Advances in Chemical Engineering by Z. Nawaz, et. al.

By Z. Nawaz, et. al.

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Therefore, the estimation of the density at a given pressure should be performed using an iterative procedure, starting from initial guesses because of the multiplicity of the solution. A solution which is obtained by an iterative technique depends on the choice of the initial guess. e. initial guesses) had already been known. Hence, an alternative, robust, fast and accurate technique that can predict all acceptable solutions is proposed. , 1981). It should be pointed out that Chebyshev series provide high accuracy and can be transformed to power series which are suitable for root finding procedure.

155–172. Soave, G. (1972). Equilibrium Constants from a Modified Redlich-Kwong Equation of State. Chem. Eng. , Vol. 27, pp. 1197-1203. M. M. (1994). Equation of State for Mixtures of Hard Sphere Chains Including Copolymers. Macromolecules, Vol. 27, pp. 441. E. (1973). Fluid Thermodynamic Properties for Light Petroleum Systems, Gulf Publishing Company, Houston. R. & Khodapanah, E. (2009). An Investigation on the Sensitivity Analysis of the Parameters of Proposed Wax Precipitation Model. Journal of Petroleum Science & Engineering, Vol.

In conjunction with the above equations, the following material balance equations can be derived: , −1 1+ −1 + −1 =0 = 1, … , (216) 32 Advances in Chemical Engineering −1 1+ −1 + −1 =0 = 1, … , (217) and are where, and are the mole fraction of the gas and solid phases, respectively. the equilibrium ratios of the vapor-liquid and liquid-solid phase equilibrium, respectively. In order to find the values of and using the above system of equations, we used the NewtonRaphson method. The complexity of multiphase flash calculations is due to the fact that the number of phases in equilibrium is not known a priori.

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