eos ge mixing rules for cubic equations of state

Ngày tải lên: 11/07/2015, 13:59

... 100% Mole fraction of more v olatile component Geometrical interpretation of equations for the amount of liquid and vapor in the two-phase region FIGURE 1–13 equations of state and pvt analysis ... law of the rectilinear diameter, which states that the arithmetic average of the densities of the liquid and vapor phases is a linear function of the temperature The straight line of average density ... diagram for a two-component system 21 Phase diagram of a methane/ethane mixture Courtesy of the Institute of Gas Technology FIGURE 1–9 22 equations of state and pvt analysis fundamentals of hydrocarbon...

Ngày tải lên: 02/04/2014, 16:04

... optimal power output Wi of each stage heat engine versus the stage i for Newtonian heat transfer law (fixed T1 f ) Table Optimization results of the key parameters of the multistage endoreversible ... of βθ i , while the stage i is relative large, the power output Wi decreases with the increase of βθ i , i.e the optimal distributions of the power output Wi along the stage i are different for ... pp.359-382 Newtonian heat transfer law is larger than that for the radiative heat transfer law; the power output of each stage heat engine for the stage-by-stage optimization strategy with the radiative...

Ngày tải lên: 05/09/2013, 15:28

... number of iterations needed for convergence and the total time for the serial computation of Red - Black SOR and Jacobi method are given in the following tables Table Number of Iterations of sequential ... relation between the total (CPU) time spent on the performance of a program, the speedup and the efficiency of this performance The speedup of the performance is defined as S = Ts /Tp, where Ts (Tp) ... time), respectively The efficiency of the performance is determined as E = S/P , where P is the number of processors The result of an experiment with PFS method for (29) is reported in the following...

Ngày tải lên: 13/02/2014, 03:20

... Analysis of the advantages and shortcomings of cubic EoS 3.3.1 Advantages of Cubic EoS 3.3.2 Shortcomings and limitations of cubic EoS 3.4 Some recent developments with cubic EoS 3.4.1 Use of liquid ... intermolecular forces in model development 2.4.1 Improved terms in equations of state 2.4.2 Combining rules in equations of state 2.4.3 Beyond the Lennard-Jones potential 2.4.4 Mixing rules 2.5 Concluding ... 6.8 Cubic EoS for polymers 6.8.1 High-pressure polymer thermodynamics 6.8.2 A simple first approach: application of the vdW EoS to polymers 6.8.3 Cubic EoS for polymers 6.8.4 How to estimate EoS...

Ngày tải lên: 18/02/2014, 15:20

... Capital Access, Office of Disaster Assistance, Office of Entrepreneurial Development, Office of Government Contracting and Business Development, Office of Hearings and Appeals, Office of International ... II Scope of Plan a SBA Rulemaking Offices The agency’s regulatory framework is structured around the program offices that oversee the various agency programs: Office of Advocacy, Office of Capital ... responsible for retrospective review of Agency rules is Marie Johns, Deputy Administrator, Marie.Johns@sba.gov The Office of General Counsel provides support to the Deputy Administrator b Types of documents...

Ngày tải lên: 07/03/2014, 02:20

... four sets of lines, log spaced: vertical for frequency, horizontal for velocity, down and to the right for acceleration, and down and to the left for deflection Zero Mean Simple Shock General Shape ... HIGH FREQUENCY LIMIT OF THE PLATEAU OF THE UNDAMPED PVSS OF THE SIMPLE SHOCKS OF THE HIGH PV REGION IS SET BY THE MAXIMUM ACCELERATION OF THE SHOCK The Low Frequency Asymptote of a Zero Mean Shock ... in bending vibrations of beams and longitudinal vibrations of rods The proof uses the partial differential equations for vibrating beams and rods When vibrating at one of their natural frequencies,...

Ngày tải lên: 09/03/2014, 00:20

Ngày tải lên: 14/03/2014, 13:20

... automaton together The third measure we used to evaluate the quality of automata concerns the size of the automata We compute NumEdges and NumStates (the number of edges and the number of states of the ... value of PP, while, moreover, the value of MS provides us with information about the generalization capacity of automata: the lower the value of MS, the larger the generalization capacities of the ... the former again have consistently lower NumEdges and NumStates values, for all parts of speech, even where bigram-based automata have a lower perplexity POS DT VBP NN NumEdges NumStates NumEdges...

Ngày tải lên: 23/03/2014, 19:20

... would be flagged by the user and added to the sample set for future generations of transcription rules The first stage operates o n "words "1 while second stage operates on "clusters" of vowels ... content of attrlbute-vaiues might be information When generating rules using UTTER the user has the option of using either only a test for equality in the decision tree, or a larger set of tests ... generation of new transcription rules The inference routine is b a s e d o n techniques d e v e l o p e d in artificial intelligence for the purpose of generating decision trees based on sets of examples...

Ngày tải lên: 24/03/2014, 05:21

... solutions for a class of higher-order difference equations Huantao Zhu1 and Weibing Wang∗2 Hunan College of Information, Changsha, Hunan 410200, P.R China Department of Mathematics, Hunan University of ... existence theorem for single and multiple positive periodic solutions of (1.3) Our aim of this article is to study the existence of periodic solutions for the higherorder difference equations (1.1) ... existence of periodic solutions for first-order functional difference equations [8–12] Only a few article have been published on the same problem for higher-order functional difference equations...

Ngày tải lên: 18/06/2014, 22:20

... inequalities for a class of even-order differential equations Qi-Ming Zhang∗1 and Xiaofei He2 College of Science, Hunan University of Technology, Zhuzhou, Hunan 412000, P.R China College of Mathematics ... criterion of Lyapunov Am J Math 73, 885–890 (1951) [3] Cheng, SS: Lyapunov inequalities for differential and difference equations Fasc Math 23, 25–41 (1991) [4] He, Z: Existence of two solutions of m-point ... establish some sharper Lyapunov-type inequalities for (1.4) under the same boundary value conditions of Theorem 1.1 Main results In the proof of our results, the following lemma is very important...

Ngày tải lên: 20/06/2014, 21:20

... http://www.boundaryvalueproblems.com/content/2011/1/37 Page 13 of 15 of (1.1) Finally, by Harnack inequality due to Trudinger [26], we obtain that Ul is a positive solution of (1.1) □ + Proof of Theorem 1.2 From Theorem 4.3, we get the first ... ||ul||μ ® as l ® 0+ □ Proof of Theorem 1.1 From Theorem 4.3, it follows that the problem (1.1) has a posi+ tive solution uλ ∈ Nλ for all l Î (0, Λ0) □ Proof of Theorem 1.2 ¯ For

Ngày tải lên: 20/06/2014, 22:20

... i.e., (6) splits into N separate equations, obviously Let l0 = and, for convenience, only one eigen vector corresponds to this eigenvalue of Λ Then, Re li < for the rest i = 1,p, since the matrix ... is bounded in R ∪ SR of Equation 9, such that it R The properties of particular solutions of Equation m Let Hn (x) be mth the harmonic of a homogeneous harmonic polynomial of degree n,a m m m ... of n holds Thus, the validity of (15) is proved for s = Rutkauskas Boundary Value Problems 2011, 2011:16 http://www.boundaryvalueproblems.com/content/2011/1/16 Page of 11 Let (15) be valid for...

Ngày tải lên: 21/06/2014, 00:20

... directed to the study of spatial behavior of solutions of partial differential equations and systems The history and development of this question is explained in the work of Horgan and Knowles ... of the cylinder Payne and Schaefer [14] proved such results for some classes of heat conduction problems In [15], Quintanilla investigate the spatial behavior of several nonlinear parabolic equations ... Phragmén-Lindelöf type theorems for equation (1.1) with nonlinear dissipative feedback terms on the boundary Our study is inspired by the results of [21] For the proof of our results, we will use...

Ngày tải lên: 21/06/2014, 00:20

... Lan Project of Jiangsu Province, the Foundation for Young Talents in College of Anhui Province Grant No 2011SQRL115 and the program sponsored for scientific innovation research of college graduate ... Uniform decay of solutions for a quaslinear system of viscoelastic equations Nonlinear Anal 71, 2257–2267 (2009) doi:10.1016/j.na.2009.01.060 22 Agre, K, Rammaha, MA: Systems of nonlinear wave equations ... Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping Boundary Value Problems 2011 2011:22 Page 19 of 19 ...

Ngày tải lên: 21/06/2014, 00:20

... x(0) = -x(1) The authors of [20-24] consider this kind of “anti-periodic” conditions for differential equations or impulsive differential equations To the best of our knowledge it is the first article ... Advances in Difference Equations 2011, 2011:14 http://www.advancesindifferenceequations.com/content/2011/1/14 Page of 17 It completes the proof Now consider the existence of solutions of PBVP (1.1) It ... function r(t) = -||x(t) ||2, t Î [0, 1], where x(t) is a solution of (3.6), for the rest part of the proof we proceed as in the proof of Theorem 3.1 Corollary 3.2 Let f be a scalar-valued function...

Ngày tải lên: 21/06/2014, 02:20

... conditions for the existence of at least one or two positive solutions for the boundary Page of 13 Zhao et al Advances in Difference Equations 2011, 2011:10 http://www.advancesindifferenceequations.com/content/2011/1/10 ... existence and uniqueness of solutions for initial value problem of fractional differential equations J Univ Jinan 2010, 24:312-315 Page 12 of 13 Zhao et al Advances in Difference Equations 2011, 2011:10 ... ∈ [0, 1] Zhao et al Advances in Difference Equations 2011, 2011:10 http://www.advancesindifferenceequations.com/content/2011/1/10 Page of 13 Proof For u Î P, ≤ t ≤ 1, by Lemma 2.4, ||Tu|| = max...

Ngày tải lên: 21/06/2014, 03:20

... employed for the formation of Ge- NCs in SiN matrix with thinner HfO /SiO stack tunnel layers In addition, taking advantage of the excellent diffusion barrier properties of Si N [17], well-defined Ge- NCs ... http://www.nanoscalereslett.com/content/6/1/177 Page of Figure Cross-sectional HREM images of Ge+ -implanted SiN/HfO2/SiO2 stack layers Cross-sectional HREM images of Ge+ -implanted SiN layers with HfO2/SiO2 ... band edge of Ge- NCs [30] A significant memory window of 2.36 V has been achieved through a waiting time of 104 s with a possible trend of stabilization indicating charge confinement in Ge- NCs...

Ngày tải lên: 21/06/2014, 05:20