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122 results for “Differential Equations”
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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 abstractAn Optimal Inventory Policy for Items having Linear Demand and Variable Deterioration Rate with Trade CreditSingh Shivraj, Singh SarbjitProblem statement: Demand considered in most of the classical inventory models is constant, while in most of the practical cases the demand changes with time. In this study model has been framed to study the items whose demand changes with time and deterioration rate increases with time. The effect of permissible delay is also incorporated in this study. The objective … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 7,020 accessesView PDFCite
Research ArticleOpen accessIn the abstractNumerical Investigation of an Industrial Robot Arm Control Problem Using Haar Wavelet SeriesS. Nandhakumar, V. Selladurai, S. SekarProblem statement: An error minimization in robot arm dynamics improves operations and performance of production systems. Many contributions have been made in area of robot dynamics since the earliest study more than two decades, but, a number of researchers are still contributing various principles and new techniques for the best use of robots in reality, especially in the field of … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 4 · 31 Dec 2009 · 8,041 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 abstractInventory Management Systems with Hazardous Items of Two-Parameter Exponential DistributionAzizul Baten, Anton Abdulbasah KamilProblem statement: An exponentially decaying inventory was first developed by[10]. The certain commodities were observed to shrink with time by a proportion which can be approximated by a negative exponential function of time. Here, the novelty we took into consideration was that a constant hazardous rate followed by the two-parameter exponential distribution. Approach: We studied the inventory system with two-parameter … …Journal of Social Sciences, Vol. 5, Issue 3 · 30 Sep 2009 · 8,297 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 abstractOptimal Location of Static Var Compensator Device for Damping OscillationsM. W. Mustafa, N. MagajiProblem statement: Static Var Compensators (SVC) devices are used to improve voltage and reactive power conditions in AC systems. An additional task of SVC is to increase transmission capacity as result of power oscillation damping. The effectiveness of this controller depends on its optimal location and proper signal selection in the power system network. A residue factor had been proposed … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 2 · 30 Jun 2009 · 8,371 accessesView PDFCite