we introduce and discuss the homotopy perturbation method, the adomian decomposition method and the variational iteration method for solving the stefan problem with kinetics. then, we give an example of the stefan problem with  kinetics and solve it by these methods.

Stochastic unification-based grammars (SUBGs) define exponential distributions over the parses generated by a unificationbased grammar (UBG). Existing algorithms for parsing and estimation require the enumeration of all of the parses of a string in order to determine the most likely one, or in order to calculate the statistics needed to estimate a grammar from a training corpus. This paper desc...

Diffusive transport of mass occurs at small scales in turbulent premixed flames. As a result, multicomponent diffusion, which is often neglected direct numerical simulations (DNS) combustion, has the potential to impact both turbulence and flame characteristics scales. In this study, we evaluate these impacts by examining enstrophy dynamics internal structure for lean hydrogen-air neglecting se...

Superconcentrated electrolytes, being highly thermodynamically nonideal, provide a stringent proving ground for continuum transport theories. Herein, we test an ostensibly complete model of LiPF6 in ethyl-methyl carbonate (EMC) based on the Onsager–Stefan–Maxwell theory from irreversible thermodynamics. We perform synchronous magnetic resonance imaging (MRI) and chronopotentiometry to examine h...

The purpose of this study is to develop an experimental data-based char particle gasification model in order assess the effects size, temperature and generation heating rate on global parameters. Also, effect initial porosity observed by performing parametrical numerical simulations. A continuum-based used solve inside a within external boundary layer. intrinsic CO2 reaction computed according ...

in this paper, we present a fractional mathematical model of a one-dimensional phase phase change problem (stefan problem) with latent heat a power function of position. this model includes space-time fractional derivatives in caputo sense and time dependent surface heat flux. an approximate solution of this model is obtained by optimal homotopy asymptotic method (oham) to find an approximate s...

In this work, we propose a general approach for modeling mass transfer and reaction of dilute solute(s) in incompressible three-phase flows by introducing a collision operator in lattice Boltzmann (LB) method. An LB equation was used to simulate the solute dynamics among three different fluids, in which the newly expanded collision operator was used to depict the interface behavior of dilute so...

Hydrodynamic equations for an inelastic Maxwell model are derived from the inelastic Boltzmann equation based on a systematic Chapman-Enskog perturbative scheme. Transport coefficients appear in Navier-Stokes order have been determined as a function of the restitution coefficient e, which cannot be defined for small e as a result of the high energy tail of the velocity distribution function obe...