Channel flow for low Reynolds number (power law) 

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Short description and remarks


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Short description and remarks
The aim of this study is to demonstrate the influence of the power law model for the stress tensor with nonlinear viscosity nu(u), nu(u) = nu (D(u))**(alpha), on the resulting profile of the velocity (with norm D(u) of the deformation tensor). As could be expected for the performed parameters, an increase of the parameter `alpha' in the exponent leads to a more and more flat profile, while for `alpha=0' (Newtonian!) the flow shows the typical parabolic profile. We also made calculations for values `alpha' less than 0 (for `alpha=1') which leads to even "steeper" profiles. All calculations have been performed with prescribed pressure drops only, without imposing any Dirichlet boundary conditions at the left and right edges, to let the resulting flow be "free" as possible. All flows reach their steady state due to the "small" Reynolds number. 



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