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92 results for “infinite”
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Research ArticleOpen accessEvery word in the titleDynamic Propagation Problems of Mode III Semi-Infinite CrackLu Nian-Chun, Li Xin-Gang, Cheng Yun-Hong, Cheng JinBy means of the theory of complex functions, dynamic propagation problems of mode III semi- infinite crack were researched. The problems studied can be facilely transformed into riemann-hilbert problems and the universal expression of analytical solutions of stress, displacement and dynamic stress intensity factor under the conditions of moving increasing loads Px/t and Pt2/x, respectively, are very facilely obtained using … …American Journal of Engineering and Applied Sciences, Vol. 6, Issue 3 · 28 Aug 2013 · 7,281 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleThe 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 accessEvery word in the titleTransient Solution to an infinite Server Queue with Varying Arrival and Departure RateA. A. El-SherbinyProblem statement: In many potential application of queueing theory, the transient solution of queueing system is important. Approach: This study presented the transient solution for infinite server queues with Poisson arrivals and exponential service times when the parameters of both distributions are allowed to vary with time. Based on generating functions technique which results in a simple differential equation. Using … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,977 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleResidues of Complex Functions with Definite and Infinite Poles on X-axisAbbas Y. AL-Bayati, Sasan A. Al-ShwaniProblem statement: One of the most popular areas in the mathematics is the computational complex analysis. In this study several computational complex techniques were investigated and implemented numerically. Objective: This study produced new procedures to compute the residues of complex functions by changing their numerator from a constant number to either even or odd function. Approach: In this project we … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,049 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleThe Effect of the Static Var Compensator and R/X Ratio of Short Transmission Line on Transient Stability of Single Machine Infinite Bus SystemPrechanon KumkratugProblem statement: It is becoming increasingly important to fully utilize the existing transmission system assets due to environmental legislation, rights-of-way issues and costs of construction and deregulation policies that introduced in recent years. The Static Var Compensator (SVC) has been proposed for the better control power flow and dynamic performance. The exact short transmission line model consists of the resistance … …American Journal of Applied Sciences, Vol. 9, Issue 4 · 7 Feb 2012 · 6,984 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleFREE CONVECTION OF HEAT TRANSFER IN FLOW PAST A SEMI-INFINITE FLAT PLATE IN TRANSVERSE MAGNETIC FIELD WITH HEAT FLUXP. Geetha, M.B.K. Moorthy, M. DakshinamoorthyA steady two-dimensional MHD free convection of heat transfer in flow past a semi-infinite flat plate in transverse magnetic field with heat flux has been examined. The governing partial differential equation are non-dimensionalised and transformed into a system of nonlinear ordinary differential similarity equations, in a single independent variable η and using Runge-Kutta Gill method with shooting technique. The velocity … …American Journal of Applied Sciences, Vol. 11, Issue 9 · 4 Jul 2014 · 7,059 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleViscous 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 accessEvery word in the titleVariable 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 accessEvery word in the titleTwo New Formulas for Generating Infinite Sets of Integer Numbers as a Sum of Two and Three Signed Cubic NumbersRand Alfaris, Hailiza KamarulhailiProblem statement: Two new families are introduced for generating infinite sets of integers by the summation of two and three signed cubic numbers. Approach: These two families have reduced the number of representation of finite sets of integer as a sum of cubic numbers from four cubes to two and three signed cubes. Results: It is also shown that not … …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 31 Dec 2010 · 7,069 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Two Dimensional Infinite Element Model to Study Temperature Distribution in Human Dermal Regions due to TumorsK. R. pardasani, Madhvi shakyaIn this study, a two dimensional infinite element model has been developed to study thermal effect in human dermal regions due to tumors. This model incorporates the effect of blood mass flow rate, metabolic heat generation and thermal conductivity of the tissues.The dermal region is divided into three natural layers, namely, epidermis, dermis and subdermal tissues. A uniformly perfused tumor … …Journal of Mathematics and Statistics, Vol. 1, Issue 3 · 30 Sep 2005 · 6,372 accessesView PDFCite