Throughout this paper, R will denote a commutative ring with identity and M is a unitary R- module and Z will denote the ring of integers. We introduce the graph Ω(M) of module M with the set of vertices contain all nontrivial non-essential submodules of M. We investigate the interplay between graph-theoretic properties of Ω(M) and algebraic properties of M. Also, we assign the values of natura...

in the present work a two dimensional numerical investigation of steam flows in a turbine blade passage is performed. a finite volume approach has been used and the pressure–velocity coupling is resolved using the simple algorithm. the purpose of this paper is to find that one of the used turbulent models is better for this kind of studies. a structured mesh arrangement with boundary layer mesh...

For a family F⊆ωω we define the ideal I(F) on ω×ω to be generated by family{A⊆ω×ω:∃f∈F∀∞n(|{k:(n,k)∈A}|≤f(n))}. Using ideals of form I(F), show that structure Borel in-between two well known idealsED={A⊆ω×ω:∃m∀∞n(|{k:(n,k)∈A}|<m))} andFin⊗Fin={A⊆ω×ω:∀∞n(|{k:(n,k)∈A}|<ℵ0))} in Katětov order is fairly complicated. Namely, there copy P(ω)/Fin ED and Fin⊗Fin, consequently are increasing decreasing ...

the thermo-hydraulic behavior of the air flow over a two dimensional ribbed channel wasnumerically investigated in various rib-width ratio configurations (b/h=0.5-1.75) atdifferent reynolds numbers, ranging from 6000 to 18000. the capability of differentturbulence models, including standard k-ε, rng k-ε, standard k-ω, and sst k-ω, inpredicting the heat transfer rate was compared with the experi...

The thermo-hydraulic behavior of the air flow over a two dimensional ribbed channel wasnumerically investigated in various rib-width ratio configurations (B/H=0.5-1.75) atdifferent Reynolds numbers, ranging from 6000 to 18000. The capability of differentturbulence models, including standard k-ε, RNG k-ε, standard k-ω, and SST k-ω, inpredicting the heat transfer rate was compared with the experi...