Browsing by Author "Abubakr Eltayeb Mohammed Eltayeb"

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    Application of the Spectral Local Linearization Method on a System of Nonlinear Ordinary Di erential Equations
    (Alneelain University, 2016-12) Abubakr Eltayeb Mohammed Eltayeb
    In this study the problem of unsteady nano uid ow over a stretching sheet subject to couple stress e ects is presented. Instead of assuming that the nano-particle volume fraction at the boundary surface may be actively controlled, a realistic boundary condition for the nanoparticle volume fraction model is that the nano-particle ux at the boundary be set to zero. We assume there is no active control of the nano-particle volume fraction at boundary. The spectral local linearisation method has been used to solve the governing equations, moreover the results were further con rmed by using the quasi-linearization method. The qualitative and quantitative e ects of the dimensionless parameters in the problem such as the couple stress parameter, the Prandtl number, the Brownian motion parameter, the thermophoresis parameter and the Lewis number on the uid behavior are determined. i
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    Application of the Spectral Local Linearization Method on a System of Nonlinear Ordinary Differential Equations
    (Al-Neelain University, 2016) Abubakr Eltayeb Mohammed Eltayeb
    Abstract In this study the problem of unsteady nanofluid flow over a stretching sheet subject to couple stress effects is presented. Instead of assuming that the nano-particle volume fraction at the boundary surface may be actively controlled, a realistic boundary condition for the nanoparticle volume fraction model is that the nano-particle flux at the boundary be set to zero. We assume there is no active control of the nano-particle volume fraction at boundary. The spectral local linearisation method has been used to solve the governing equations, moreover the results were further confirmed by using the quasi-linearization method. The qualitative and quantitative effects of the dimensionless parameters in the problem such as the couple stress parameter, the Prandtl number, the Brownian motion parameter, the thermophoresis parameter and the Lewis number on the fluid behavior are determined. iv