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FINITE DIFFERENCE METHOD FOR SOLVING THE DISPERSION EQUATION IN OPEN CHANNELS
طريقة الفروق المحدودة لحل معادلة التشتت في القنوات المفتوحة

Author: Karim Rashid Gubashi
Journal: Al-Qadisiyah Journal for Engineering Sciences مجلة القادسية للعلوم الهندسية ISSN: 19984456 Year: 2010 Volume: 3 Issue: 1 Pages: 33-43
Publisher: Al-Qadisiyah University جامعة القادسية

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Abstract

One dimensional advection-diffusion equation is numerically solved by using finite difference method that may be simulated to describe transport of a pollutant in open channel. A generalized Newton Raphson procedure is used to solve the system of equations. The validity of the numerical model is obtained by comparing the experimental results and numerical solution under proper initial and boundary conditions. The spatial variation of concentrations is also compared with the results of experimental measurement. The application of the model revealed good agreement and convincing between experimental and numerical results

هذا البحث يتناول حل معادلة الانتشار-التشتت عدديا باستخدام طريقة الفروق المحدودة والتي تقوم بوصف انتقال الملوث في القناة المفتوحة. استخدمت طريقة نيوتن-رفسن لحل نظام المعادلات المتكونة في المحددات. لبيان صحة تطبيق هذا الموديل الرياضي اجريت مقارنة بين النتائج المختبرية مع الحل العددي تحت شروط وقيم ابتدائية معينة وكذلك اجريت مقارنة بين تغيرات التراكيز المنتشرة مع المسافة الطولية للقناة المختبرية والحل العددي. يظهر من تطبيق الموديل الرياضي بان هناك تقارب واتفاق بين النتائج المختبرية والعددية.


Article
The Effect of Shape and Arrangement of End Sill Stepped Cascade Weirs on Water Quality

Authors: Karim Rashid Gubashi --- Batool Ali Hussain
Journal: AL-NAHRAIN JOURNAL FOR ENGINEERING SCIENCES مجلة النهرين للعلوم الهندسية ISSN: 25219154 / eISSN 25219162 Year: 2018 Volume: 21 Issue: 2 Pages: 199-207
Publisher: Al-Nahrain University جامعة النهرين

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Abstract

Hydraulic structures can be accepted as the key components in improving aeration efficiency because of the strong turbulent mixing associated with substantial air bubble entrainment at these structures. Different hydraulic structures have been designed to enhance aeration such as stepped cascades. A laboratory model of stepped cascade weir with five different shapes of end sill (normal, triangle, rectangle1, rectangle2 and rectangle3) have been installed at Al- Mustansiriya University, College of Engineering to evaluate treatment system and reduced pollutants in marginal water for different flow rates (35,60 and 80 L/min). Results indicate that high removal efficiency of all pollutants parameter (Cu, Cr, Mo, Br, Fe, Mn, Zn, PO4, Cl-, ClO2, Hardness as CaCO NH NO2, Toxic matter) is for rectangle1 shape at Q=60L/min. High aeration efficiency is 45.7% for rectangle1 shape at Q=80L/min. High removal efficiency for BOD5 and COD are 48% and 47% respectivelyfor rectangle 1 at Q=80 L/min.

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