Linear variational Diophantine techniques in mass balance of chemical reactions

Variational Principle, Uniqueness and Reciprocity Theorems in Porous Piezothermoelastic with Mass Diffusion

The basic governing equations in anisotropic elastic material under the effect of porous piezothermoelastic are presented. Biot [1], Lord & Shulman [4] and Sherief et al. [5] theories are used to develop the basic equations for porous piezothermoelastic with mass diffusion material. The variational principle, uniqueness theorem and theorem of reciprocity in this model are established under the ...

Modeling of Reversible Chain Transfer Catalyzed Polymerization by Moment Equations Method

A moment equations method was performed to study the Reversible chain Transfer Catalyzed Polymerization (RTCP) of styrene in 80°C. To do this, a kinetic scheme containing conventional free radical polymerization reactions and equilibrium reactions of RTCP was assumed. After obtaining mass balance equations, three moment equations were defined for free and dormant radicals and dead chains. M...

On Solving Linear Diophantine Systems Using Generalized Rosser's Algorithm

Diophantine Equations Related with Linear Binary Recurrences

In this paper we find all solutions of four kinds of the Diophantine equations begin{equation*} ~x^{2}pm V_{t}xy-y^{2}pm x=0text{ and}~x^{2}pm V_{t}xy-y^{2}pm y=0, end{equation*}% for an odd number $t$, and, begin{equation*} ~x^{2}pm V_{t}xy+y^{2}-x=0text{ and}text{ }x^{2}pm V_{t}xy+y^{2}-y=0, end{equation*}% for an even number $t$, where $V_{n}$ is a generalized Lucas number. This pape...

Significance of Chemical Decomposition of Chloroethyl Phenyl Sulfide (CEPS) using Zinc-Cadmium Oxide (ZnO-CdO) Nanocomposite

The zinc-cadmium oxide (ZnO-CdO) nanocomposites with different weight percentages of cadmium oxide (CdO) nanoparticles were successfully synthesized by the sonochemical method using zinc and cadmium nitrates as precursors to probe their nano-structured surfaces for the decomposition reactions of chloroethyl phenyl sulfide (CEPS) as a surrogate of sulfur mustard agent simulant. Scanning electron...