MSTDepartment of Mathematics
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Analysis of Magnetohydrodynamic Heat and Mass Transfer with Carbon NanotubesGraphene Casson Hybrid Nanofluid
(Kenyatta University, 2022)Fluids such as liquids and gases are amassed into either Newtonian or nonNewtonian groups. Most fluids fall under the nonNewtonian category and, as a result, various models like Casson fluid and Williamson fluid model ... 
Analysis of Vertical Transmission Dynamics of Infectious Hepatitis B Virus: Mathematical Model Involving Vaccination And Treatment in Turkana County, Kenya
(Kenyatta University, 2022)Hepatitis B has been a major global health menace for it is a potentially lifethreatening liver disease. Close to 0.25 billion persons are living with this infectious disease across the world. It’s transmitted by infected ... 
Effects of Variable Pressure Gradient on Magnetohydrodynamic flow Between Parallel Plates Considering Variable Transverse Magnetic Fields
(Kenyatta University, 2022)Analysis of the effects of applying a variable pressure gradient to a magnetohydrodynamic fluid flowing between two parallel plates under the influence of variable transverse magnetic fields was investigated. The study ... 
Cycle Indices of Cyclic and Dihedral Groups Acting on Diagonals of a Regular NGon and RElement Subsets of the Set X = * +.
(Kenyatta University, 2022)Polya (1937) used the cycle index in counting configurations. Several authors have computed cycle index formula of several group actions which have been used globally in chemistry and mathematics, in counting of chemical ... 
Coriolis Effects on Air, Nanofluid and Casson Fluid Flow Over a Surface with Nonuniform Thickness
(Kenyatta University, 2022)The trajectories of moving objects in a rotating frame is usually deflected by Coriolis force and this leads to many of the natural phenomena on Earth. Some of the natural outcomes of Coriolis effect include the tropical ... 
Numerical Investigation of Natural Turbulence Convection in a Three Dimensional Enclosed Chamber by Use of K Ω Model and the Simplec Method
(Kenyatta University, 2022)Turbulent flows are highly unsteady (random), chaotic and three dimensional in motion. Turbulent flows have high Reynolds number, nonzero vorticity. Turbulent flows are diffusive and dissipate energy naturally. The aim ... 
Investigating Hydromagnetic Casson Fluid Flow over a Shrinking Sheet
(Kenyatta University, 2022)Casson fluid has vast applications in numerous fields such as in processing of foods, drilling operations, the field of metallurgy and many more. This study investigates the flow of Casson fluid over a shrinking surface ... 
Analysis of Magnetohydrodynamic Convective Heat Transfer of Casson Nanofluid Flow Over a Heated Stretching Vertical Plate
(Kenyatta University, 2022)Casson fluid has many industrial and engineering applications. However, Casson nanofluid possesses superior electrical and thermal conductivities compared with the original Casson fluid. Hence, the Casson nanofluid is ... 
Modeling Natural Convection in a Rectangular Enclosure with Heating and Cooling
(Kenyatta University, 2021)Mostflows encountered in day to day life, in engineering practice and in nature are turbulent. One of the major modes of fluid flow in an enclosure is natural convection which is also the main mode of heat transfer. This ... 
Ranks, Subdegrees, Suborbital Graphs and Cycle Indices Associated with the Product Action of Affine Groups
(Kenyatta University, 2021)Many scholars have studied the ranks, subdegrees, cycle index and graphs of the action of the groups Cn,Dn and Aff(q) on a set X, where X = {1, 2, . . . , n} leaving out product actions. Recently, Kangogo (2015) studied ... 
Turbulent Natural Convection in an Enclosure Using Two Equation kω Turbulence Model and Piso Method
(Kenyatta University, 2021)The natural convection on a surface depends on the geometry as well as its orientation. In natural convection, the motion of the fluid takes place by natural means such as gravitational force and buoyancy. Turbulent natural ... 
Numerical Simulation of Turbulent Natural Convection in a Rectangular Enclosure with Localised Heating and Cooling
(Kenyatta University, 2021)This study involves simulation of turbulent natural convection in a rectangular enclosure with localised heating and cooling. Numerical simulation of turbulent natural convection has been studied in the past using the ... 
Subdegrees and Suborbital Graphs of Symmetry Groups of Platonic Solids Acting on the Edges of the Respective Solids
(Kenyatta University, 2021)The action of the symmetry groups of platonic solids on the edges of the respective solids is studied. The symmetry groups of platonic solids have previously been studied by Benson and Grove (1971) and Mokami (2011). In ... 
Walsh Functions Obtained from the Frame Multiplication of the SplitExtension of Hypercomplex Numbers
(Kenyatta University, 2021)Communication theory was founded on the system of sinecosine functions in 1927. However, the theory of Walsh functions is slowly replacing the theory of sinecosine functions. Walsh functions use sequency while sinecosine ... 
Modeling the Effect of Inpatient Rehabilitation of Tobacco Smokers on Smoking Dynamics
(Kenyatta University, 2020)Tobacco smoking is a serious burden in Kenya and the world at large. Smoking harms nearly every organ of the body and affects the overall health of a person. Despite the overwhelming facts about the consequences of tobacco ...

Analysis of Magnetohydrodynamic Heat and Mass Transfer with Carbon NanotubesGraphene Casson Hybrid Nanofluid
(Kenyatta University, 2022)Fluids such as liquids and gases are amassed into either Newtonian or nonNewtonian groups. Most fluids fall under the nonNewtonian category and, as a result, various models like Casson fluid and Williamson fluid model ... 
Analysis of Vertical Transmission Dynamics of Infectious Hepatitis B Virus: Mathematical Model Involving Vaccination And Treatment in Turkana County, Kenya
(Kenyatta University, 2022)Hepatitis B has been a major global health menace for it is a potentially lifethreatening liver disease. Close to 0.25 billion persons are living with this infectious disease across the world. It’s transmitted by infected ... 
Effects of Variable Pressure Gradient on Magnetohydrodynamic flow Between Parallel Plates Considering Variable Transverse Magnetic Fields
(Kenyatta University, 2022)Analysis of the effects of applying a variable pressure gradient to a magnetohydrodynamic fluid flowing between two parallel plates under the influence of variable transverse magnetic fields was investigated. The study ... 
Cycle Indices of Cyclic and Dihedral Groups Acting on Diagonals of a Regular NGon and RElement Subsets of the Set X = * +.
(Kenyatta University, 2022)Polya (1937) used the cycle index in counting configurations. Several authors have computed cycle index formula of several group actions which have been used globally in chemistry and mathematics, in counting of chemical ... 
Coriolis Effects on Air, Nanofluid and Casson Fluid Flow Over a Surface with Nonuniform Thickness
(Kenyatta University, 2022)The trajectories of moving objects in a rotating frame is usually deflected by Coriolis force and this leads to many of the natural phenomena on Earth. Some of the natural outcomes of Coriolis effect include the tropical ... 
Numerical Investigation of Natural Turbulence Convection in a Three Dimensional Enclosed Chamber by Use of K Ω Model and the Simplec Method
(Kenyatta University, 2022)Turbulent flows are highly unsteady (random), chaotic and three dimensional in motion. Turbulent flows have high Reynolds number, nonzero vorticity. Turbulent flows are diffusive and dissipate energy naturally. The aim ... 
Investigating Hydromagnetic Casson Fluid Flow over a Shrinking Sheet
(Kenyatta University, 2022)Casson fluid has vast applications in numerous fields such as in processing of foods, drilling operations, the field of metallurgy and many more. This study investigates the flow of Casson fluid over a shrinking surface ... 
Analysis of Magnetohydrodynamic Convective Heat Transfer of Casson Nanofluid Flow Over a Heated Stretching Vertical Plate
(Kenyatta University, 2022)Casson fluid has many industrial and engineering applications. However, Casson nanofluid possesses superior electrical and thermal conductivities compared with the original Casson fluid. Hence, the Casson nanofluid is ... 
Modeling Natural Convection in a Rectangular Enclosure with Heating and Cooling
(Kenyatta University, 2021)Mostflows encountered in day to day life, in engineering practice and in nature are turbulent. One of the major modes of fluid flow in an enclosure is natural convection which is also the main mode of heat transfer. This ... 
Ranks, Subdegrees, Suborbital Graphs and Cycle Indices Associated with the Product Action of Affine Groups
(Kenyatta University, 2021)Many scholars have studied the ranks, subdegrees, cycle index and graphs of the action of the groups Cn,Dn and Aff(q) on a set X, where X = {1, 2, . . . , n} leaving out product actions. Recently, Kangogo (2015) studied ... 
Turbulent Natural Convection in an Enclosure Using Two Equation kω Turbulence Model and Piso Method
(Kenyatta University, 2021)The natural convection on a surface depends on the geometry as well as its orientation. In natural convection, the motion of the fluid takes place by natural means such as gravitational force and buoyancy. Turbulent natural ... 
Subdegrees and Suborbital Graphs of Symmetry Groups of Platonic Solids Acting on the Edges of the Respective Solids
(Kenyatta University, 2021)The action of the symmetry groups of platonic solids on the edges of the respective solids is studied. The symmetry groups of platonic solids have previously been studied by Benson and Grove (1971) and Mokami (2011). In ... 
Numerical Simulation of Turbulent Natural Convection in a Rectangular Enclosure with Localised Heating and Cooling
(Kenyatta University, 2021)This study involves simulation of turbulent natural convection in a rectangular enclosure with localised heating and cooling. Numerical simulation of turbulent natural convection has been studied in the past using the ... 
Walsh Functions Obtained from the Frame Multiplication of the SplitExtension of Hypercomplex Numbers
(Kenyatta University, 2021)Communication theory was founded on the system of sinecosine functions in 1927. However, the theory of Walsh functions is slowly replacing the theory of sinecosine functions. Walsh functions use sequency while sinecosine ... 
Modeling the Effect of Inpatient Rehabilitation of Tobacco Smokers on Smoking Dynamics
(Kenyatta University, 2020)Tobacco smoking is a serious burden in Kenya and the world at large. Smoking harms nearly every organ of the body and affects the overall health of a person. Despite the overwhelming facts about the consequences of tobacco ... 
Dissipative Heat Transfer on Hydromagnetic Flow of Copper and Alumina EthyleneGlycol Based Nanofluid over a Heated Vertical Plate
(Kenyatta University, 2021)In this study, the dissipative heat transfer of magnetohydrodynamic nanofluid with EthyleneGlycol as the base fluid containing copper and Alumina as the nanoparticles is considered. The steady viscous flow of the electrically ... 
BuoyancyInduced Mhd Stagnation Point Flow of Williamson Fluid with Thermal Radiation Over a Stretching Surface
(Kenyatta University, 2020)The current study investigates the buoyancyinduced MHD stagnation point flow of Williamson fluid with thermal radiation over a stretching sheet. A system of nonlinear partial differential together with the boundary ... 
Properties and Characterizations of Normaloid, Convexoid, Transloid and Spectraloid Operators in Hilbert Spaces
(Kenyatta University, 2021)There are several welldeveloped theorems, lemmas and propositions relating to normaloid, convexoid, spectraloid and transloid operators. It has been demonstrated that every nor maloid operator is spectraloid and that ... 
Graphs Whose Automorphism Groups Contain or Represent the Alternating Groups, An and Symmetric Groups, Sn
(Kenyatta University, 202011)There have been many investigations on the combinatorial structures and invariants over the group actions on the subsets of its elements. Studies on Group Theory have yielded varied and important results in the advancement ... 
Flow of Contaminants in Urban Ground Water
(Kenyatta University, 202007)Groundwater contamination occurs when manmade products such as gasoline, oil, road salts and chemicals get into the groundwater and cause it to become unsafe and unfit for human use. Drinking contaminated groundwater can ...