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        Successive Complementary Expansion Method for Solving Supersonic Laminar Flow Over Thin Airfoils& Numerical Simulation

        Omar El-aajine,Azeddine Naamane,Mohammed Radouani,Benaissa El Fahime 한국유체기계학회 2022 International journal of fluid machinery and syste Vol.15 No.3

        The aim of the present study is two-fold. Firstly, it attempts to solve the asymptotic model of the 2D stationary potential flow of a supersonic viscous fluid over thin airfoils. In the case of a high Re number: = (105), and a free stream Mach number of ∞ = 1.45, the asymptotic solution is built using the new successive complementary expansion method. The theoretical Mach number of the flow is estimated in the outer inviscid zone along the airfoil surface, and a correction term is added to account for the viscous boundary layer effect in order to get an accurate approximation throughout the whole domain. Secondly, for comparison purposes, numerical simulations of the NACA 43013 airfoil were run for the Mach number distribution in each area. On the one hand, when compared to numerical simulations, the asymptotic supersonic laminar viscous flow solution shows good agreement for the laminar boundary layer but begins to diverge slightly from = , .At this point, the laminar-turbulent transition starts, then the turbulent boundary layer develops towards the trailing edge. On the other hand, the Mach number distribution for the outer inviscid region matches the simulation and illustrates the change in velocity upon interaction with both the detached shock wave and the expansion waves.

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        Wind Turbine’s Gearbox Aided Design Approach Using Bond Graph Methodology and Monte Carlo Simulation

        Naima Jouilel,Mohammed Radouani,Benaissa El Fahime 한국정밀공학회 2021 International Journal of Precision Engineering and Vol.8 No.1

        Uncertainties in geared products vary according to different levels; there are design uncertainties (physical assumptions, parameters estimations, etc.), manufacturing errors (cutting defects, assembly errors, defects due to heat treatments, etc.) and operating errors such as lubrication. In this paper, uncertainties effect on the transmitted power within a 750 kW Horizontal Axis Wind Turbine gearbox is investigated. A methodology for transmission chain modelling and parametric synthesis in the design phase is detailed. It is based on Bond Graph theory to establish uncertain physical model and Monte Carlo Simulation to conduct a parametric synthesis allowing the definition of each parameter’s interval of variation. After model verification by means of 20-Sim (Controllab product), power gap reveals a variation of 34.87 kW around the nominal value. In addition, Monte Carlo Simulation allows the prediction of each parameter variation effect on the torque transmitted to the induction machine. Study’s results will provide designers with information to conduct a robust design and then achieve high machine’s efficiency.

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