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155 articles for “differential equation”
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Research ArticleOpen accessIn the abstractHeat-Modeling of Microwave Assisted Epoxidation of Palm Acid OilN. Saifuddin, L. Wei Zhan, K. Xin NingProblem statement: While microwave chemistry could well be the most convenient, rapid and energy-saving way to initiate a chemical reaction, the issues of thermal versus microwave specific effect remain unaddressed. Approach: A three-dimensional Finite Element Model (FEM) was developed to predict temperature profile during the enzymatic epoxidation of palm acid oil using microwave heating. Three-dimensional partial differential equations are formulated … …American Journal of Applied Sciences, Vol. 8, Issue 3 · 25 Mar 2011 · 7,676 accessesView PDFCite
Research ArticleOpen accessIn the abstractFractional Quantum Field Theory on Multifractals SetsEl-Nabulsi Ahmad RamiProblem statement: This study is a contribution to the general program of describing complex dynamical systems using the tool of fractional calculus of variations. Approach: Following our previous work, fractional quantum field theory based on the fractional actionlike variational approach supported by Saxena-Kumbhat fractional integrals functionals, fractional derivative of order (α, β) and dynamical fractional exponent on multi-fractal sets is … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 1 · 15 Mar 2011 · 7,343 accessesView PDFCite
Research ArticleOpen accessIn the abstractRoughness Effect on an Unsteady Flow in Pipelines by Profilometry and Imaging TechniquesMabrouk Benkhedimallah, Rabah Zegadi, Mohamed BouafiaProblem statement: Currently the aero dynamical calculation in gas pipes is carried out under the assumption of steady state conditions. However real steady in a network is scarcely quasisteady. Approach: The unsteady state is governed by non-linear partial differential equations leading to mathematical difficulties. And there are fore gas pipe dimensions are computed at steady state under extreme conditions. Results: … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 1 · 29 Jan 2011 · 8,152 accessesView PDFCite
Research ArticleOpen accessIn the abstractBioengineering Assessment on Sloppy GroundMu'azu Mohammed Abdullahi, Nazri Bn Ali, Kamarudin Bn Haj AhmedProblem statement: Soft engineering solution of sloppy surface utilizes mechanical and hydrological effects of vegetation. The hydrological effects driven by transpiration, induces an increase in matric suction and consequently tension also increase along with the decrease of moisture. Therefore once the horizontal stress of the soil exceeds the limit of tensile strain of the soil cracks occurs. Approach: The negative … …American Journal of Environmental Sciences, Vol. 6, Issue 4 · 31 Aug 2010 · 7,242 accessesView PDFCite
Research ArticleOpen accessIn the abstractApproximate Solutions of a Higher Order MHD Flow of a Uniformly Stretched Vertical Permeable Surface in the Presence of Heat Generation/Absorption which Resulted from a Quadratic ReactionO. K. KorikoHigher order MHD flow of a uniformity stretched vertical permeable surface in the presence of heat generation/absorption which resulted from a quadratic reaction was studied. The resulting coupled nonlinear partial differential equations is solved by asymptotic expansion. It was discovered that the maximum value of velocity occurs in the body of the fluid close to the surface not at the … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 7,445 accessesView PDFCite
Research ArticleOpen accessIn the abstractEffect of Size of Heated Obstruction within Room on Three Dimensional Air Flow CharacteristicsAbduljabbar Muttair Ahmed, Mukhtar Ahmad, Abdur RahimProblem statement: This study reported a numerical investigation of three-dimensional turbulent buoyant recirculating flow within a room with heated obstruction. Approach: The study involved the solution of partial differential equations for the conservation of mass, momentum, energy, concentration, turbulent energy and its dissipation rate. These equations were solved together with algebraic expressions for the turbulent viscosity and the heat diffusivity, … …American Journal of Engineering and Applied Sciences, Vol. 3, Issue 2 · 30 Jun 2010 · 6,934 accessesView PDFCite
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 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