A Derivation of Akcasu’s “mlp” Equations for 1-d Particle Transport in Stochastic Media
نویسندگان
چکیده
This paper presents a new derivation of Akcasu’s Modified Levermore-Pomraning (MLP) model for estimating the ensemble-averaged angular flux for particle transport problems in 1-D geometrically random media. The significant new feature of the MLP equations is that, unlike the earlier Levermore-Pomraning (LP) model, the MLP equations are exact for certain classes of problems with scattering.
منابع مشابه
Size exclusion during particle suspension transport in porous media: stochastic and averaged equations
A population balance model is formulated for transport of stable particulate suspensions in porous media. Equations for particle and pore size distributions were derived from the stochastic Master equation. The model accounts for particle flow reduction due to restriction for large particles to move through small pores. An analytical solution for low particle concentration is obtained for gener...
متن کاملA Collaborative Stochastic Closed-loop Supply Chain Network Design for Tire Industry
Recent papers in the concept of Supply Chain Network Design (SCND) have seen a rapid development in applying the stochastic models to get closer to real-world applications. Regaring the special characteristics of each product, the stracture of SCND varies. In tire industry, the recycling and remanufacturing of scraped tires lead to design a closed-loop supply chain. This paper proposes a two-st...
متن کاملThermoelectric transport in billiard systems
We discuss the thermoelectric (TE) transport in billiard systems of interacting particles, coupled to stochastic particle reservoirs. Recently in [1], analytical exact expressions for the TE transport of noninteracting gases of polyatomic molecules were obtained, and a novel microscopic mechanism for the increase of thermoelectric efficiency described. After briefly reviewing the derivation of ...
متن کاملExtraction of model parameters for reactive solute transport
In the present study, tried to examine the reactive solute relationships for transport and degradation processes through the rockfill media. By applying the analytical solution of reactive transport, the 1st to 3rd theoretical temporal moments have been extracted then, by using two methods of curve fitting and temporal moment matching, the coefficients of dispersion and degradation have been ex...
متن کاملNumerical solution of second-order stochastic differential equations with Gaussian random parameters
In this paper, we present the numerical solution of ordinary differential equations (or SDEs), from each order especially second-order with time-varying and Gaussian random coefficients. We indicate a complete analysis for second-order equations in special case of scalar linear second-order equations (damped harmonic oscillators with additive or multiplicative noises). Making stochastic differe...
متن کامل