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37 articles for “Ordinary Differential Equations”
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Research ArticleOpen accessIn the abstractViscous Dissipation Effect on Steady free Convection and Mass Transfer Flow past a Semi-Infinite Flat PlatePalanisamy Geetha, Muthamperumal Bhavathikannu Krishna MoorthyProblem statement: A steady two-dimensional free convection and mass transfer flow past a continuously moving semi-infinite flat plate is studied theoretically, by taking into account the viscous dissipation effect. Approach: The governing equations are transformed into a set of simultaneous ordinary differential equation by using suitable similarity transformations. The coupled differential equations are integrated using the Runge-Kutta Gill method together … …Journal of Computer Science, Vol. 7, Issue 7 · 30 Jun 2011 · 6,503 accessesView PDFCite
Research ArticleOpen accessIn the abstractVariable Viscosity, Chemical Reaction and Thermal Stratification Effects on Mixed Convection Heat and Mass Transfer along a Semi-Infinite Vertical PlateP. Geetha, M.B.K. MoorthyProblem statement: In this research the researchers studied and made an analysis to the heat and mass transfer characteristics in a viscous fluid over a semi-infinite vertical porous plate by taking into account the variable viscosity, chemical reaction and thermal stratification effects. Approach: The governing partial differential equations were transformed into a set of coupled non-linear ordinary differential equations, which … …American Journal of Applied Sciences, Vol. 8, Issue 6 · 13 Jun 2011 · 6,848 accessesView PDFCite
Research ArticleOpen accessIn the abstractSimilarity Solutions for Free Convection Between Two Parallel Porous Walls at Different TemperaturesA. J. Omowaye, O. K. KorikoProblem statement: A two dimensional steady laminar free convective flow of viscous incompressible fluid between two parallel porous walls is considered. Approach: Using the similarity variable, the partial differential equations were reduced to ordinary differential equations. The coupled ordinary differential equations were solved numerically using shooting method. The effect of various physical parameters, such as the Prandtl number, Grashof number, … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 7,783 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Time-Dependent Mean and Variance of the Non-Stationary Markovian Infinite Server SystemPeter M. EllisProblem statement: In many queuing situations the average arrival and service rates vary over time. In those situations a transient solution for the state probabilities and mean and variance must be obtained. Approach: The mean and the variance of a particular infinite server model will be obtained using the state differential-difference equations and the factorial moment generating function. The average … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,422 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 abstractA Repairable System with N Failure Modes and K Standby Units Using Separation of Variable MethodKh. M. El-Said, N. A. AginaThis study deals with a repairable system with N failure modes and K standby unit. Using separation of variable method by solving linear ordinary differential equation for system equations obtained by using the supplementary variable method. …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 6,107 accessesView PDFCite