Browsing by Author "Awuor, Kennedy"

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    Mathematical Modelling Of The Impact Of Misinformation On TheSpread Of Covid-19
    (IOSR-JM, 2024-05) Thiong’o, John; Awuor, Kennedy
    In order to understand how misinformation affects the spread of COVID-19, this research project is developing a mathematical model. Every continent has been affected by the respiratory disease COVID-19, which is brought on by the SARS-CoV-2 virus. The virus swiftly spread because of the unprecedented speed at which information, particularly false information, has spread in this century. A mathematical model will be put forth in this study to examine the effect of incorrect information on COVID-19 dissemination. The reproduction (RO) which is the average number of new infections caused by infected person, will be obtained inorder to assess the illiness’s contagiousness. In addition, the model’s equilibrium point stability conditions will be established, giving new information about how the disease will behave over the long term. In order to solve the model, the Runge-Kutta method will be used. This will enable the investigation of the effects of changing parameters as well as the simulation of various scenarios. Understanding how misinformation affects the spread of COVID-19 will help researchers develop strategies that will effectively combat misinformation and limit the disease’s spread, thereby reducing the overall impact of the disease.
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    Mathematical Modelling Of The Impact Of Misinformation On TheSpread Of Covid-19
    (IOSR, 2024-05-05) Thiong’o, John; Awuor, Kennedy
    In order to understand how misinformation affects the spread of COVID-19, this research project is developing a mathematical model. Every continent has been affected by the respiratory disease COVID-19, which is brought on by the SARS-CoV-2 virus. The virus swiftly spread because of the unprecedented speed at which information, particularly false information, has spread in this century. A mathematical model will be put forth in this study to examine the effect of incorrect information on COVID-19 dissemination. The reproduction (RO) which is the average number of new infections caused by infected person, will be obtained inorder to assess the illiness’s contagiousness. In addition, the model’s equilibrium point stability conditions will be established, giving new information about how the disease will behave over the long term. In order to solve the model, the Runge-Kutta method will be used. This will enable the investigation of the effects of changing parameters as well as the simulation of various scenarios. Understanding how misinformation affects the spread of COVID-19 will help researchers develop strategies that will effectively combat misinformation and limit the disease’s spread, thereby reducing the overall impact of the disease.
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    Numerical Investigation of Turbulent Convection Flow in a Rectangular Closed Cavity
    (JMAM, 2024-11) Manoti, Geofrey Moturi; Awuor, Kennedy
    Natural turbulent convection in closed cavities has many practical applications in the field of engineering such as the design of electronic computer chips, atomic installation and industrial cooling among others. In particular, it enables in achieving a desired micro-climate and efficient ventilation in a building. Recent studies show that turbulent flow is affected by variations in Rayleigh numbers, aspect ratio, and heater position among others. Temperature is kept constant in all these studies hence inadequate literature on the effects of temperature on a turbulent flow. In this study, aspect ratio and Rayleigh numbers are kept constant at 2 and 1012 respectively and natural turbulent convection flow in a closed rectangular cavity is investigated numerically as the operating temperature is varied from 285.5K to 293K. The rectangular cavity’s lower wall was heated and cooling done at the top face wall while the rest of the vertical walls were kept in adiabatic condition. Material properties such as density of the fluid kept on changing at any given temperature. The thermal profile data generated influenced the nature of the turbulent flow. The non-linear averaged continuity, momentum, and energy equation terms were modeled by the SST k − ω model to generate streamlines, isotherms, and velocity magnitude for a different operating temperature and presented graphically. The finite difference method and FLUENT were used to solve two SST k − ω model equations, vortices, and energy with boundary conditions. It was discovered that, as the operating temperature increased turbulence decreased due to a decrease in the velocity of the elements and vortices became more parallel and smaller.