Abstract
The population balance equation for crystallization in a continuous mixed suspension and mixed product removal crystallizer accounting for the effects of arbitrary crystal breakage (an outstanding problem) has been solved by the method of weighted residuals. The trial functions used were problem-specific polynomials generated by the Gram-Schmidt orthogonalization process with a suitable weight function in the definition of the inner product. The weight function emerged from the analytical solution of multilated versions of the original population balance equation. The method used also included a Vorobyev's method of moments which is essentially a variation of the method of weighted residuals. Accurate solutions were obtained with only four problem-specific polynomials thus rating these trial functions above the more standard (and traditional) choices like Laguerre polynomials with which no satisfactory solution could be obtained even when a large number of function were employed.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
