A Numerical Approach to Solve Volume-Based Batch Crystallization Model with Fines Dissolution Unit

• Main Authors: Safyan Mukhtar, Muhammad Sohaib, Ishfaq Ahmad
• Format: Article
• Language: English
• Published: MDPI AG 2019-07-01
• Series: Processes
• Subjects: volume-based population balance model with fines dissolution; quadrature method of moments; orthogonal polynomials
• Online Access: https://www.mdpi.com/2227-9717/7/7/453

In this article, a numerical study of a one-dimensional, volume-based batch crystallization model (PBM) is presented that is used in numerous industries and chemical engineering sciences. A numerical approximation of the underlying model is discussed by using an alternative Quadrature Method of Moments (QMOM). Fines dissolution term is also incorporated in the governing equation for improvement of product quality and removal of undesirable particles. The moment-generating function is introduced in order to apply the QMOM. To find the quadrature abscissas, an orthogonal polynomial of degree three is derived. To verify the efficiency and accuracy of the proposed technique, two test problems are discussed. The numerical results obtained by the proposed scheme are plotted versus the analytical solutions. Thus, these findings line up well with the analytical findings.