comnode classification within membrane residue curves (m-rcms) currently hinges on lyapunov’s theorem and therefore the computation of mathematically complex eigenvalues. this paper presents an alternative criterion for the classification of nodes within m-rcms based on the total membrane flux at node compositions. this paper demonstrates that for a system exhibiting simple permeation behaviour...

Residue curve maps are a powerful tool for the preliminary design of Reactive Distillation (RD). In this study, residue curve maps of the n-butyl acetate synthesis reaction were calculated based on the Langmuir–Hinshelwood–Hougen–Watson kinetic and UNIQUAC models to calculate the physical properties of the system. The results showed that the unstable node branch emerged from the n-butyl ace...

comNode classification within Membrane Residue Curves (M-RCMs) currently hinges on Lyapunov’s Theorem and therefore the computation of mathematically complex eigenvalues. This paper presents an alternative criterion for the classification of nodes within M-RCMs based on the total membrane flux at node compositions. This paper demonstrates that for a system exhibiting simple permeation behaviour...

Reactive residue curve maps (RRCM) are useful for the design of reactive distillation columns as a tool to establish feasible zones of reaction-separation. The calculation of RRCM usually involves great computational effort due to the nonlinearity of the model equations and its iterative nature for the determination of reactive phase equilibrium. In this study, a simplified method for the gener...

recently, with increasing public awareness of food safety, developments of some valid and rapidly analytical methods are required for the determination of residual pesticides in crops.this study was conducted on validation of a reliable, accurate and precise method for multi analysis of pesticides residue in melon as a main fruit in iranian food basket. a reliable, and valid method based on spi...

Area preserving nontwist maps, i.e. maps that violate the twist condition, are considered. A representative example, the standard nontwist map that violates the twist condition along a curve called the shearless curve, is studied in detail. Using symmetry lines and involutions, periodic orbits are computed and two bifurcations analyzed: periodic orbit collisions and separatrix reconnection. The...

cucumber is one of the main vegetables in iranian food basket. a wide range of pesticides are used for crops protection during the cultivation of vegetables such as cucumber due to heavy pest infestation. analysis of pesticide residues in food and other environmental commodities have become essential requirement for consumers, producers, and food quality control authorities. this study was aime...

Distillation Residue Curve Maps (D-RCM’s) have proven to be an extremely useful graphical tool in the design and operation of both batch and continuous distillation processes. Recently submitted work by the authors has investigated the applications of Residue Curve Maps for membrane permeation systems. Such maps are referred to as M-RCM’s. This paper aims to develop a graphical tool to provide ...

Let f be a projective morphism from a smooth algebraic surface X to a smooth algebraic curve S over a perfect field k . Using the adelic language we give some relative constructions of residues and symbols and apply them to the Gysin morphism for differentials and algebraic cycles. The first section of this article is devoted to various constructions of relative residue maps from differentials ...