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Darcy-Forchheimer 3D Williamson nanofluid flow with generalized Fourier and Fick’s laws in a stratified medium

Ramzan M., Gul H., Zahri M.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2020

Vol. 68, nr 2

327--335

Mathematical analysis for 3D Williamson nanofluid flow past a bi-directional stretched surface in Darcy-Forchheimer permeable media constitutes the focus of this study. The novelty of the proposed model is augmented by the addition of thermal and solutal stratification with chemical species and variable thermal conductivity. Calculations of the suggested model are conducted via the renowned homotopy analysis method (HAM). The results obtained are validated by comparing them in a limiting form with an already published article. Excellent harmony is achieved in this regard. Graphical structures, depicting impacts of assorted arising parameters versus the profiles involved are also provided. It is noticed that the velocity profile is a dwindling function of the Williamson parameter and Hartmann number. It is also stated that the Cattaneo-Christov heat flux exhibits conventional Fourier and Fick’s laws behavior when both coefficients of thermal and concentration relaxations are zero.

Optimal load distribution estimation for fault location in electric power distribution systems

Menchafou Y., Zahri M., Habibi M., El Markhi H.

Archives of Electrical Engineering

2017

Vol. 66, nr 1

77--87

Accurate fault location in an electric power distribution system (EPDS) is important in maintaining system reliability. Diverse methods have been proposed in the past. These methods whither require measurements at each load point or use single-step loads compensation, which is hardly available in practical uses. In this paper, a simple technique to bypass the load problems is proposed. The method requires calculating an optimal load distribution using the total load seen from the substation (The rated power of distribution transformers) and the network topology. The optimal load distribution is used as a fictive distribution to replace the real unknown one in fault location (FL) algorithms. The effectiveness of the proposed technique is demonstrated using a mathematical formulation first, and next, by several simulations with a classic iterative fault location algorithm. The test results are obtained from the numerical simulation using the data of a distribution line recognized in the literature.