The consistency of the constraint with the evolution equations for spatially inhomogeneous and irrotational silent (SIIS) models of Petrov type I, demands that the former are preserved along the timelike congruence represented by the velocity of the dust fluid, leading to new non-trivial constraints. This fact has been used to conjecture that the resulting models correspond to the spatially hom...

thermodynamic restrictions and simultaneous effects of operational conditions on the homogeneous rhodium-catalyzed carbonylation of methanol are studied in this line of research. it is shown that the general nrtl-virial model can be appropriated to study thermodynamics of the carbonylation. it is obtained that the reaction is kinetically and thermodynamically reasonable at temperatures above 42...

An expansion method based on time fractional Sine-Gordon equation is implemented to construct some real and complex valued exact solutions the Korteweg-de Vries modified equations in forms. Compatible traveling wave transform plays a key role be able apply homogeneous balance technique set predicted solution. The relation between trigonometric hyperbolic functions allows form with multiplicatio...

A force decomposition (FD) method previously used for two-body interactions is extended to three-body interactions. Three modified force decomposition strategies, namely cyclic decomposition (CD), balanced cyclic decomposition (BD) and precise decomposition (PD) are proposed. They are based on the decomposition of the three-body force matrix and the precise estimation of triplets involved in ea...

material balance around process has been conducted by using mixer output equations. a method based on mason's theory has been proposed to develop mixer output equations.