Department of Mathematical Sciences

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https://repository.run.edu.ng/handle/123456789/73

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    Thermal Stability and Entropy Generation Analysis for Combustible Third-Grade Fluid Flow Through a Slant Channel: A Spectral Study
    (Applied Sciences, MDPI, Basel, Switzerland, 2024-12-10) Peace Oluwalonimi Banjo
    This paper addresses the mixed convective flow and heat transfer in combustible thirdgrade fluids through a slant porous channel filled with permeable materials. The fluid layer in contact with the channel wall is exposed to asymmetrical slippage and isothermal conditions. We employ the spectral Chebyshev collocation method (SCCM) to the coupled nonlinear flow governing equations and validate using the Shooting–Runge–Kutta method (RK4). Fluid velocity and temperature profiles, local entropy generation, and irreversibility ratio are computed and analyzed quantitatively and qualitatively. The convergence of the numerical method was demonstrated. The flow and thermal effects results, entropy generation rate, and Bejan number revealed fascinating manifestations that have profound implications in the design of thermo-mechanical systems. In particular, the thermal analysis results are pertinent to optimal system designs that achieve efficient energy utilization.
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    Exergy Analysis for Combustible Third-Grade Fluid Flow through a Medium with Variable Electrical Conductivity and Porous Permeability
    (Mathematics, MDPI, Basel, Switzerland., 2023-04-15) Peace Oluwalonimi Banjo
    A mathematical investigation of a thermodynamical system linked with energy management and its impact on the environment, especially climate change, is presented in this study. In this regard, a numerical investigation of the flow and heat transfer of hydromagnetic third-grade liquid through a porous medium. The permeability of the medium and electrical conductivity of the fluid are assumed to be temperature functions. The appropriate mathematical formulations for momentum, energy, and entropy equations are presented in both dimensional and dimensionless forms. We obtained the numerical solutions using the spectral version of the Chebyshev collocation method and compared the result with the shooting Runge–Kutta method. Numerical results for velocity, temperature, entropy, and Bejan profiles are communicated through tables and graphs with adequate physical interpretation. The thermal stability of the thermo-fluid system that guarantees the prevention of spontaneous fluid heating that fuels climate change is also included in the analysis.
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    Energy Efficacy Enhancement in a Reactive Couple-Stress Fluid Induced by Electrokinetics and Pressure Gradient with Variable Fluid Properties
    (Mathematics, MDPI, Basel, Switzerland, 2025-02-13) Peace Oluwalonimi Banjo
    This study presents a mathematical analysis of the collective effect of chemical reactions, variable fluid properties, and thermal stability of a hydromagnetic couple-stress fluid flowing through a microchannel driven by electro-osmosis and a pressure gradient. The viscosity of the biofluid is assumed to depend on the temperature, while the electrical conductivity is assumed to be a linear function of the drift velocity. The governing equations are derived non-dimensionalized, and numerical solutions are obtained using the spectral Chebyshev collocation method. The numerical solution is validated using the shooting Runge–Kutta method. The effects of varying the parameters on the thermal stability, temperature, velocity, and entropy profiles are discussed with adequate interpretations using tables and graphs. The results reveal that the chemical reactions and viscosity parameter increase the fluid temperature, while the Hartmann number decreases the temperature and increases the flow velocity and entropy generation. It was also observed that the chemical reactions and viscosity parameter increased the entropy at the channel walls, while the Hartmann number decreased the entropy at the core center of the channel. This study has tremendous empirical significance, including but not limited to biophysical applications of devices, engineering applications such as control systems, and thermofluidic transport.
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    Third Hankel determinant and Zalcman functional for a class of starlike functions with respect to symmetric points related with sine function
    (Journal of Mathematics and Computer Sciences, 2021) Timilehin Gideon Shaba
    In this article we define a class of starlike functions with respect to symmetric points in the domain of sine function. Also, we investigate coefficients bounds and upper bounds for the third order Hankel determinant for this defined class. We also evaluate the Zalcman functional |a23 − a5|. Specializing the parameters, we improve Zalcman functional for the class of starlike functions.
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    Exploring the Factors and Effects of Students’ Loyalty to Mobile Network Providers in Lagos, Nigeria: An Investigative Study
    (Asian Journal of Probability and Statistics, 2025-04-14) Oladipupo Olayinka Olusegun
    This study explores the relationship between students' mobile network usage for academic purposes and their loyalty to mobile network providers in tertiary institutions in Lagos. Findings reveal that the majority of respondents (62%) are female, aged between 17–22, and actively engage with mobile internet for academic activities. The study highlights students' academic performance correlates with mobile internet access, with 51.4% achieving a Second – Class Upper grade and 15.1% attaining First Class. Parental education plays a crucial role in students' choice of mobile network providers, with higher-educated parents guiding their children's decisions more effectively. The analysis of mobile internet usage shows that 30.2% of students reported high usage for academic purposes, with 23.5% indicating very high usage. Key activities include online lectures (38.4%) and research, emphasizing mobile internet’s role in academic engagement. Regarding loyalty, 42.6% of students’ associate loyalty with retention, while 23.8% believe recommendation plays a role. MTN emerges as the preferred provider (35.1%), while GLO (16.8%) and IpNX Nigeria (2.2%) have lower preference rates, highlighting network coverage and service quality as critical factors. Psychological and environmental variables influence students’ loyalty to mobile networks, with 68% satisfied with network coverage and 65% valuing customer support. Ordinal regression analysis indicates that age, gender, marital status, and mobile network provider impact academic performance and loyalty. These findings underscore the importance of expanding network coverage, improving efficiency, and enhancing customer service to support students' academic success and foster long – term loyalty to mobile network providers in Lagos.