In this paper, a general framework for surface modeling using geometric partial differential equations (PDEs) is presented. Starting with a general integral functional, we derive an Euler–Lagrange equation and then a geometric evolution equation (also known as geometric flow). This evolution equation is universal, containing several well-known geometric partial differential equations as its spe...

The molecular-based SAFT equation of state has proven to be very versatile in the prediction of fluid phase equilibria. However, in common with all analytic equations of state, SAFT exhibits classical behavior in the critical region rather than the nonanalytical, singular behavior seen in real fluids. As a result, accurate agreement over the whole phase diagram cannot be obtained and must be lo...

The measurement of damage constants in adhesive bonding has been investigated. Bulk adhesive was used in this study for two reasons: a) stress distribution in bulk adhesive is simpler than adhesive in joints and b) specimen dimensions met fatigue test standard. Bulk adhesive was made from film-form of epoxy resin. In general, the characteristics and the behaviour of bulk adhesive may differ fro...

The DIS process on nuclei is considered in the framework of LO BK equation with local impact parameter dependence. Solving BK equation parameters for initial conditions of GBW type found in [4] were used. Integrated gluon density function and F2 nucleus structure function for different nuclei are calculated. Obtained results are compared with the different parameterizations of integrated gluon ...

Abst r Ac t A comprehensive overview of numerical methodologies currently available for analyzing and building understanding of complex processes is presented. Both equation-free and equation-based methods are discussed. Many multi-scale techniques, including the use of reduced order models, lifting-restricting methods, averaging strategies such as molecular dynamics, Monte Carlo simulation and...

The energy conditions of Einsteinian gravity (classical general relativity) do not require one to fix a specific equation of state. In a Friedmann-Robertson-Walker universe where the equation of state for the cosmological fluid is uncertain, the energy conditions provide simple, model-independent, and robust bounds on the behavior of the density and look-back time as a function of red shift. Cu...

‎we characterize those groups $g$ and vector spaces $v$ such that $v$ is a faithful irreducible $g$-module and such that each $v$ in $v$ is centralized by a $g$-conjugate of a fixed non-identity element of the fitting subgroup $f(g)$ of $g$‎. ‎we also determine those $v$ and $g$ for which $v$ is a faithful quasi-primitive $g$-module and $f(g)$ has no regular orbit‎. ‎we do use these to show in ...

A new theory model based on the local composition concept (TNRF-modified NRTL (TNRF-mNRTL) model) was developed to express the short-range contribution of the excess Gibbs energy for the solutions containing polymer and electrolyte. An equation represented the activity coefficient of solvent was derived from the proposed excess Gibbs energy equation. The short-range contribution of interaction ...

The Thomas model is the most common equation to describe dynamics of fixed-bed adsorption columns. However, its parameters’ validity strongly depends on region breakthrough curve considered for data fitting. A rigorous analysis based different error functions was carried out determine accuracy both linear and non-linear forms model. proved be more robust less susceptible experimental error, wit...