Browsing by Subject "Third grade fluids"

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    Analytical and numerical solutions of electro-osmotically driven flow of a third grade fluid between micro-parallel plates
    (2008) Akgül M.B.; Pakdemirli M.
    Electro-osmotic flow of a third grade fluid between micro-parallel plates is considered. The equations of motion are derived and made dimensionless. Approximate analytical solutions are obtained by perturbation techniques. Constant viscosity and temperature dependent viscosity (Reynolds model) cases are treated separately. Numerical solutions of the equations are also obtained. Influences of non-Newtonian parameter, Joule heating effect, viscosity index and electro-kinetic effect on the velocity and temperature profiles are shown. Approximate and numerical solutions are contrasted. © 2008 Elsevier Ltd. All rights reserved.
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    Approximate analytical solutions for flow of a third-grade fluid through a parallel-plate channel filled with a porous medium
    (2010) Aksoy Y.; Pakdemirli M.
    The flow of a non-Newtonian fluid through a porous media in between two parallel plates at different temperatures is considered. The governing momentum equation of third-grade fluid with modified Darcy's law and energy equation have been derived. Approximate analytical solutions of momentum and energy equations are obtained by using perturbation techniques. Constant viscosity, Reynold's model viscosity, and Vogel's model viscosity cases are treated separately. The criteria for validity of approximate solutions are derived. A numerical residual error analysis is performed for the solutions. Within the validity range, analytical and numerical solutions are in good agreement. © 2009 Springer Science+Business Media B.V.