MSTDepartment of Mathematics
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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 ... 
Bioconvection of a Newtonian Nanofluid Over a Vertical Plate in Presence of Gyrotactic Microorganisms
(Kenyatta University, 201912)Bioconvection induced by gyrotactic microorganisms in a Newtonian nanofluid past a permeable vertical plate is studied. Addition of motile microorganisms to a suspension of nanoparticles in a basefluid enhances mass ... 
Analysis of Magnetohydrodynamic Stagnation Point Flow Due to a Fluid towards a Convectively Heated Permeable Stretching Sheet
(Kenyatta University, 202010)Stagnationpoint 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 ... 
Analysis of Heat and Mass Transfer on Magnetohydrodynamics (Mhd) Nanofluids with Thermal Radiation and Brownian Motion Over A Heated Vertical Plate
(Kenyatta University, 201904)This study investigates the effect of heat and mass transfer on Magnetohydrodynamics (MHD) nanofluid with thermal radiation and brownian motion over a heated vertical plate. The Magnetohydrodynamics (MHD) nanofluid flow ... 
Action of Symmetric Group S5 on The Cosets of Some of Its NonMaximal Subgroups
(Kenyatta University, 202007) 
Investigating Turbulent Convection in a Rectangular Enclosure Using Shear Stress Transport KΩ Model
(Kenyatta University, 2020)Studies have been done on the aspect ratio effect on natural convection turbulence using standard kε model but further studies showed that kω SST model performed better than both kε and kω model in the whole enclosure. ... 
A Numerical Study of Turbulent Natural Convection in a Rectangular Enclosure with Localised Heating and Cooling
(Kenyatta University, 201908)This study models natural turbulent convection in a rectangular enclosure with localized heating and cooling. The equations used in modeling the flow are the equation of continuity, momentum equation and the energy equation. ... 
Triple System and Fano Plane Structure in Z∗n
(Kenyatta University, 2020)A triple system is an absolutely fascinating concept in projective geometry. This project is an extension of previously done work on triple systems, specifically the triples that fit into a Fano plane and the (i, j, k) ... 
The Action of Symmetry Groups of Platonic Solids on their Respective Vertices
(Kenyatta University, 2020)Platonic solids are 3dimensional regular, convex polyhedrons. Each of the faces are equidistant and equiangular to each other in any of the solids. They derive their name from the ancient Greek philosopher, P lato who ... 
Numerical Simulation of Turbulent Natural Convection and Heat Transfer in a Rectangular Enclosure Using the 𝒌� − 𝝎� Model
(Kenyatta University, 2020)Turbulent flow is a type of fluid flow in which the fluid undergoes irregular fluctuations. The velocity of the fluid at a point is continuously undergoing changes in both magnitude and direction. Turbulent natural ... 
Mathematical Modeling of Tuberculosis Dynamics With Hygiene Consciousness as a Control Strategy
(Kenyatta University, 2020)Tuberculosis, an airborne infectious disease, remains a major threat to public health in Kenya. In this study we derived a system of nonlinear ordinary differential equations from SLICR mathematical model of TB to study ... 
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
(Kenyatta University, 2020)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 ... 
Heat and Mass Transfer in Magnetohydrodynamics Flow About a Horizontal Plate Past, a Finite Porous Plate
(Kenyatta University, 202009)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 e ect of magnetic eld on mass and heat transfer was investigated. The study was ... 
Derivation of Cycle Index Formulas of Semidirect Product Groups
(Kenyatta University, 201912)The concept of the cycle index formulas of a permutation group was discovered in the year 1937. Since then cycle index formulas of several groups have been studied by di erent scholars. For instance the cycle index of ...

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 ... 
Bioconvection of a Newtonian Nanofluid Over a Vertical Plate in Presence of Gyrotactic Microorganisms
(Kenyatta University, 201912)Bioconvection induced by gyrotactic microorganisms in a Newtonian nanofluid past a permeable vertical plate is studied. Addition of motile microorganisms to a suspension of nanoparticles in a basefluid enhances mass ... 
Analysis of Magnetohydrodynamic Stagnation Point Flow Due to a Fluid towards a Convectively Heated Permeable Stretching Sheet
(Kenyatta University, 202010)Stagnationpoint 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 ... 
Analysis of Heat and Mass Transfer on Magnetohydrodynamics (Mhd) Nanofluids with Thermal Radiation and Brownian Motion Over A Heated Vertical Plate
(Kenyatta University, 201904)This study investigates the effect of heat and mass transfer on Magnetohydrodynamics (MHD) nanofluid with thermal radiation and brownian motion over a heated vertical plate. The Magnetohydrodynamics (MHD) nanofluid flow ... 
Action of Symmetric Group S5 on The Cosets of Some of Its NonMaximal Subgroups
(Kenyatta University, 202007) 
Investigating Turbulent Convection in a Rectangular Enclosure Using Shear Stress Transport KΩ Model
(Kenyatta University, 2020)Studies have been done on the aspect ratio effect on natural convection turbulence using standard kε model but further studies showed that kω SST model performed better than both kε and kω model in the whole enclosure. ... 
A Numerical Study of Turbulent Natural Convection in a Rectangular Enclosure with Localised Heating and Cooling
(Kenyatta University, 201908)This study models natural turbulent convection in a rectangular enclosure with localized heating and cooling. The equations used in modeling the flow are the equation of continuity, momentum equation and the energy equation. ... 
Triple System and Fano Plane Structure in Z∗n
(Kenyatta University, 2020)A triple system is an absolutely fascinating concept in projective geometry. This project is an extension of previously done work on triple systems, specifically the triples that fit into a Fano plane and the (i, j, k) ... 
The Action of Symmetry Groups of Platonic Solids on their Respective Vertices
(Kenyatta University, 2020)Platonic solids are 3dimensional regular, convex polyhedrons. Each of the faces are equidistant and equiangular to each other in any of the solids. They derive their name from the ancient Greek philosopher, P lato who ... 
Numerical Simulation of Turbulent Natural Convection and Heat Transfer in a Rectangular Enclosure Using the 𝒌� − 𝝎� Model
(Kenyatta University, 2020)Turbulent flow is a type of fluid flow in which the fluid undergoes irregular fluctuations. The velocity of the fluid at a point is continuously undergoing changes in both magnitude and direction. Turbulent natural ... 
Mathematical Modeling of Tuberculosis Dynamics With Hygiene Consciousness as a Control Strategy
(Kenyatta University, 2020)Tuberculosis, an airborne infectious disease, remains a major threat to public health in Kenya. In this study we derived a system of nonlinear ordinary differential equations from SLICR mathematical model of TB to study ... 
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
(Kenyatta University, 2020)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 ... 
Heat and Mass Transfer in Magnetohydrodynamics Flow About a Horizontal Plate Past, a Finite Porous Plate
(Kenyatta University, 202009)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 e ect of magnetic eld on mass and heat transfer was investigated. The study was ... 
Derivation of Cycle Index Formulas of Semidirect Product Groups
(Kenyatta University, 201912)The concept of the cycle index formulas of a permutation group was discovered in the year 1937. Since then cycle index formulas of several groups have been studied by di erent scholars. For instance the cycle index of ... 
Effect of Inclined Magnetic Field in Mhd Flows Past aVertical Plat in Presences of Hall Current
(Kenyatta University, 201907)This study examines the effect of Hall current on steady MHD flow past a moving vertical plate whereby magnetic fields is applied at an angle α with mass diffusion. The fluid considered is viscous, electrically conducting ... 
On Cosets in Split Extensions of Hypercomplex Numbers
(Kenyatta University, 201906)This work focuses on the study of some properties of cosets in split extensions of hypercomplex numbers. It is well known that if G is a group and H its subgroup, the cosets of the subgroup H form a partition of the group ... 
Mathematical Modeling of Cholera Transmission with Education Campaign and Treatment Through Quarantine
(Kenyatta University, 201906)Cholera, a waterborne disease characterized by intense watery diarrhea, a ects people in regions with poor hygiene and untreated drinking water. This disease remains a menace to public health globally and it is capable ... 
Exact Controllability and Boundary Stabilization of A OneDimensional Vibrating String With a Point Mass in its Interior
(Kenyatta University, 201905)The dynamics of hybrid systems have attracted the attention of control theorists in the recent past, the control and stabilization of these systems is of paramount importance. The complexity of the structure has increased ... 
Mathematical Modelling of Tungiasis Disease Dynamics Incorporating Hygiene as a Control Strategy.
(Kenyatta University, 201903)Despite the intensive research that has been done on tungiasis, a lot remains to be done, especially on hygiene as a control strategy. Protection measures include, but not limited to; vaccination against tetanus in areas ...