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Now showing items 1-20 of 32

3-DIMENSIONAL MATHEMATICAL MODELLING OF TEMPERATURE DISTRIBUTION IN POROUS MEDIA

G Owuor Lawi, W Alfred Manyonge (Academic Publications, Ltd., 2011)

An alternative method of the numerical solution of the heat equation is presented. A three-dimensional modelling approach is used in this paper rather than one or two dimensional models in order to account for the lateral ...
Ab Initio study of the electronic and optical properties of hexagonal and cubic Ge2Sb2Te5

Odhiambo, Henry O (African Review of Physics, 2015-04)

The electronic and optical properties of hexagonal and cubic Ge 2 Sb 2 Te 5 have been calculated using the QUANTUM ESPRESSO and Yambo codes. The study has considered the variation of electronic band gaps with lattice ...
Ab initio study of the structural, vibrational and thermal properties of Ge2Sb2Te5

Henry Odhiambo, Herick Othieno (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 ...
The Acoustic Wave Propagation Equation: Discontinuous Galerkin Time Domain Solution Approach

PC Koech, AW Manyonge, JK Bitok (Hikari Ltd, 2019)

This paper discusses a finite element method, discontinuous Galerkin time domain approach that solves the 2-D acoustic wave equation in cylindrical coordinates. The method is based on discretization of the wave field ...
Effects of Conduction and Variable Properties On a Two Dimensional Conjugate Heat Transfer of a Nanofluid in a Microchannel

PK Saina, AW Manyonge, JK Kimaiyo, JS Maremwa, JK Kandie (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 ...
Elementary partial differential equations

Charles C Wanjala, Alfred W Manyonge, Boniface Otieno Kwach (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 ...
AN ESTIMATE OF VELOCITY PROFILE IN LAMINAR BOUNDARY LAYER

AW Manyonge, JM Shichikha, N Sang, JK Chepkwony, KENYA Maseno (Academic Publications, Ltd., 2011-09-02)

This paper examines the boundary layer thickness developed for an incompressible viscous fluid flowing over a flat plate. The solution of the Blasius problem is considered. In this paper, the authors propose a polynomial ...
Finite Difference Analysis of 2-Dimensional Acoustic Wave with a Signal Function

Opiyo Richard Otieno, Alfred Manyonge, Owino Maurice, Ochieng Daniel (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 ...
General analytical solution for the one dimensional regular Cauchy problem of Euler-Poisson-Darboux equation

David Kweyu, AW Manyonge (Hikari Ltd, 2017)

A general analytical solution to the one dimensional regular Cauchy problem of Euler-Poisson-Darboux (EPD) equation has been investigated. The one dimensional EPD which is a Partial Differential Equation (PDE) with initial ...
HYDRODYNAMIC ANALYSIS OF A FIXED INCLINE SLIDER BEARING

LIMO, JOSHUA K (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 ...
An investigation of MHD Flows of Nanofluid over an oscillating surface with Joule Heating

Manyonge, A.W; Nyamai, B.M; Bitok, J.K; Kandie, J.K (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 ...
AN INVESTIGATION OF THE EFFECTS OF BOUNDARY LAYER THICKNESS ON A THIN FILM OF LIQUID FLOW DOWN AN INCLINED PLANE

NK Sang, AW Manyonge, JM Shichikha (2012-12-30)

The motion of fluid substances may be described by the Navier-Stokes (N-S) equations. The equations arise from the application of Newton’s second Law of motion to a fluid. In this paper, N-S equations in two dimensions ...
Mathematical analysis of tip speed ratio of a wind turbine and its effects on power coefficient

PO Ochieng, AW Manyonge, AO Oduor (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 INVESTIGATION ON THE EFFECT OF NUMBER OF BRANCHES ON WATER HAMMER

Benjamin M Nyamai, Jacob K Bitok, Alfred W Manyonge, Cleophas M Kweyu (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 ...
Mathematical model of pneumonia and HIV/AIDS coinfection in the presence of protection

Joyce K Nthiiri, GO Lavi, A Manyonge (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 model of variable speed pitch regulated turbine in a wind energy conversion system

K Korkoren, AW Manyonge, J Rading (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 ...
Mathematical modelling of the Olkaria Geothermal Reservoir

Alfred W Manyonge (School of Mathematics, University of Nairobi, 1996-05)

The basic equations which govern the flow of fluids in a geothermal reservoir (often a two-phase mixture of steam. and water) are outlined. The governing nonlinear system of partial differential equations that arises is ...
Mathematical modelling of wind turbine in a wind energy conversion system: Power coefficient analysis

Alfred Wanyama Manyonge, RM Ochieng, FN Onyango, JM Shichikha (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 ...
Modelling Stratified Flow in an Inclined Flow Channel with a Bend

PK Saina, AW Manyonge, JK Kimaiyo, JS Maremwa (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 ...
Numerical Computation of Steady Buoyancy Driven MHD Heat and Mass Transfer Past An Inclined Infinite Flat Plate with Sinusoidal Surface Boundary Conditions

Manyonge, Alfred W; Otieno, Opiyo R; Bitok, Jacob K (2007)

In this paper we study the e ects of magnetohydrodynamics (MHD) uid ow on a two dimensional boundary layer ow of a steady free convection heat and mass transfer on an inclined plate in which the angle of inclination ...

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