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Other Physics

Applications and Applied Mathematics: An International Journal (AAM)

2014

Articles 1 - 6 of 6

Full-Text Articles in Physical Sciences and Mathematics

The Investigation Of Surplus Of Energy And Signal Propagation At Time-Domain Waveguide Modes, Özlem Işık, Zeynep F. Koçak, Emre Eroğlu Dec 2014

The Investigation Of Surplus Of Energy And Signal Propagation At Time-Domain Waveguide Modes, Özlem Işık, Zeynep F. Koçak, Emre Eroğlu

Applications and Applied Mathematics: An International Journal (AAM)

Classical waveguide theory has been developed bearing on Bernoulli’s product method which results in separation of space and time variables in Maxwell’s equations. The time-harmonic waveguide modes have been stated mathematically for transmitting signals along the waveguides. As a starting point, present studies on transverse-electric (TE) and transverse-magnetic (TM) waveguide modes with previous results are taken and exhibited in an advanced form. They have been obtained within the framework of an evolutionary approach to solve Maxwell’s equations with time derivative. As a result every modal field is obtained in the form of a product of vector functions of transverse coordinates …

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Solution Of The Sir Models Of Epidemics Using Msgdtm, Asad A. Freihat, Ali H. Handam Dec 2014

Solution Of The Sir Models Of Epidemics Using Msgdtm, Asad A. Freihat, Ali H. Handam

Applications and Applied Mathematics: An International Journal (AAM)

Stochastic compartmental (e.g., SIR) models have proven useful for studying the epidemics of childhood diseases while taking into account the variability of the epidemic dynamics. Here, we use the multi-step generalized differential transform method (MSGDTM) to approximate the numerical solution of the SIR model and numerical simulations are presented graphically.

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String Fluid Cosmological Model With Magnetic Field In Bimetric Theory Of Gravitation, M. S. Borkar, N. P. Gaikwad Jun 2014

String Fluid Cosmological Model With Magnetic Field In Bimetric Theory Of Gravitation, M. S. Borkar, N. P. Gaikwad

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, LRS Bianchi type I string fluid cosmological model with magnetic field in bimetric theory of gravitation is investigated by assuming barotropic equation of state for pressure and density and assuming the bulk viscosity to be inversely proportional to the scalar expansion. The source of energy momentum tensor is a bulk viscous fluid containing one dimensional string with electromagnetic field. The physical and geometrical properties of the model are discussed. The bulk viscosity affected the whole properties of the model.

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Evaluation Of Schwarz Child’S Exterior And Interior Solutions In Bimetric Theory Of Gravitation, M. S. Borkar, P. V. Gayakwad Jun 2014

Evaluation Of Schwarz Child’S Exterior And Interior Solutions In Bimetric Theory Of Gravitation, M. S. Borkar, P. V. Gayakwad

Applications and Applied Mathematics: An International Journal (AAM)

In this note, we have investigated Schwarz child’s exterior and interior solutions in bimetric theory of gravitation by solving Rosen’s field equations and concluded that the physical singularities at r = 0 and at r =2M do not appear in our solution. We have ruled out the discrepancies between physical singularity and mathematical singularity at r = 2M and proved that the Schwarzschild exterior solution is always regular and does not break-down at r = 2M. Further, we observe that the red shift of light in our model is much stronger than that of Schwarz child’s solution in general relativity …

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Effects Of Radiation Absorption And Mass Transfer On The Free Convective Flow Passed A Vertical Flat Plate Through A Porous Medium In An Aligned Magnetic Field, V. Manjulatha, S. V. K. Varma, V. C. C Raju Jun 2014

Effects Of Radiation Absorption And Mass Transfer On The Free Convective Flow Passed A Vertical Flat Plate Through A Porous Medium In An Aligned Magnetic Field, V. Manjulatha, S. V. K. Varma, V. C. C Raju

Applications and Applied Mathematics: An International Journal (AAM)

This article analyses the effects of radiation absorption and mass transfer on the steady free convective flow of a viscous, incompressible and electrically conducting fluid past an infinite vertical flat plate through a porous medium with an aligned magnetic field. Analytical solutions for concentration, temperature, and velocity are obtained by solving the governing equations in two cases namely (i) when the plate is at uniform temperature and concentration and (ii) when the plate is at constant heat and mass flux. Further the rate of mass transfer in terms of the Sherwood number, rate of heat transfer in terms of Nusselt …

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Finite Thermal Wave Propagation In A Half-Space Due To Variable Thermal Loading, Abhik Sur, M. Kanoria Jun 2014

Finite Thermal Wave Propagation In A Half-Space Due To Variable Thermal Loading, Abhik Sur, M. Kanoria

Applications and Applied Mathematics: An International Journal (AAM)

The thermoelastic interaction for the dual-phase-lag (DP) heat conduction in a thermoelastic half space is studied in the light of two-temperature generalized thermoelasticity theory (2TT). The medium is assumed to be initially quiescent. Using Laplace transform, the fundamental equations are expressed in the form of a vector-matrix differential equation which is then solved by statespace approach. The obtained general solution is then applied to the mechanical loading and various types of thermal loading (the thermal shock and the ramp-type heating). The numerical inversion of the Laplace transforms are carried out by the method of Fourier series expansion technique. The numerical …

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