Vol 3 Issue 2 October 2015-March 2016

Abstract: Assessment of environmental radiation exposure potentials is a source of concern to nuclear scientist and policy makers as this could pose serious health threat to residence were radioactivity level exceeds the recommended value. This necessitates the need for survey of radionuclide level and exposure hazard parameters in all inhabitants to ascertain the risk to dwellers. In the present study, six soil samples were collected from playgrounds in six different schools in Zungeru township and analysed using gamma spectroscopy for radionuclide’s specific activity for Ra-226, Th-232 and K-40, from which radon equivalent, Annual Effective Dose Equivalent, Radon, External and Internal Hazard were calculated to determine the ionizing radiation exposure risk potentials. The mean measured specific activity and calculated exposure parameters were found to be 44.65±2.83 Bqkg-1(Ra-226), 13.07±2.35 Bqkg-1 (Th-232), 227.18±13.95 Bqkg-1(K-40), 73.626 nGy/h, 0.36118 mSv/y, 78.176 Bqkg-1, 0.218 and 0.223 respectively. The results obtained for both the radionuclide specific activity and the exposure hazard parameters compared well with similar analysis conducted in 19 other countries and the world average. In addition the calculated exposure hazard parameters are all within safe acceptable limit for public.  However, there is need to extend the conducted assessment of Naturally Occurring Radioactive materials (NORMs) to other environmental samples to attain a more general conclusion. These findings will serve a preliminary baseline data for radionuclide activity concentration in Zungeru.

Keywords: NORMS, Gamma spectroscopy, Specific activity, Exposure hazard parameters.

Title: Assessment of Naturally Occurring Radioactive Materials (NORMS) in Soils from Selected School Playgrounds in Zungeru

Author: Salihu Mohammed, Musa L. Bosso, Bala Suleiman, Aminu B. Usman

International Journal of Mathematics and Physical Sciences Research

ISSN 2348-5736 (Online)

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Title: Solutions of the Open Problems in Antimagic Valuations

Author: S.Vimala, A.Nagarani

International Journal of Mathematics and Physical Sciences Research

ISSN 2348-5736 (Online)

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Abstract: Double-diffusive stationary and oscillatory instabilities in a saturated porous layer of an elastico-viscous fluid heated and salted from below are investigated theoretically under the Darcy’s framework for a porous medium. The contributions of Soret and Dufour coefficients are taken into account in the analysis and Walters’ (model B') fluid model is used to characterize the Viscoelastic fluid. A linear stability analysis based upon normal mode technique is used to find the critical value of Rayleigh number on the onset of stationary and oscillatory convection. The effects of Soret and Dufour parameters along with other physical parameters viz., Solutal Rayleigh numbers, Lewis number and that of permeability parameter on the stability of stationary convection are studied analytically and shown graphically. For stationary convection, the analysis reveals that the Walters’ (model B') elastico-viscous fluid behaves like an ordinary Newtonian fluid. The stable solute gradient have a stabilizing effect, Lewis number and permeability parameter has a destabilizing effect on the system whereas the Soret and Dufour parameters have destabilizing and stabilizing effects on the system. The analysis also shows that the stationary convection is followed by the oscillatory convection for Walters’ (model B') elastico-viscous fluid. In the limiting cases some important results have been recovered.

Keywords: Double diffusive convection, Soret and Dufour effects, Walters’ (model B') fluid, Porous medium.

Title: Thermosolutal Convection in Walters (Model B’) Elastico-Viscous Fluid in Porous Medium In the Presence of Soret and Dufour Effects

Author: Megh Raj Goyal, Anubhav Goyal

International Journal of Mathematics and Physical Sciences Research

ISSN 2348-5736 (Online)

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Abstract: The aim of this paper is to establish a theorem associated with the product of the Fox’s H-function, the multivariable H-function and the general class of polynomials. The results of this theorem are unified in nature and producing a very large number of analogous results (new and known) involving simpler special functions and polynomials (of one or more variables) as special cases of our result.

Keywords: H-function, multi variable H-function, general class of Polynomials (Srivastava Polynomial).

Title: Theorem Pertaining To Some Product of Special Functions

Author: Neeti Ghiya, N. Shivakumar, Vidya Patil

International Journal of Mathematics and Physical Sciences Research

ISSN 2348-5736 (Online)

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Abstract: Development at Physical and Biological Sciences is like an adventure that requires careful consideration of some of its points (achievements) that are controversial.

Special Relativity only allows electromagnetism and quantum phenomena to be unified, because the corresponding masses must be virtual; this will be acceptable for photons and elementary particles such as electrons and consistent with Quantum Field Theory.

Total Unification turns out inadequate as it is evidenced by the unsucceful demonstration of gravity’s quantization.

True or inertial mass is born with protons and others compound particles, whose behaviour may be quantum and classical.

The known effect called dark matter in the Universe can be explained by assuming virtual mass to the radiation we are receiving. Besides, the frequency shift (Doppler effect) are due to   transverse and not radial velocity of the galaxies, which is compatible to Hubbles’s law; therefore, the expansion of the Universe is unproven and dark energy will be unnecessary.

The Evolution that governs the processes of life can be raised with a similar approach to   Physics, where it have been established an inner space  in nuclei’s atoms  similar  to  mind or consciousness of living beings;  this have strongly influence  with the exterior or ordinary space, so  Duality becomes the criterion or  paradigm most suited to  the behaviour of Nature.

Keywords: Development at Physical and Biological Sciences, frequency shift (Doppler Effect).

Title: The Adventure of Science

Author: Francisco Martínez Flores

International Journal of Mathematics and Physical Sciences Research

ISSN 2348-5736 (Online)

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Abstract: The method of calculating the difference principal stresses and strains in linearly viscoelastic optically sensitive polymer materials by the given picture of interference fringes, which is changing in time, is offered. The main value obtained using direct and inverse Laplace transforms.

Keywords: Photoelasticity, solid mechanics, stress, strain, polymers.

Title: Rheological Relation for Optical Materials in Dynamic Photoelasticity

Author: Nataliya Olali, Promise Mebine, Nataliya Zazimkо, Petro Malezhyk

International Journal of Mathematics and Physical Sciences Research

ISSN 2348-5736 (Online)

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Abstract: There are various methods for measuring the intensity of a scattered X-ray beam (hereafter referred to as diffracted X-ray beam) from crystalline materials, and each method has the respective advantage. The most common method is to measure the X-ray diffraction intensity from a powder sample as a function of scattering angle (it is also called diffraction angle) by using a diffractometer. Due to this fact, in this research note, we present the several key points of structural analysis which are required to obtain the structural information of powder samples.

Keywords: Structure, crystal system, X-ray, miller index.

Title: Structural analysis by X-ray Diffraction

Author: M.P. Sharma, Parijat Thakur, R. K. Pandey

International Journal of Mathematics and Physical Sciences Research

ISSN 2348-5736 (Online)

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Abstract: This paper derived the structure of the indices of control systems for a class of single – delay autonomous linear differential equations on any given interval of length equal to the delay h for non –negative time periods. The formulation and the development of the theorem exploited part of an existing result on the interval a compact interval. The derivation of the associated solution matrices exploited the continuity of these matrices for positive time periods, the method of steps and backward continuation recursions to obtain these matrices on successive intervals of length equal to the delay h. The proof was achieved using combinations of integrals, summation notations, change of variables technique integrals, as well as the method of steps to obtain these matrices on successive intervals of length equal to the delay h. The indices were derived using the stage – wise algorithmic format, starting from the right – most interval of length h. This theorem globally extends the time scope of applications of these matrices to the solutions of terminal function problems and rank conditions for controllability and cores of targets.

Keywords: Structure, Indices, control systems, Method of steps, Change of variables.

Title: The Structure of Indices of Control Systems for Single – Delay Autonomous Scalar Differential Equations

Author: Ukwu Chukwunenye

International Journal of Mathematics and Physical Sciences Research

ISSN 2348-5736 (Online)

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Abstract: This research article determined the structure of the coefficients associated with the optimal computa tional algorithm for control index matrices of single–delay autonomous linear neutral differential equations]. The development of these coefficients exploited the general computational structure of these matrices for positive time periods, skillful assignments of the 0-1 controlling parameters, change of variables techniques, the theory of linear difference equations, and the deployment of deft reasoning to generate easily solvable recursive equations for the coefficients.

Keywords: Algorithmic coefficients, Control, Differential Equations, Index, Method, Recursive, Steps.

Title: On The Determination of Computational Algorithmic Coefficients and Recursive Difference Equations for Control Index Matrices of Single–Delay Linear Neutral Scalar Differential Equations

Author: Ukwu Chukwunenye

International Journal of Mathematics and Physical Sciences Research

ISSN 2348-5736 (Online)

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