Abstract
Reliable knowledge of a free falling solid particle in a quiescent liquid is necessary for a range of chemical, mineral and process engineering applications. A recent series-integral-based mathematical method, called the variational iteration method, is used, and a semi-exact solution is derived for the instantaneous velocity of the particle versus time. The equation is solved for its general form and for a realistic combination of solid–liquid systems, and the convergence of the methods is examined for a special case. The results obtained are compared with previous analytical results and the finite difference method. The outcomes clearly demonstrate the falling behavior of a particle settling in an incompressible fluid and show the effectiveness and simplicity of the current mathematical method.
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.
