Browsing by Author "Virginia Mwelu Kitetu"

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    Control Volume Approach for Determining Effect of Hartman Number, Nanoparticle Volume Fraction and Suction Parameter on MHD Nanofluid Flow over Stretched Surface
    (International Journal of Research and Innovation in Applied Science (IJRIAS), 2019-07) Virginia Mwelu Kitetu; Thomas Tony Mboya Onyango; Jackson Kioko Kwanza
    Currently, numerous studies are being conducted on nanofluids for the benefits associated with low energy costs and less negative environmental impact in industry and society. In the studies, water is commonly used as base for nanofluids in heat transfer applications due to its ability and availability for heat transport. In most of these investigations influence of nanoparticles has been analyzed to determine enhancement of energy transfer on stretched sheets. In this research, magneto hydrodynamic (MHD) flow of a nanofluid over a porous straight stretching sheet with water equally as the base fluid and either copper or silver as nanoparticles is examined and discussed. The physical problem is modeled using systems of unsteady nonlinear differential equations (DEs) subject to prescribed boundary and initial conditions, which are then studied using finite volume approach. The effect of nanoparticle volume fraction values, Hartmann number and suction parameter on velocity, temperature and concentration profiles is discussed. Results show that suction enhances velocity and increase in values of nanoparticle volume fractions decrease velocity of nanofluid.
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    Determination of one dimensional temperature distribution in metallic bar using green’s function method
    (ResearchGate, 2020-05-18) Virginia Mwelu Kitetu; Thomas Onyango; Jackson Kioko Kwanza; Nicholas Muthama Mutua
    The present study focuses on determination of temperature distribution in one dimensional bar using Green’s function method. The Green’s Function is obtained using separation of variables, variation formulation principles and Heaviside functions. The Boundary Integral Equation is obtained using the fundamental solution, Divergence theorem, Green Identities, Dirac delta properties and integration by parts. The solution of heat equation given by the Green’s Function and the boundary integral equation has satisfied the uniqueness, regularity and stability of heat equation. The uniqueness, regularity and stability have been proved using smooth properties of class k function, Lyapunov function and 2 L Norm. The BEM implementation is performed using FORTRAN 95 software. Solutions to the test problems are presented and time dependence results are in agreement with computed analytical solutions