall efficiency of the network improve with less effort and time. The simulation result will prove to be beneficial for the engineering and researcher from network designing and selection point of view and effort has been make to calculate and judge the result as good as possible.

Design of Wavelet-Based Differentiator Filter

Abstract: Differentiators are used in many analog and digital systemsto take the derivative of a signal. The signal is affected by the presenceof the machine epsilon of the computer which may be considered to bean extremely high frequency noise of very small amplitude.Perturbation is also caused by the presence of noise in the signal. It isthe purpose of this work to construct a wavelet based band-pass filterthat removes the noise and computes the derivative of the signal.

Fixed Point Theorems under New Commuting Conditions

Abstract: The aim of the present paper is to employ new commuting conditions to obtain some fixed point theorems as applications of the new notions. The new definitions are proper generalisations of the existing notions of similar type.

Some Fixed Point Theorems of Generalized Contractive Mappings in Complete Cone Metric Spaces

Abstract: The purpose of this paper is to establish some fixed point theorems for generalized contractive mappings in the framework of complete cone metric spaces. The results presented in this paper synthesize and generalize the corresponding results of Huang and Zhang 9, Rezapour and Hamlbarani16 and many others from the current literature.

MHD Flow of a Dusty non-Newtonian Fluid through a Rectangular Channel

Abstract: Here, we have studied the MHD flow of a dusty non- Newtonian fluid through a rectangular channel in presence of a uniform transverse magnetic field and found the relation for mean velocity of flow and magnetic field which includes other parameters like non-Newtonian factor, electrical conductivity of fluid, non dimensional parameter and viscosity of fluid Similarly the effect of other parameters can be observed In the end, we have mentioned references

A Study of P*-Reducible Finsler Space with Douglas Tensor

Abstract: In this paper we consider a Finsler space whose v (hv)- torsion tensor ijk P is given by ( ) ijk P = λCijk + μ hijCk + hjkCi + hkiCj where μ & λ are scalar functions positively homogeneous of degree one in yi and call such a Finsler space as P∗ − reducible Finsler space. We have also proved that a P∗ − Randers space with vanishing Douglas tensor is a Riemannian space if the dimension is greater than three. Also we have worked out the role of P∗ − reducibility condition in special Finsler spaces.

Relationships of Some Useful Thermodynamic Properties of Liquid with Sound Velocity and Density Data

Abstract: In order to compute various useful and importancethermodynamic properties of liquids from sound velocity anddensity data, a number of correlations have been presented.Sound velocity and density data for numerous liquids areavailable in literature and the experimental measurements ofthese properties are very simple and convenient, also veryeconomical. Such data provides very simple methods ofdetermining the thermodynamic properties. Expressions of heatcapacity at constant pressure p C , heat capacity at constantvolume v C , heat capacities ratio (g ) , internal pressure int (P ) ,energy of vaporisation ( ) v △E , cohesive energy density (c)and solubility parameter (d ) are obtained in terms of density(r ) and sound velocity (u) on the basis of empirical relationsfor thermal expansivity (a ) and isothermal compressibility( ) T b proposed earlier from this lab.

Modelling and Analysis of the Role of Vaccination and Isolation on the Spread of Infectious Diseases

Abstract: In this paper, a four dimensional SIS epidemic nonlinear model with immigration is proposed and analyzed to study the role of vaccination and isolation on the spread of an infectious diseases. The model has been analyzed by using stability theory of differential equations and simulation. The model has two equilibria namely, disease free and non-trivial endemic equilibrium. It is shown that the disease free equilibrium is always unstable and the endemic equilibrium, if exists, becomes locally as well as nonlinearly stable under certain conditions. This analysis also implies that as the rate of vaccination of susceptible human population density or the rate of isolation of severely infected human population density increases, the spread of infectious disease decreases. A numerical analysis of the model is also performed which supports the analytical results.

Some Properties of Semi-Prime Ideals in Lattices

Abstract: Recently Yehuda Rav has given the concept of Semi-prime ideals in a general lattice by generalizing the notion of 0-distributive lattices. In this paper we have included several characterizations of Semiprime ideals. We give a simpler proof of a prime Separation theorem in a general lattice by using semi-prime ideals. We also study different properties of minimal prime ideals containing a semi prime ideal in proving some interesting results. By defining a p-algebra L relative to a principal semi prime ideal J , we prove that when L is 1-distributive, then L is a relative S-algebra if and only if every prime ideal containing J contains a unique minimal prime ideal containing J , which is also equivalent to the condition that for any x, y I L , x U y I J implies U + x = 1 + y . Finally, we prove that every relative S-algebra is a relative D- algebra if L is 1-distributive and modular with respect to J .

Certain Results on 3-Dissection of Ratio of Infinite Products

Abstract: The m-dissection of the power series 0 n n n P a q ¥ = =Σ is the representation of P as , 0 1 −1 = + + + m P P P P where . 0 Σ¥ = + + = n mn k k mn kP a q The m-dissection of continued fractions are represented in terms of power series and infinite products. In this paper, an attempt has been made to obtain results on 3- dissection of ratio of infinite products.

One Dimensional Numerical Integration by Monte Carlo Method using Random and Equispaced Points

Abstract: Monte Carlo Method has taken extensive applications in many fields using only random numbers generated by different and efficient random number generators. The proposed research work deals with the use of Monte Carlo Method for Numerical Integration. The basic requirements for Monte Carlo method is Sample should be random and Sample size should be large. So far the research work in this field only comprises the efficiency of random number generator and how the randomness of these numbers may be increased to get the best approximation of an integral using these numbers. Here we are proposing the same method for numerical integration but the approach takes a new idea of using the equispaced numbers instead of random numbers i.e. when we apply Monte Carlo method for numerical integration then instead of evaluating the function over the random points in the given range of integration we first divide the range of integration into n equal interval, obtain n equispaced points and then evaluate the integral over these points.

Magnetoydrodynamic Flow of a Dusty Fluid through an Equilateral Triangular Channel

Abstract: In this paper, the motion of an incompressible dusty fluidthrough an equilateral triangular channel placed under a transversemagnetic field has been studied by using the concerned equations of astraight channel after their modification for triangular channel withsuitable conditions and then through Fourier series method, an analyticalsolution for the velocity distributions has been obtained for both the fluidand particle phase. The effects of various parameters associated with thisflow problem such as magnetic field, dust-concentration, frequency ofoscillations and dust-relaxation on the steady and unsteady part ofvelocity distributions are analyzed by plotting the graphs. Especially fortransverse magnetic field, it has been found that steady and unsteady partof velocity distributions for both fluid and particle phase decrease withthe increase of the Hartman number.

Conformal- Kropina Change of Finsler Metric

Abstract: The purpose of the present paper is to find the necessary andsufficient conditions under which a Conformal-Kropina change becomesa Projective change. The condition under which a Conformal-Kropinachange of Douglas space becomes a Douglas space have been also found.

Absolute Banach Summability of Orthogonal Series

Abstract: In this paper we have proved a theorem on generalizedNorlund summability of infinite series, which generalizes variousknown results. However, the theorem is as follows:Theorem: Let {W(n)} be positive sequence such that (n)nW   is a non-increasing sequence and the series11n n (n)¥= WΣconverges and( )1logntu tdu Outd  F   =         ∫ as t®0,dbeing some fixed positive constant then the orthogonal series1( ) n nna f x¥=Σ is summable B at t = x , provided21log( ) ( ( ))nk n k O n n¥=Σ + = W .Definitions and Notations: Let { } n s be the sequence of partialsums of a series n Σa . Let the sequence { } 1( ) k kt n¥=is definedby288 Satish Chandra and Devendra Kumar Verma(1.1)101( ) ,kk n vvt n s k Nk−+== Σ IIf(1.2) lim ( ) kkt n s®¥= , a finite number, uniformly for allnI N , thenn Σu is said to be Banach summable to s 1 .Further if11( ) ( ) k kkt n t n¥+=Σ − < ¥ uniformly for all nIN ,then the series n Σu is said to be absolute Banach summable orsimply B -summable.2. Let { } n f be an orthogonal system defined in the interval(a,b) . We suppose that f (x) belongs to 2 L (a,b) and0( ) ( ) n nnf x a f x¥=»ΣWe denote by (2) ( ) n E f the best approximation to f (x) in themetric of2 L by means of polynomials of0 1 1 ( ), ( ),........ ( ) n f x f x f x − .It is well known that2(2) ( ) 1n k 2k nE f a¥= =   Σwe write n n n 1 l l l − D = −,for any sequence { } n l .(2.1) ( ) 212 1 ( )( , )( 1) ( )kvvv tg k t n vk k n v tbp−=W= ++ +ΣAbsolute Banach Summability of Orthogonal Series289(2.2)1( , ) ( , )( )(1 ) udJ k u g k t t u dtF dtbb¥− = −−∫( w k,u) = uv J (k,u)[x]= greatest integer not exceeding x1Uu =   and1tt =  

A Least Cost Assignment Technique for Solving Assignment Problems

Abstract: Assignment problem is a special kind of transportation problem in which each source should have the capacity to fulfill the demand of any of the destination. In other words, any operator should be able to perform any job regardless of his skills. Classical Assignment Problem (AP) is a well-known topic discussed in real physical world. We consider many classical problems from location theory which may serve as theoretical models for several logistic problems such that some linear or quadratic function attains its minimum. It turns out that linear objective function yields a linear assignment problem, which can be solved easily by several primal-dual methods like Hungarian method, Shortest augmenting path method etc. In this paper, a new approach is applied to solve all types of assignment problems with minimized or maximized objective functions, namely least cost assignment technique. This method proposes momentous advantages over similar methods. Proposed method is a systematic procedure and easy to apply.

The Propagation of Flare Generated Shockwaves in Self-Gravitating Solar Atmosphere

Abstract: The effects of an interplanetary magnetic field on the propagation of the flare generated shock wave in a non-uniformly distributed solar self-gravitating atmosphere are investigated by using an approximate analytic method of Whitham. The expressions for the velocity of shock wave and for the other flow variables behind weak and strong shocks are derived and discussed.

Generalized Degenerated Bernoulli Numbers and Polynomials

Abstract: The Generalized degenerate Bernoulli numbers ( ) Bm a l can be defined by means of the exponential generating function ( ) a l a l     ( ) / 1+ −1 1 t t . As further applications we derive several identities,recurrences,andcongruences involving theGeneralized Bernoulli numbers, Generalizeddegenerate Bernoulli numbers and polynomials.

Steady Flow between Two Porous Parallel Plates with Varying Viscosity

Abstract: Flow between two porous parallel plates with varying viscosity is studied. Exact solutions for velocity and shearing stress are obtained. For comparative studies, expressions of velocity for particular case when viscosity is constant are also obtained. Solutions are presented and discussed graphically with the variation of viscosity and Reynolds number.

On Quarter-Symmetric Metric Connection in an Indefinite Sasakian Manifold

Abstract: The object of the present paper is to study a quarter-symmetric metric connection in an indefinite Sasakian manifold. The relation between curvature tensors of quarter-symmetric metric connection and linear connection has been obtained. Also the properties of projective and conformal curvature tensors of quarter-symmetric metric connection in an indefinite Sasakian manifold have been studied.

Quantum Mechanical Study of Some Atomic Properties

Abstract: Invoking the atomic radius as size descriptor, we can easily predict and model so many physico chemical properties of atoms and molecules. Since it has not been possible to isolate an atom and to determineits size, the atomic size is not an observable. The theoretical paradigm to study the electronic structureand properties of atoms, molecules and crystalline bodies is quantum mechanics or wave mechanics. But, radius is not a quantum mechanical observable and cannot be evaluated easily. As we know that atomic radius is periodic in nature, we can compute the absolute size of atom invoking its periodic correlation with other periodic properties. Recently Chakraborty et al. published a new set of theoretical atomic radii on basis of other periodic properties namely effective nuclear charge and ionization energy. In this venture , we have used that particular atomic size to calculate another important periodic parameter namely global hardness (η). Using the inverse relationship between atomic size and global hardness, we have computed a set of atomic hardness for 103 elements of the periodic table. The express periodicity of periods and groups exhibited by the computed atomic hardness and the manifest relativistic effect of the lanthanoids and actinoids, etc. speak volumes for the efficacy of the present method. We have also applied our computed atomic hardness to evaluate another important periodic parameter, electrophilicity index (ω).The absolute electronegativity value evaluated by Chakraborty et al. is the necessary input to compute the electrophilicity index .A comparative study has been done with our computed electrophilicity index values with other reported results. A nice correlation supports the validity of this work.

Solving an Unsteady State Flow Problem by Meshless Local Petrov-Galerkin Method (Mlpg)

Abstract: In this paper, a meshless method called “Meshless LocalPetrov-Galerkin (MLPG)” is applied to a simple atmospheric model.The problem domain is represented by a set of arbitrarily distributednodes. The weight residual in MLPG method is confined to a verysmall local sub-domain of a node. The numerical integrations arecarried out over a local quadrature domain defined for the node, whichcan also be the local domain where the test (weight) function is defined.The moving least-square (MLS) approximation is employed forconstructing shape functions. Results obtained from the MLPG methodare compared with the corresponding exact solutions. Effects ofboundary condition are also investigated.

Effects of Radiation and Time Dependent Permeability on Unsteady Two-Dimensional Hydromagnetic Free Convective Flow and Heat Transfer through Porous Medium Bounded between Parallel Plates

Abstract: Aim of the present paper is to investigate the unsteady, two-dimensional, hydromagnetic, free convective flow with radiative heat transfer through porous medium in the presence of periodic cross-flow velocity and time dependent permeability. The porous medium is confined between two infinite parallel plates. The governing equations of fluid velocity and temperature are solved by perturbation technique and separation of variable technique. The coefficient of skin-friction and Nusselt number at the plates are derived, discussed numerically. Numerical values of skin-friction coefficient for various values of physical parameters are presented through table and the Nusselt number is shown through graphs.