Despite the advantages of nuclear technology to mankind, it attendance accident is always catastrophic. In this work, the energy balance equations associated with nuclear technology are structured in parametric form to form the basis of our Mathematical model solvable by the Conjugate Gradient Method (CGM).
J. Omolehin, A. Lukman and K. Rauf, "Control Approach to Nuclear Safety," Applied Mathematics, Vol. 3 No. 10, 2012, pp. 1215-1219. doi: 10.4236/am.2012.330177.
[1] A. C. Kadak, et al., “A Response to the Environmental and Economic Challenge of Global Warming,” Massachusetts Institute of Technology, Massachusetts, 1998, pp. 1-6.
[2] IAEA Austria, “Structure of Nuclear Power Plant Design Characteristics in the IAEA Power reactor Information System(PRIS),” International Atomic Energy Agency (IAEA), Vienna, 2007, pp. 9-17.
[3] S. Frank, “Nuclear Reactors,” Kennesaw State University, Kennesaw, 2009, pp. 1-13. http//www.chemcases.com/nuclear/nc-10.html.
[4] Wikipedia, “Boiling Water Reactor Safety System,” The Free Encyclopedia, 2011, pp. 2-9. http://en.wikipedia.org/wiki/Boiling-water-reator-safety-systems.
[5] Encyclopaedia Britannica, “Windmill Power,” (Ultimate Refrence Suite) Chicago Encyclopaedia Britannica, Chicago, 2010.
[6] Encyclopaedia Britannica, “Hydroelectric Power,” (Ultimate Refrence Suite) Chicago Encyclopaedia Britannica, Chicago, 2010.
[7] C. K. Otto, “Fossil Fuel Power,” University of Tennessee, Ultimate Reference Suite Chicago Encyclopaedia Britannica, Knoxville, 2011.
[8] S. Ashok, “Solar Energy,” Department of Engineering, Pennsylvania State University: Ultimate Reference Suite Chicago Encyclopaedia Britannica, Chicago, 2011.
[9] J. S. Walker, “The Three Mile Island: ANuclear Crises in Historical Perspective. Berkeley,” University of California Press, Berkeley, 2004, pp. 216-265.
[10] “The Chernobyl Facts,” 2011. http://www.chernobyl-interntional.org/documents/chernobylfacts2.pdf.
[11] Wikipedia, “The Free Encyclopedia,” Fukushima Daiichi Nuclear Reactor Disaster, Fukushima, 2011, pp. 5-27. http://en.wikipedia.org/wiki/Fukushima-Daiichi-nclear-disaster.
[12] Wikipedia, “The Free Encyclopedia,” Energy in Japan, 2009, p. 1. http://www.en.wikipedia.org/wiki/Electricity-sector-in-Japan.
[13] “Nuclear Fuel Behaviour in Loss-of-Coolant-Accident (LOCA) Conditions,” Nuclear Energy Agency (NEA), 2009, p. 141. http://wwwoecd-nea.org/nsd/reports/2009/nea6846-LOCA.pdf.
[14] “Mitigation of Hydrogen Hazard in Water Cooled Power Reactors,” International Atomic Energy Agency (IAEA), 2001, pp. 3-10. http://www-pub.iaea.org/MTCD/publicatuion/PDF/te-1196-prn.pdf.
[15] “The Enargy Balance for Chemical Reactors,” Nob Hill Publishing, LLC., Adison Wisconsin, 2011, pp. 1-182. http://jbrwww.che.wisc.edu/home/jbraw/chemreacfun/chb/slides-enbal.pdf.
[16] G. H. Brian, “Energy Equations for Reactors,” Department of Chemical Engineering and Material Science, University of California, Davis: Lecture Note, Berkeley, 2010, pp. 9-13.
[17] J. O. Omolehin, “On the Control of Reaction Diffusion Equation,” Ph.D. Thesis, University of Ilorin, Ilorin, 1991.
[18] J. O. Omolehin, K. Rauf and D. J. Evans, “Conjugate Gradient Method Approach to Queue Theory,” International Journal of Computer Mathematics, Vol. 82, No. 7, 2005, pp. 829-835. http://www.tandf.co.uk/journals. doi:10.1080/00207160412331296670
[19] J. O. Omolehin, L. Aminu and K. Rauf, “Computational Results on Quadratic Functional Model for the Tokens of Nuclear Safety,” American Journal of Computational Mathematics, 2012 (submitted for publication). http://www.scirp.org/journals/ajcm