Let $S=K[x_1,\ldots,x_n]$ be the polynomial ring in $n$ variables over a field $K$. In this paper, we compute socle of $\cb$-bounded strongly stable ideals and determine that saturation number equigenerated ideals. We also provide explicit formulas for $\sat(I)$ Veronese type $I$. Using formula, show $\sat(I^k)$ is quasi-linear from beginning function explicitly.

the simultaneous flow of oil and water in porous media is described by relative permeability curves, mainly derived from laboratory experiments. relative permeability is of paramount importance in predicting reservoir production performance and drive mechanisms and its value depends largely on the volume fraction of fluids present in the test samples. nowadays x-ray scanners are one of the most...

Residual gas saturation is one of the most important parameter in determining recovery factor of water-drive gas reservoir. Visual observation of processes occurring at the pore level in micromodels can give an insight to fluid displacements at the larger scale and also help the interpretation of production performance at reservoir scale. In this study experimental tests in a glass micromod...

Forced convective condensation in vertical channel is investigated numerically. The condensation boundary layers that occur due to temperature difference between the walls and saturation temperature of steam is simulated by the volume of fluid (VOF) method. The effect of variations in the hydraulic diameter, steam velocity, Re number and temperature difference between the wall and saturation te...

Inspired by a 1987 result of Hanson and Toft [Edge-colored saturated graphs, J. Graph Theory 11 (1987), 191–196] and several recent results, we consider the following saturation problem for edge-colored graphs. An edge-coloring of a graph F is rainbow if every edge of F receives a different color. Let R(F ) denote the set of rainbow-colored copies of F . A t-edge-colored graph G is (R(F ), t)-s...