Research Papers/Topics in Applied Mathematics

Implementation Of A Modified Procesi Algorithm To Compute Covariants Of Binary Forms Of Up To Degree Five And Their Relations

ABSTRACTIn his book (Procesi,C., 2007), Claudio Procesi suggested anew algorithm for computing covariants of binary forms underthe action of SL(2;C), based on an iterative computationsof covariants of the simpler group U+. In Procesi book thecomputation was carried out only for binary forms of degree3 and 4, but the _rst signi_cant test for the algorithm wouldbe the computation for degree 5. In 2010 summer school inAlgebra organized by ICTP in Kenya, Procesi suggested theimplementation ...

Investigating Turbulent Convection In A Rectangular Enclosure Using Shear Stress Transport K-ω Model

Studies have been done on the aspect ratio effect on natural convection turbulence using standard k-ε model but further studies showed that k-ω SST model performed better than both k-ε and k-ω model in the whole enclosure. Thus, there was need to do a numerical study on the natural convection fluid flow in a rectangular enclosure full of air using SST k-ω model. The left vertical wall of the enclosure was maintained at a steady high temperature Th of 323K while the ri...

Heat And Mass Transfer In Magnetohydrodynamics Flow About A Horizontal Plate Past, A Finite Porous Plate

AbstractAn investigation of heat and mass transfer in MHD  ow about a horizontal plate past nite plate, in a porous medium was carried out. The e ect of magnetic eld on mass and heat transfer was investigated. The study was governed by Navier- stokes equations, energy equation, Ohm's law and concentration equation. These equations were formulated inform of partial di erential equations to represent the general phenomena of mass and heat. Then, the general ...

The Impact Of A Transverse Magnetic Field On Blood Flowing Through An Axi-Symmetric Curved Shaped Stenotic Artery

ABSTRACT In this study, the impact of a transverse magnetic field on blood flowing through an axisymmetric curved shaped stenotic artery has been investigated. This research is of importance in the field of medicine. There is an application in magnetic hyperthermia which is used to shrink tumors in the treatment of cancer. In addition to this, the externally applied magnetic field is also used to reduce/diminish blood flow in the region of stenosis and hence it is used in the treatment o...

Hall Effect On A Steady Magneto-Convection And Radiative Heat Transfer Past A Porous Plate

ABSTRACT Heat transfer plays a great role in engineering processes, blowing of fluids is used in designing thrusters and prevention of corrosion. Suction is used in film cooling and coating of wires in chemical engineering. A lot of research has based on thermal reduction in processing streams and forgetting the machine efficiency. The study theoretically investigates the effect of hall current on a steady magneto convection and radiative heat transfer over a porous plate. This work is ...

Investigating Numerically The Effect Of Mass And Heat Transfer Of A Nanofluid That Is Micropolar, Passed Though A Porous Medium And Over A Stretching Sheet

ABSTRACT The boundary layer flow, heat and mass transfer in a quiescent nanofluid driven by a continuous stretching sheet is significant in numerous engineering and industrial processes. Nanofluids posses enhanced thermo physical properties which make them more superior than convectional fluids. This study investigates numerically heat and mass transfer of asteady laminar,viscous incompressible electrically conducting micro polar nanofluid past a porous medium and over a sheet that is s...

Stresses Resulting From Fluid Flow In Pipes

ABSTRACT The determination of the components of stress on a pipe made of either linearly elastic or non-linearly elastic material and subjected to internal fluid pressure is of immense benefit to engineers. Chung et al [2] worked on a class of non-linearly elastic type with some degree of success. This work seeks an improvement on [2]. It will do this by obtaining such components of stress in a form that engineers will find easy to use. Towards obtaining the required components, the ra...

A Numerical Investigation Of Turbulent Natural Convection In A 3-D Enclosure Using K- Sst Model And Piso Method

ABSTRACTIn turbulent natural convection transport mechanism, fluid motion is generated by buoyancy-induced density gradients resulting from internal body forces due to heating. The objective of this study was to conduct a numerical investigation of turbulent natural convection in a 3-D cavity using the k- SST model and the PISO method. The problem being investigated was computational study of turbulent natural convective flow using a primitive variable to solve time averaged momentum equation...

Influence Of Inclined Magnetic Field And Thermophoresis On Heat And Mass Transfer Wedge Flow With Variable Thermal Conductivity

ABSTRACTIn my study, I investigate the influence of thermophoresis and a constant inclined magnetic field on a fluid flowing over a porous wedge. The inclination is an acute angle to the horizontal axis. The effects of variable prandtl and thermal conductivity, Hartman number, wedge angle parameter, Schmidt’s number, thermophoretic concentration and a constant suction or injection on the fluid flow parameters are studied numerically by the collocation method since the Prandtl number is a fu...

Effect Of Variable Fluid Properties And Thermophoresis On Unsteady Forced Convective Magnetohydrodynamics Boundary Layer Flow Along A Permeable Stretching/Shrinking Wedge

AbstractThe study takes into account temperature dependent viscosity and thermal conductivity as well as induced magnetic field in describing the fluid flow .The partial differential equations governing the unsteady flow are transformed to a system of non-linear ordinary differential equations by similarity transformation. The transformed differential equations are solved by collocation method. The numerical results for the flow variables: velocity, temperature and concentration profiles are ...

Deterministic And Stochastic Model Of Dynamics Of Ebola Virus

ABSTRACT In this work a deterministic and stochastic model is developed to investigate the deterministic and stochastic model of dynamics of Ebola virus. The model includes susceptible, exposed, infected, quarantined and removed or recovered individuals. The model used in this work is based on a deterministic model. The Chowell (2015) work on early detection of Ebola is modified by introducing an assumption that the quarantined class is totally successful and cannot infect the suscepti...

Constrained Controllability Of Linear And Semilinear Systems With Delay In State And Control

ABSTRACTIn this work, sufficient conditions for the constrained controllability of linear and semi linear systems with delay in state and control are formulated and proved. For the linear delay system, necessary and sufficient conditions are developed by establishing the equivalence of a delay system without delay to show local relative controllability. For the semi linear delay system, sufficient conditions are also developed by using the associate linear dynami...

Analysis Of Magnetohydrodynamic Stagnation Point Flow Due To A Fluid Towards A Convectively Heated Permeable Stretching Sheet

ABSTRACTStagnation-point flow of an electrically conducting fluid over a continuously stretching surface in presence of magnetic fields is significant in many industrial processes such as the metallurgy, polymer processing, glass blowing, filaments drawn through quiescent electrically conducting fluid subject to magnetic fields, cooling of metallic plate, hot rolling, wire drawing, aerodynamic extrusion of plastic sheets, crystal growing. In these applications of stagnation point flow, the de...

A Two-Small-Parameter Dynamic Buckling Analysis Of A Damped Quadratic-Cubic Nonlinear Structure

ABSTRACT The major goal of this research work is to determine the dynamic buckling load of a viscously damped imperfect quadratic-cubic elastic model structure, which is modeled by a nonlinear differential equation containing a load parameter. For a structure with small imperfections and subjected to step loading , the equation contains two small independent parameters, upon which asymptotic expansions are initiated. The nonlinearity is quadratic-cubic in nature and multiple-scaling t...

A Comparative Study Of Interior Point, Simplex And Active Set Methods For The Solution Of Linear Programming Problems.

Linear Programming is a subset of Mathematical Programming that is concerned with efficient allocation of limited resources to known activities with the objective of meeting a desired goal of maximization or minimization of a function. Linear Programming determines the way to achieve the best outcome (such as maximum profit or lowest cost) in a given mathematical model, given some list of requirements as linear equations. Linear Programming can be applied to various fields of study - bus...


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