There has been little research into surface-ablation effects on hypersonic boundary-layer instability, and the current understanding of real-gas effects on hypersonic boundary-layer instability still contains uncertainties. The objective of the current work was to analyze the hypersonic boundary-layer transition process using linear-stability theory, inwhich surface ablation, aswell as real-gas...

Singular perturbation problems have been studied by many mathematicians. Since the approximate solutions of these problems are as the sum of internal solution (boundary layer area) and external ones, the formation or non-formation of boundary layers should be specified. This paper, investigates this issue for a singular perturbation problem including a first order differential equation with gen...

In the present paper we study the effect of rigid boundary on the propagation of Love waves in an inhomogeneous substratum over an initially stressed half space, where the heterogeneity is both in rigidity and density. The dispersion equation of the phase velocity has been derived. It has been found that the phase velocity of Love wave is considerably influenced by the rigid boundary, inhomogen...

In order to capture the small-scale heterogeneity, two computational multiscale algorithms are developed. The first approach is a stochastic multiscale method. This new method ensures both local and global mass conservation. Starting from a specified covariance function, the stochastic log-permeability is discretized in the stochastic space by using a truncated Karhunen-Loeve expansion with sev...

Computer molecular dynamics simulations of a two-dimensional B = 13 bicrystai, interact@ through a Cennard-Janes potential, have been performed. Grain boundary phase equilibria were studied through the temperature dependence of the bicrystal enthalpy. Two phenomena were studied: a transition to a liquid-like layer at approximately 80% of the bulk melting point, and a reorientation of the grain ...