Abstract: A simple mathematical model together with the analysis of mass transfer  rate in a simple geometry has been considered and simple analytic techniques was employed and came up with the model of mass transfer rate in a simple geometry using wind driven effect only. Assuming the air temperature within the building to be uniform, this has led to the simplification and calculation of air volumetric rate and mass transfer rate. Various parameters have been used to see the effects of changes of the parameters to the overall flow distribution in the building.

Keywords: Mass Transfer Rate, Natural Ventilation, Mechanical Ventilation, Simple Geometry, Air Volumetric Rate, Bernoulli Equation.
Title: An Application of Mathematical Modeling to Mass Transfer Rate Distribution in a Simple Geometry Using Wind Driven Effect
Author: Salihu Sabiu Musa, Shehu Abba Adamu
International Journal of Novel Research in Physics Chemistry & Mathematics
ISSN 2394-9651
Novelty Journals

Abstract: This study is aimed at assessing the concentrations of some trace elements (chromium, nickel, lead, cadmium, zinc and arsenic) in tap water, borehole water, stream and sachet water consumed in Offa metropolis. The concentrations of these trace elements were determined using standard method of analysis. The results obtained indicated that chromium, lead, and cadmium concentrations have values of (0.01-0.27)mg/L,(0.05-0.09)mg/Land(0.00-0.08)mg/L respectively which above WHO threshold limits of heavy metals except in a sample where cadmium concentration falls within WHO threshold limits. The results for nickel shows the value of (0.004-0.04)mg/L, only four samples have concentrations above the WHO threshold limits. While the results for zinc and arsenic were within WHO threshold limits for all the samples analysed, with the concentrations values of (0.0014-0.013)mg/L and (0.0001-0.00138)mg/L. The statistical analysis shows that there is significant difference at P<0.05 in the concentrations of all the metals analysed in different water samples except in arsenic.

Keywords: AAS, Heavy metals, Offa metropolis, Portable water, UV-Spectrophotometer and WHO.
Title: HEAVY METAL ASSESSMENT IN PORTABLE WATER CONSUMED IN OFFA METROPOLIS
Author: Sholadoye.Q.Oyeniyi, Nwoye Elias, E
ISSN 2394-9651
International Journal of Novel Research in Physics Chemistry & Mathematics
Novelty Journals

Abstract: A modified version of SPSO known as CHF-PSO has been presented in this paper. In this version has been improved the convergence rate of the each member of the entire swarm. The location of each member has been updated by two probability conditions if one condition is fail to search the global optima then position of the each member of the population is updated by other existing condition of a probability. The performance of this modified approach has been tested on different types of classical/benchmark functions.

Keywords: HF-Hazard Function, CHF-Cumulative Hazard Function, Velocity and Position.
Title: A Conditionally Distributed Particle Swarm Optimization Approach
Author: Sharandeep Singh
ISSN 2394-9651
International Journal of Novel Research in Physics Chemistry & Mathematics
Novelty Journals

Abstract: Bessel functions are a series of solutions to a second order differential equation that arise in many diverse situations, Develops the different kinds of Bessel functions and explores the topic of zeroes. In a solution of a free particle (zero potential) time-independent Schrodinger equation as applied to cylindrical function of the second kind (Neumann functions) and cylindrical function of third kind (Hankel functions of first and second kind). we would see that the solution in each case which is present in the solution of Bessel differential equation are the same.

Keywords: Bessel Equation, Bessel Functions, Modified Bessel Equation, Modified Bessel Functions, Neumann Function, Hankel Functions, Schrodinger Equation.
Title:  Bessel Functions and Their Applications: Solution to Schrödinger equation in a cylindrical function of the second kind and Hankel Functions
Author: Faisal Adamu Idris, Aisha Layla Buhari, Tahir Usman Adamu
International Journal of Novel Research in Physics Chemistry & Mathematics
ISSN 2394-9651
Novelty Journals

Abstract: The general equation is developed for the simple one-dimensional case, and then the results are extended to the three-dimensional case. We have derived equation in Cartesian coordinate system and radial flow in an aquifer for confined aquifer and also given a simple analytical solution for estimation of drawdowns and groundwater flow rates into two-dimensional excavation, such as those in open-cut strip mines, for confined, leaky aquifers.
Keywords: Aquifer, Confined, Homogeneous, Saturated, Transmissivity, Two-dimensional.

Title: MATHEMATICAL MODELING OF FLOW IN CONFINED AQUIFER
Author: Waghmare R. V
International Journal of Novel Research in Physics Chemistry & Mathematics
ISSN 2394-9651
Novelty Journals