the critical properties of a solute are required for modeling of the solubility by the equation of state. for many compounds, the critical properties are not available. so, group contribution method is utilized as a common method to estimate these properties. but, it leads to the consecutive errors in calculations of the solubility modeling. in this study, soave-redlish-kowang (srk) and peng-ro...

The critical properties of a solute are required for modeling of the solubility by the equation of state. For many compounds, the critical properties are not available. So, group contribution method is utilized as a common method to estimate these properties. But, it leads to the consecutive errors in calculations of the solubility modeling. In this study, Soave-Redlish-Kowang (SRK) and Peng-Ro...

Reverse micellar systems are nanofluids with unique properties that make them attractive in high selectivity separation processes, especially for biological compounds. Understanding the phase behavior and thermodynamic properties of these nanosystems is the first step in process design. Separation of components by these nanosystems is performed upon contact of aqueous and reverse micellar phase...

In memory of my father Sundaram Ramakrishnan (SRK) Contents 1. Introduction 2. Notation and preliminaries 3. Construction of ⊠ : A(GL(2)) × A(GL(2)) → A(GL(4)) 3.1. Relevant objects and the strategy 3.2. Weak to strong lifting, and the cuspidality criterion 3.3. Triple product L-functions: local factors and holomorphy 3.4. Boundedness in vertical strips 3.5. Modularity in the good case 3.6. A d...

We establish results concerning the profinite completions of 3-manifold groups. In particular, we prove that the complement of the figure-eight knot SrK is distinguished from all other compact 3-manifolds by the set of finite quotients of its fundamental group. In addition, we show that if M is a compact 3-manifold with b1(M) = 1, and π1(M) has the same finite quotients as a free-by-cyclic grou...

In recent years, implicit stochastic Runge–Kutta (SRK) methods have been developed both for strong and weak approximations. For these methods, the stage values are only given implicitly. However, in practice these implicit equations are solved by iterative schemes such as simple iteration, modified Newton iteration or full Newton iteration. We employ a unifying approach for the construction of ...

Calculation of phase and chemical equilibria is of fundamental importance for the design and simulation of chemical processes. Methods that minimize the Gibbs free energy provide equilibrium solutions that are only candidates for the true equilibrium solution. This is because the number and type of phases must be assumed before the Gibbs energy minimization problem can be formulated. The tangen...