Kifilideen trinomial theorem of negative power of – n is theorem which is used to generate the series and terms of a trinomial expression of negative power of – n in an orderly and periodicity manner that is based on standardized and matrix methods. Negative power of Newton binomial theorem had been used to produce series of partial fractions of a compound fraction. The establishment of the negative power of - n of trinomial theorem would extend the number of compound fraction in whic...
Overtime the arrangement of the terms of the trinomial expansion of power of n has been an issue in the area of orderliness and periodicity which as make it difficult to assign each element of the expansion in a standardize term. The study developed Kifilideen trinomial theorem using matrix approach. The Kifilideen equations to determine the power combination of any term of kif trinomial expansion and position of any term in the series of the expansion in a group or column of a kif matrix...
The different methods used in the multiplication of numbers are long method (column method) of multiplication, grid methods and addition methods of multiplication. The utilization of the methods mentioned to solve power (index) of base number (number that multiply itself in a number of times) are horrendous, outrageous, tedious, time consuming and too long to be carried out. This study develops computation of the power of base of number using Kifilideen (matrix, combination and distributi...
Mathematics should be dynamic not static. The use of logarithm table which is based on power of base ten to solve mathematical problem has been in existence for nearly 400 years ago without any alternative which makes mathematics look static, austere and monotonous. Some real life mathematical problem encounter on daily basis in field of Engineering, Physics, Mathematics, Finance, Cosmology, Accounting, Carpentering and Medicine involve problem on other base power of number and in addition ...
TABLE OF CONTENT COVER PAGE APPROVAL PAGE DEDICATION ACKNOWLEDGEMENT TABLE OF CONTENT 1.1 INTRODUCTION 1.2 BACKGROUND AND ITS OPERATION 1.3 SIGNIFICANCE 1.4 SCOPE OF STUDY 1.5 AIMS AND OBJECTIVE 1.6 PROBLEMS AND LIMITATION OF STUDY 1.7 DEFINITION OF TERMS 1.8 ABBREVIATION USED CHAPTER TWO 2.0 LITERATURE REVIEW 2.1...
In this work a deterministic and stochastic model is developed to investigate the dynamics of Ebola epidemic. 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 Chowel et. al (2015) work on early detection of Ebola is modified by introducing an assumption that the quarantined class is totally successful and cannot infect the susceptible class. The resulting model is transformed...
This work investigated the dynamics of coronavirus amongst the susceptible individuals. It is established herein, with a proposition that there exists a control strategy that is bounded above by 0.01 for the contact rate of susceptible individuals. It is observed that at a=d=1.5, the virus population and the human population coincides, however, at c=b=0.1, almost all the human population is infected by the virus. It is also observed that at endemic state, the corona virus population experienc...
ABSTRACT In his book (Procesi,C., 2007), Claudio Procesi suggested a new algorithm for computing covariants of binary forms under the action of SL(2;C), based on an iterative computations of covariants of the simpler group U+. In Procesi book the computation was carried out only for binary forms of degree 3 and 4, but the _rst signi_cant test for the algorithm would be the computation for degree 5. In 2010 summer school in Algebra organized by ICTP in Kenya, Procesi suggested the implementati...
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 right wall at a s...
Abstract An investigation of heat and mass transfer in MHD ow about a horizontal plate past nite plate, in a porous medium was carried out. The eect 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 dierential equations to represent the general phenomena of mass and heat. Then, the general equations were modied into spe...
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 of hy...
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 motiv...
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 stretc...
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 radial d...
ABSTRACT In 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 equatio...