We study the following problem: given a real number k and an integer d, what is the smallest ε such that any fractional (k+ε)-precoloring of vertices at pairwise distances at least d of a fractionally k-colorable graph can be extended to a fractional (k+ ε)coloring of the whole graph? The exact values of ε were known for k ∈ {2} ∪ [3,∞) and any d. We determine the exact values of ε for k ∈ (2, ...

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...

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...

هدف از این مقاله، بررسی جریان سه بعدی در یک سیستم کنترل بردار نیروی پیشران دارای چهار تیغه ی منحرف کننده عمود بر هم در داخل پوشش قرار گرفته در قسمت عقب یک نازل همگرا و واگرا می باشد. در شبیه سازی های عددی سه بعدی انجام شده، معادلات سه بعدی ناویر استوکس میانگین گیری شده زمانی به همراه مدل آشفتگی rng k-ε در شبکه بی سازمان هرمی حل شده است. تمام ویژگی های اساسی جریان شامل تداخل موج های شوک تولید شد...