Introduction: A Direct Simulation Monte Carlo (DSMC) solver with a modified collisional routine is used to investigate an argon gas flow through millimeter-scaled thruster nozzle high-density ratios. Method: The limiter scheme, denoted as the constant selection (CSL), limits possible number of selected pairs value in accordance present simulation particles cell. Results: Results CSL scheme are ...

Complex flow problems involving atmosphere re-entry have been one of the principal subjects of gas dynamics with the development of spaceflight. To study the aerodynamics of spacecraft re-entering Earth's atmosphere, Tsien (1946) early presented an interesting way in terms of the degree of gas rarefaction, that the gas flows can be approximately divided into four flow regimes based on the order...

The crossing number of a graph G is the minimum number of pairwise intersections of edges among all drawings of G. In this paper, we study the crossing number of Kn,n − nK2, Kn × P2, Kn × P3 and Kn × C4.

Classical continuummethods break down for rarefied gas flows inmicro-channels. Twononcontinuumhydrodynamicmodels are investigated here: compressible Korteweg fluid-like andBiVelocity (VolumeDiffusion) hydrodynamicmodels. The pressure driven rarefied gasflow in a rectangularmicro-channel in thewhole range of Knudsen number is numerically considered. The Kortewegmodel shows improved results in co...

The rarefied flow of nitrogen with speed ratio ͑mean speed over most probable speed͒ of S =2,5,10, pressure of 10.132 kPa into rectangular nanochannels with height of 100, 500, and 1000 nm is investigated using a three-dimensional, unstructured, direct simulation Monte Carlo method. The parametric computational investigation considers rarefaction effects with Knudsen number Kn= 0.481, 0.962, 4.81...

A k-decomposition (G1, . . . , Gk) of a graph G is a partition of its edge set to form k spanning subgraphs G1, . . . , Gk. The classical theorem of Nordhaus and Gaddum bounds χ(G1) + χ(G2) and χ(G1)χ(G2) over all 2-decompositions of Kn. For a graph parameter p, let p(k;G) denote the maximum of ∑k i=1 p(Gi) over all k-decompositions of the graph G. The clique number ω, chromatic number χ, list ...

In this work, nonlocal vibration of double of carbon nanotubes (CNTs) system conveying fluid coupled by visco-Pasternak medium is carried out based on nonlocal elasticity theory where CNTs are placed in uniform temperature change and magnetic field. Considering Euler-Bernoulli beam (EBB) model and Knudsen number, the governing equations of motion are discretized and Ritz method is applied to ob...

Diffusion of organic vapours to the surface of aerosol or cloud particles is an important step for the formation and transformation of atmospheric particles. So far, however, a database of gas phase diffusion coefficients for organic compounds of atmospheric interest has not been available. In this work we have compiled and evaluated gas phase diffusivities (pressure-independent diffusion coeff...