Hydrodynamics Model of Temperature Variation due to Gas Flaring activities in some parts of Niger Delta Area of Nigeria

This research is investigating the Hydrodynamics Model of Temperature Variation due to Gas Flaring activities in some parts of Niger Delta Area of Nigeria. The unsteady flow of radiative heat flux is represented using mathematical techniques to model the basic equations of fluid in motion by radiative transfer process using general differential forms. Laplace transform is used to obtain expressions for Temperature, Velocity, etc to solve problems of heat flow. The use the continuity, momentum, Navier-Stokes, Dasey and Energy equations is exploited. The results show that radiation parameter influences the variation of temperature distribution in the environment

Review of Mathematical Modelling of the Time Dependent Schrodinger Wave Equation using Different methods

This paper focuses on the principle of time dependent Schrödinger equation (TDSE) which simplified so many reviewed ideas, class room teaching, research ideologies and personal study meant for advanced knowledge. In this research work,  the enlightenment of the basic concept of Schrödinger wave equation to improve knowledge about simple ways for mathematical understanding in deriving TDSE using different technique in more comprehensive approach. The research shows clearly that TDSE can be derived using time independent equation, wave mechanics, classical & Hamilton-Jacobi’s equations. Different methods and ways by different researchers/scholars have been used in the past. In this paper, we review the quantum field theoretic route to the Schrodinger wave equation which treats time and space as parameters, not operators. Furthermore, we recall that a classical (nonlinear) wave equation can be derived from the classical action via Hamiltonian-Jacobi theory. By requiring the wave equation to be linear we again arrive at the Schrodinger equation, without postulating operator relations. The underlying philosophy is operational. Surely, a particle is what a particle detector detects. This leads us to a useful physical picture combining the wave (field) and particle paradigms which points the way to the time-dependent Schrodinger equation. However, the result provides a comprehensive well derived derivation, derived using various approaches, which would make this research a unique one from different areas of specializations

Sediment Loss Responses to Rainfall on Different Surfaces in Obudu, Cross River State, Nigeria

The amount of runoff generated relative to different surface types given an amount of rainfall is very important in hydrogeomorphological studies. This study is aimed at examining sediment yield responses to rainfall on different surfaces in Obudu, Cross River State, Nigeria. Data were collected on rainfall amount, intensity, duration and sediment loss from three run off plots on natural vegetation surface, mulched and bare surfaces. The data collected were analyzed using Pearson’s moment correlation and multiple regression statistical techniques. The results revealed that rainfall amount correlated positively with sediment loss on vegetated, mulched and bare surfaces with r-values of 0.58 (p<0.01), 0.57 (p<0.01) and 0.95 (p<0.01) respectively. Rainfall intensity correlated positively with sediment yield on the vegetated, mulched and bare surfaces with r-values of 0.75 (p<0.01), 0.65 (p<0.01) and 0.60 (p<0.01) respectively. The negative correlations between rainfall duration and sediment loss suggests that sediment loss decreases on all the surfaces considered with r-values of - 0.15 (p<0.01), - 0.21 (P<0.01) and -0.06 (p<0.01) on vegetated, mulched and bare surfaces respectively. The study further revealed that the predictive variables explain 62.7%, 50.8 and 60.8% of sediment yield on bared, vegetated and mulched surfaces respectively as rainfall directly influences sediment loss, though the importance of surface types cannot be discarded