# International Journal of Mechanics

ISSN: 1998-4448
Volume 14, 2020

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of NAUN Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

Volume 14, 2020

Title of the Paper: Analysis and Control of Flow Parameters through Sluice Gate in Dam

Authors: Sudip Basack, Ghritartha Goswami, Prandeep Deka, Partha Pratim Borah, Nikos Mastorakis

Pages: 22-27

Abstract: Controlling the discharge through a gravity dam by means of sluice gate is quite common technique. Although extensive theoretical and experimental studies on discharge parameters are available, most of these studies reported sedimentation and river-bed conditions resulting in reduced discharge through a dam, although limited research has focused on controlling and adjusting the discharge considering practical scenario. This paper presents a simplified analytical model applied to a typical case study on a typical dam in western India which was used the lift irrigation technique for improving the discharge. The approach focuses on the parametric studies for predicting the variations in discharge ratio employing a range of geometrical parameters such as area and aspect ratio of the individual sluice gates and their total number. It was found that the discharge is largely affected by minor alteration in these parameters. A set of important conclusions was drawn from the entire study.

Title of the Paper: Solving the Problem of Constraints Due to Dirichlet Boundary Conditions in the Context of the Mini Element Method

Pages: 12-21

Abstract: In this work, we propose a new boundary condition called CA;B to remedy the problems of constraints due to the Dirichlet boundary conditions. We consider the 2D-linear elasticity equation of Navier-Lam´e with the condition CA;B. The latter allows to have a total insertion of the essential boundary condition in the linear system obtained without going through a numerical method like the lagrange multiplier method, this resulted in a non-extended linear system easy to reverse. We have developed the mixed finite element method using the mini element space (P1 + bubble, P1). Finally we have shown the efficiency and the feasibility of the limited condition CA;B.

Title of the Paper: Slurry Pipeline for Fluid Transients in Pressurized Conduits

Authors: Tarik Chakkour, Fayssal Benkhaldoun

Pages: 1-11

Abstract: Morocco is known by the pipeline from Khouribga to Jorf Lasfar that is considered as one of the most world’s largest for the slurry transportation. This phosphate slurry undergoes different manufacturing process. During this process, the rheological properties of the slurry have been taken into account, and next adapted for our study. There are numerous approaches in the literature which investigate different Eulerian-Lagrangian, Eulerian-Eulerian and Stochastic models to simulte the slurry flow [1], [2]-[3]. Actually, it is very difficult to consider all variables for establishing a general model, we build an Eulerian and a homogeneous one in easier framework. Among these variables, there is the stress tensor which is involved in the model. Since it is considered null, then the non-Newtonian fluid is approched by multiple friction factors. In the present work, a onedimensional three-fluid model is developed in Python. The physical model features a mass and momentum balance for each fluid. It allows to predict the pressure drop and flow patterns. The hydraulic transport of slurry system in horizontal tubes has been investigated. To simulate it dynamically, continuity and momentum equations used in applied engineering problem, are solved together. These equations are conveniently solved using the method of characteristics (MOC). The reason for utilizing this method is the robustness and efficiency compared to the finite volume method (FVM). The originality for this work takes into account the physical discontinuity at interface separating slurry and water which mix with each other. The numerical results from the numerical code model head and pressure losses. We test numerically the fitting of the model with the real physical problem. Then the model is used on simplified examples in order to show its capability to be used to predict the flow behaviour in different regimes, showing consequently its consistency.