Department of Physics & Materials Science: Recent submissions
Now showing items 141-160 of 164
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Weak Solution of the Singular Cauchy Problem of Euler-Poisson-Darboux Equation for n= 4
(2013)We consider the singular Cauchy problem of Euler-Poisson-Darboux equation (EPD) of the form utt+ k t ut=∇ 2u u (x, 0)= f (x), ut (x, 0)= 0 where∇ 2 is the Laplacian operator in R n, n will refer to dimension and k a real ... -
On the Solution of Confined Aquifer Flow Equations: Finite Difference Approximations
(Hikari Ltd, 2013)In general, groundwater flow in porous media on a microscopic level is three-dimensional. However, when considering regional flow problems ie groundwater flow on a macroscopic level, it is noted that because of the low ... -
Solutions of second-order partial differential equations in two independent variables using method of characteristics
(nternational Journal of Engineering and Mathematical Sciences, 2013-06-01)In this paper we have classified second order linear PDEs into three types, hyperbolic, parabolic and elliptic. Hyperbolic equations have two distinct families of (real) characteristic curves, parabolic equations have a ... -
Elementary partial differential equations
(Lambert, 2013-06-01)The importance of partial differential equations cannot be gainsaid. They are used in science and engineering. Many natural phenomena such as sound, heat, electrostatics, electrodynamics, fluid flow etc occurring in science ... -
Modelling Stratified Flow in an Inclined Flow Channel with a Bend
(International Scientific Press, 2013-07-01)Multi-phase flows modelling in wellbore has always been a problem to the petroleum and many other industries. In the petroleum industry, correlations are presently in use, most of which are obsolete as their application ... -
Mathematical model of pneumonia and HIV/AIDS coinfection in the presence of protection
(2015)In this paper, a deterministic co-infection model incorporating protection from infection for both pneumonia infection and HIV/AIDS is considered. The model is shown to be positively invariant as well as bounded. Specifically ... -
MATHEMATICAL INVESTIGATION ON THE EFFECT OF NUMBER OF BRANCHES ON WATER HAMMER
(Pushpa Publishing House, 2013-10-01)This paper looks at water hammer with an emphasis on the number of branches. The mathematics of water hammer are described in a transient condition. This includes the momentum and continuity equations for conduits. A ... -
Effects of Conduction and Variable Properties On a Two Dimensional Conjugate Heat Transfer of a Nanofluid in a Microchannel
(International Scientific Press, 2013-10-01)In this paper we analyze the effects of conduction and variable properties on a two dimensional conjugate heat transfer of a nanofluid containing a mixture of two fluids namely, Aluminium oxide (Al2O3) and water. Nanoparticles ... -
Mathematical analysis of tip speed ratio of a wind turbine and its effects on power coefficient
(2014)In this paper we estimate the value of tip speed ratio of a wind turbine and evaluate its effects on power coefficient. The power coefficient, Cp, is achieved at a particular tip speed ratio, β, which is specific to the ... -
Mathematical model of variable speed pitch regulated turbine in a wind energy conversion system
(2014)Pitch control of wind turbine in a wind energy conversion system involves the change of the rotor blade pitch angle along the rotor axis. Most compa-nies are faced with the challenge of maintaining a steady and optimal ... -
Finite Difference Analysis of 2-Dimensional Acoustic Wave with a Signal Function
(2015-12-09)This paper describes progress on a two dimensional numerical simulation of acoustic wave propagation that has been developed to visualize the propagation of acoustic wave fronts and to provide time-domain signal. In this ... -
On the steady MHD couette flow between two infinite parallel plates in an uniform transverse magnetic field
(2015)In this paper we consider laminar viscous incompressible fluid between two infinite parallel plates when the upper plate is moving with constant velocity Uo and the lower plate is held stationary under the influence of ... -
Numerical solutions of the Burgers’ system in two dimensions under varied initial and boundary conditions
(2012)In this paper, we generate varied sets of exact initial and Dirichlet boundary conditions for the 2-D Burgers’ equations from general analytical solutions via Hopf-Cole transformation and separation of variables. These ... -
Steady MHD poiseuille flow between two infinite parallel porous plates in an inclined magnetic field
(2012)In this paper, we examine the motion of a two dimensional steady flow of a viscous, electrically conducting, incompressible fluid flowing between two infinite parallel porous plates under the influence of transverse magnetic ... -
Mathematical modelling of wind turbine in a wind energy conversion system: Power coefficient analysis
(2012-01)The world is increasingly going green in its energy use. Wind power is a green renewable source of energy that can compete effectively with fossil fuel as a generator of power in the electricity market. For this effective ... -
Ab initio study of the structural, vibrational and thermal properties of Ge2Sb2Te5
(International Journal of Computational Materials Science, 2015-05-12)The structural, vibrational and thermal properties of hexagonal as well as cubic Ge2Sb2Te5 (GST) have been calculated from first principles. The relative stability of the possible stacking sequences of hexagonal GST has ... -
A numerical thermal growth model for prediction of microalgae production in photobioreactors
(AIP Publishing, 2016-03)A thermal growth model for microalgae that are not heavier than water with the consideration of heat transfer and growth-temperature dependence in photobioreactor (PBR) is developed. The microalgae growth performance is ... -
HYDRODYNAMIC ANALYSIS OF A FIXED INCLINE SLIDER BEARING
(2016-05-23)In the present day technological scenario, machines rotating at high speeds and carrying heavy rotor loads are used. As a result, fixed incline slider bearings are used. They are designed for high axial loads. When a bearing ... -
On the Solution of n-Dimensional Regular Cauchy Problem of Euler-Poisson-Darboux Equation (EPD)
(2017)A general exact solution to the n-dimensional regular Cauchy prob- lem of Euler-Poisson-Darboux (EPD) equation has been studied. Firstly, the general exact solution for the one dimensional regular Cauchy prob- lem of ... -
An investigation of MHD Flows of Nanofluid over an oscillating surface with Joule Heating
(International Scientific Press, 2017)The present study aims at investigating unsteady hydromagnetic flow of viscous incompressible, conducting nanofluid over an infinite oscillating surface with Joule heating. The governing equations involved are transformed ...
