Characteristics of rotor blade tip clearance flow in axial compressors can significantly affect their performance and stable operation. It may also increase blade vibrations and cause detrimental noises. Therefore, this paper is contributed to investigate tip leakage flow in a low speed isolated axial compressor rotor blades row. Simulations are carried out on near-stall condition, which is val...

We specifically analyzed Cayley trees with degree k ∈ {2, · · · 6}. For each link (i, j), the weight of a loan lij was drawn uniformly in [1 − ε, 1 + ε]. We analyzed 4 values of ε, from 0.1 to 0.4, in addition to ε = 0. This was done for 102 networks for each degree k and perturbation ε, and the resulting number of failures was measured. Figure A shows the results for R = 1.02, r = 1.01, f = 50...

The dielectric dispersion ε' and dielectric loss ε" of binary mixture of 1,2-diaminopropane–dimethylaminoethanol were measured by employing the time domain reflectometry technique over a frequency range from 10 MHz to 20 GHz at 288, 298, 308, and 318 K temperatures. The accuracy in the measurement of the ε' and ε" values obtained from this technique is within ±5%. To evaluate various dielectric...

This analysis investigates the distortion of flow measurement and the increase of cavitation along orifice flowmeter. The analysis using the numerical method (CFD) validated the distortion of flow measurement through the inlet velocity profile considering the convergence and grid dependency. Realizable k-e model was selected and y+ was about 50 in this numerical analysis. This analysis also est...

Explicit constructions of binary linear codes that are efficiently list-decodable up to a fraction (1/2−ε) of errors are given. The codes encode k bits into n = poly(k/ε) bits and are constructible and list-decodable in time polynomial in k and 1/ε (in particular, in our results ε need not be constant and can even be polynomially small in n). These results give the best known polynomial depende...

We report on a calculation of εK/εK at next-to-leading in the 1/Nc expansion and to lowest order in Chiral Perturbation Theory. We discuss the short-distance matching, the scale and scheme dependence as well as the long-distance short-distance matching. We include the two known chiral corrections to our result and discuss further order p4 corrections to it. September 2000 Work supported in part...

We perform the analysis of a hyperbolic model which is the analog of the Fisher-KPP equation. This model accounts for particles that move at maximal speed ε (ε > 0), and proliferate according to a reaction term of monostable type. We study the existence and stability of traveling fronts. We exhibit a transition depending on the parameter ε: for small ε the behaviour is essentially the same as f...

1 An introduction to semi-classical analysis for a class of nonlinear Schrödinger equations We consider the asymptotic behavior of the solution to the following semi-classical nonlinear Schrödinger equation:    iε∂ t u ε + 1 2 ε 2 ∆u ε = ε α F (u ε), (t, x) ∈ R 1+N u ε |t=0 = u ε 0 (NLS ε) as positive parameter ε → 0. The parameter ε corresponds to the Planck constant and the limit ε → 0 is ...

The epsilon-inflation proved to be useful and necessary in many verification algorithms. Different definitions of an epsilon-inflation are possible, depending on the context. Recently, certain theoretical justifications and optimality results were proved for an epsilon-inflation without absolute term. In this note we show that in currently used interval iterations the epsilon-inflation without ...

In this paper, we develop a collocation method based on cubic B-spline to the solution of nonlinear parabolic equation εuxx = a(x, t)ut + φ(x, t, u, ux) subject to appropriate initial, and Dirichlet boundary conditions, where ε > 0 is a small constant. We developed a new two-level three-point scheme of order O(k + h). The convergence analysis of the method is proved. Numerical results are given...