In this work the effect of the accuracy of a FAE detonation modeling on the generated blast wave is investigated. First, a one-dimensional numerical simulation with a reduced chemical kinetics of C2H2-O2-Ar, involving 25 elementary reactions, is used as the base model. The properties of the blast calculated with this model is compared with those of simpler models, the similarity solution of Tay...

Risk response planning is one of the main phases in the project risk management and has major impacts on the success of a large-scale project. Since projects are unique, and risks are dynamic through the life of the projects, it is necessary to formulate responses of the important risks. The conventional approaches tend to be less effective in dealing with the impreciseness of risk response p...

This paper studies near-critical evolution of the spherically symmetric scalar field configurations close to the continuously self-similar solution. Using analytic perturbative methods, it is shown that a generic growing perturbation departs from the critical Roberts solution in a universal way. We argue that in the course of its evolution, initial continuous self-similarity of the background i...

We have reexamined the similarity solution for a self-gravitating isothermal gas sphere and examined implication to star formation in a turbulent cloud. When parameters are adequately chosen, the similarity solution expresses an accreting isothermal gas sphere bounded by a spherical shock wave. The mass and radius of the sphere increases in proportion to the time, while the central density decr...

We study certain similarity solutions of the Benjamin-Ono-Burgers (BOB) equation and their role in the asymptotic behavior of the general solution. For small initial data in L 1 (R) we prove that a solution of the BOB equation exists in BC(R + ; L 1 (R)) and depends continuously on its initial data. Results about existence, uniqueness, regularity, and spatial asymptotics of solutions of a simil...

We discuss self-similar solutions for jet breakup for a family of models of nonNewtonian fluids which includes the Phan-Thien Tanner model. The constitutive law is given by Tt + (v · ∇)T− (∇v)T−T(∇v)T + κT +ν(trT)a−1T = μ(∇v + (∇v)T ), (1) where a > 1. For a = 2, a recent paper establishes the existence of a similarity solution for surface tension driven jet breakup. In this paper, we show that...

risk response planning is one of the main phases in the project risk management and has major impacts on the success of a large-scale project. since projects are unique, and risks are dynamic through the life of the projects, it is necessary to formulate responses of the important risks. the conventional approaches tend to be less effective in dealing with the impreciseness of risk response pl...

In this paper we consider one-dimensional capillary redistribution of two immiscible and incompressible fluids in a porous medium with a single discontinuity. We study a special time-dependent solution, a similarity solution, which is found when the initial saturation is discontinuous at the same point as the permeability and porosity, and is constant elsewhere. The similarity solution can be u...

The steady three-dimensional boundary layer flow and heat transfer of a dusty fluid towards a stretching sheet with convective boundary conditions is investigated by using similarity solution approach. The free stream along z-direction impinges on the stretching sheet to produce a flow with different velocity components. The governing equations are reduced into ordinary differential equations b...

We introduce a new solution concept for games in extensive formwith perfect information, valuation equilibrium, which is based on a partition of each player’s moves into similarity classes. A valuation of a player is a real-valued function on the set of her similarity classes. In this equilibrium each player’s strategy is optimal in the sense that at each of her nodes, a player chooses a move t...