Proposing an Approximate Mathematical Model to Conduct the Calculations of Radioactive Cs137 in the Plant

E. Arif, Ghassan; A. Awad, Alaa; A. Hilal, Mohammed

doi:10.37652/juaps.2017.141532

	Proposing an Approximate Mathematical Model to Conduct the Calculations of Radioactive Cs137 in the Plant
Journal of University of Anbar for Pure Science
Article 16, Volume 11, Issue 1, 2017, Pages 56-67 PDF (609.58 K)
Document Type: Research Paper
DOI: 10.37652/juaps.2017.141532
Authors
Ghassan E. Arif¹; Alaa A. Awad²; Mohammed A. Hilal³
¹College of Education for Pure Sciences, Tikrit University.
²College of Education for Pure Sciences, Anbar University.
³Middle Technical University
Abstract
This study aims at calculating theoretically the radioactive of cesium Cs 137 in the plant of Nineveh governorate by selecting 50 positions as samples of the study. The calculations are carried out by constructing a mathematical model that determines theoretically the radioactive of cesium Cs 137in the plant. In this paper, the main features and process of mathematical modeling is stated and used clearly in the process of constructing the mathematical model which conducts the determination of the radioactive of cesium Cs 137. The values calculated by the proposed mathematical model show that Cs 137 radioactive range is: (1.0832 in (A42 & A42) – 4.1020 in (A48)) Bq/kg in plant. These calculations are conducted by comparing the results, obtained from the constructed model, with the values of other references. The result of this comparison shows good agreement with other literatures.
Keywords
Mathematical Modeling; The Radioactive Cesium Cs; Mathematical Model; Physical Problem; Nevill

References
[3] Fritzson, P. (2010). Principles of object-oriented modeling and simulation with Modelica 2.1. John Wiley & Sons. [4] Ritchie, J. C., & McHenry, J. R. (1990). Application of radioactive fallout cesium-137 for measuring soil erosion and sediment accumulation rates and patterns: a review. Journal of environmental quality, 19(2), 215-233. [5] Aris, R. (1999). Mathematical modeling: a chemical engineer's perspective (Vo. 1). Academic Press. [6] Weimerskirch, H., Le Corre, M., Jaquemet, S., Potier, M., & Marsac, F. (2004). Foraging strategy of a top predator in tropical waters: great frigatebirds in the Mozambique Channel. Marine ecology progress series, 275, 297-308. [8] Little, Todd. D. (2013). Longitudinal structural equation modeling. Guilford Press. [9] Arif, G. E., Al-Douri, Y. “Mathematical Modeling of Physical Properties for Hexagonal Binaries”. Scholar’s Press, Germany. 2016. [10] Abu-Farsakh, H., & Qteish, A. (2007). Ionicity scale based on the centers of maximally localized Wannier functions. Physical Review B, 75(8), 085201-085206. [11]Arif, G. E., Abdullah, F. A., & Al-Douri, Y. (2014). Modeling of the Electronic Properties of Hexagonal Semiconductors. Advanced Materials Research Vo. 925, pp. 364-368. [12] Rasheed M. Yousef, Hana I. Hassan & Ahmad Kh. Emhemed. (2008) 'Determination of the specific activity of Cs¹³⁷ and K⁴⁰ in environment Nineveh governorate' Journal of Al-Rafedain Sciences, Vo. 19 (2), 205-220. [13] Gene H. Golub; Charles F. Van Loan (1996). Matrix Computations – Third Edition. The Johns Hopkins Studies in the Mathematical Sciences University Press, Baltimore and London. P. 53. ISBN 0-8018-5413-X. [14] Flash, T., & Hogan, N. (1985). The coordination of arm movements: an experimentally confirmed mathematical model. Journal of neuroscience, 5(7), 1688-1703. ⦋15⦌ لحمر، صالح، (2007) .فاعلیة برنامج مقترح فی تنمیة مهارات النمذجة الریاضیة لدى الطلاب المعلمین شعبة الریاضیات بکلیة التربیة جامعة عدن. رسالة ماجستیر، کلیة التربیة، جامعة عدن، عمان. ⦋16⦌ أبو عمیرة، محبات، (2000). تعلیم الریاضیات بین النظریة والتطبیق. الطبعة الثالثة القاهرة: الدار العربیة للکتاب. ⦋17⦌ السعید، رضا، (1989). نموذج منظومی ریاضی متعدد الأبعاد لاشتقاق مجالات البحوث الأکادیمیة فی تعلیم وتعلم الریاضیات فی کلیات التربیة. مجلة کلیة التربیة، جامعة المنوفیة، الجزء الثانی، العدد(4) .
Statistics Article View: 458 PDF Download: 163