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53 results for “Partial Differential Equation”
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Research ArticleOpen accessIn the abstractModeling of an Industrial Riser in the Fluid Catalytic Cracking UnitMehran Heydari, Habib Ale Ebrahim, Bahram DabirProblem statement: The aim of this study is to obtain a model that can simulate the performance of an industrial fluid catalytic cracking unit in steady state. Approach: The reactions in the riser occur in a transported bed with the fluid and the solids in ideal plug flow. One of the main advantages of the model is that it does … …American Journal of Applied Sciences, Vol. 7, Issue 2 · 28 Feb 2010 · 8,117 accessesView PDFCite
Research ArticleOpen accessIn the abstractCost Analysis of Two-Dissimilar-Unit Cold Standby System with three States and Preventive Maintenance Using Linear First Order Differential EquationsM. Y. HaggagProblem statement: Several researchers have studied the reliability behavior of a three state systems, but no attention was paid to the reliability evaluation due to preventive maintenance. The better maintenance of the system originates better reliability. Also, standby support increases the reliability of the system. Approach: Determine the efficacy of preventive maintenance on the reliability and performance of the system. … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 6,873 accessesView PDFCite
Research ArticleOpen accessIn the abstractMathematical Model of Double Pass Photovoltaic Thermal Air Collector with FinsEbrahim M. Ali Alfegi, Kamaruzzaman Sopian, Mohd Yusof Hj Othman, Baharudin Bin YatimProblem statement: The efficiency of photovoltaic cells is generally temperature dependent (efficiency decrease when the temperature of the photovoltaic cells increase). This problem can be solved by cooling the solar cells during operation and operated at low temperature. Approach: This study presented a numerical model of double pass Photovoltaic Thermal (PV/T) solar air collector with fins attached to the back … …American Journal of Environmental Sciences, Vol. 5, Issue 5 · 31 Oct 2009 · 8,006 accessesView PDFCite
Research ArticleOpen accessIn the abstractSoret and Dufour Effects on Natural Convection Flow Past a Vertical Surface in a Porous Medium with Variable Surface TemperatureHassan A.M. El-ArabawyProblem statement: In this research the researchers studied and made an analysis to the heat and mass transfer characteristics of natural convection about a vertical surface embedded in a saturated porous medium with surface temperature distribution proportional to xλ by taking into account the diffusion-thermo (Dufour) and thermal-diffusion (Soret) effects. Approach: The governing partial differential equations were transformed into a … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,485 accessesView PDFCite
Research ArticleOpen accessIn the abstractExact Solutions of Mass Transfer over a Stretching Surface with Chemical Reaction and Suction/InjectionHassan A.M. El-ArabawyProblem statement: In this research the researchers studied and made an analysis to the effects of suction/injection and chemical reaction on mass transfer characteristics over a stretching surface. The researcher studied the effects of some parameters appear on mass transfer. Approach: Transforming the system of partial differential equations to a system of ordinary differential equations and obtaining the exact analytical … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,510 accessesView PDFCite
Research ArticleOpen accessIn the abstractMNM1D: A Numerical Code for Colloid Transport in Porous Media: Implementation and ValidationTiziana Tosco, Rajandrea SethiProblem statement: Understanding the mechanisms that control the transport and fate of colloidal particles in subsurface environments is a crucial issue faced by several researchers in the last years. In many cases, natural colloids have been shown to play a major role in the spreading of strongly sorbing contaminants, while manufactured micro-and nanoparticles, which are nowadays widely spread in the … …American Journal of Environmental Sciences, Vol. 5, Issue 4 · 31 Aug 2009 · 8,291 accessesView PDFCite
Research ArticleOpen accessIn the abstractIterative Numerical Method of Gate Turn-Off Thyristor: Comparative Study Between Si and SiCS. M. Zahim, M. Norainon, J. M. Shawal, R. I.R.M. TaufikaProblem statement: Silicon (Si) has long been the dominant semiconductor of choice for high-power, high-temperature and high-frequency device applications. However, recently, wide bandgap semiconductors, particularly Silicon Carbide (SiC) has attracted because it offers tremendous benefits over other semiconductor materials in a large number of industrial and military. A change of technology from Si to SiC will revolutionize the power electronics … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 2 · 30 Jun 2009 · 8,123 accessesView PDFCite
Research ArticleOpen accessIn the abstractDiffusion of Radioactive Materials in the AtmosphereAbdul-Wali Ajlouni, Manal Abdelsalam, Hussam Al-Rabai’ah, Abdullah M.S. AjlouniProblem statement: The dispersion of radioactive materials in the environment related to escaping of noble gases, halogens and aerosols of non-volatile radioactive materials, from the reactor containment during normal operations, or in the event of a sever reactor accident. Approach: radionuclide dispersion in the environment is demonstrated by mathematical tools which are the partial differential equations, mainly the diffusion equation. … …American Journal of Environmental Sciences, Vol. 5, Issue 1 · 28 Feb 2009 · 7,697 accessesView PDFCite
Research ArticleOpen accessIn the abstractElectric Voltage Control as an Implementation of Neural Network ApplicationsA. A. Al-Rababah, U. A.Al-RababahPresent study was proposed the monitoring of mathematical model of electric voltage source with using neural network for application in control systems as sensor and command signal. The monitoring system, consist of toroidal choke or transformer with high saturated ferromagnetic cores. The input information we receive from current periodic curves. The current was distributed into Fourier or walsh series. The … …Journal of Computer Science, Vol. 4, Issue 10 · 31 Oct 2008 · 6,294 accessesView PDFCite
Research ArticleOpen accessIn the abstractSimulation of Wind Field in Tehran Using Hybrid Diagnostic and Prognostic ModelsM. Shafie-Pour, Y. Rashidi, M. ArdestaniThis article concentrates on Wind Field Simulation in a mega city such as Tehran which is home to nearly 10 million inhabitants. The necessity of having a comprehensive knowledge about the wind field in a certain zone is significant for different reasons; the most important of all would be surveying on the emission and dispersion of pollutants. The wind models … …American Journal of Environmental Sciences, Vol. 4, Issue 5 · 31 Oct 2008 · 6,683 accessesView PDFCite