• Login
    View Item 
    •   Home
    • Massey University Departments
    • Institute of Natural and Mathematical Sciences
    • Research Letters in the Information and Mathematical Sciences
    • View Item
    •   Home
    • Massey University Departments
    • Institute of Natural and Mathematical Sciences
    • Research Letters in the Information and Mathematical Sciences
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Mathematical modelling of granulation: static and dynamic liquid bridges

    Icon
    View/Open Full Text
    Mathematical_Modelling_of_Granulation-Static_and_Dynamic_Liquid_Bridges.pdf (1.825Mb)
    Abstract
    Liquid bridges are important in a number of industrial applications, such as the granulation of pharmaceuticals, pesticides, and the creation of detergents and fine chemicals. This paper concerns a mathematical study of static and dynamic liquid bridges. For the static case, a new analytical solution to theYoung-Laplace equation is obtained, in which the true shape of the liquid bridge surface is able to be written in terms of known mathematical functions. The phase portrait of the differential equation governing the bridge shape is then examined. For the dynamic case of colliding spheres, the motion of the bridge is derived from mass conservation and the Navier-Stokes equations. The bridge surface is approximated as a cylinder and the solution is valid for low Reynolds number (Re 1). As the spheres approach, their motion is shown to be damped by the viscosity of the liquid bridge.
    Citation
    Rynhart, P. (2002), Mathematical modelling of granulation: static and dynamic liquid bridges, Research Letters in the Information and Mathematical Sciences, 3, 199-212
    Date
    2002
    Author
    Rynhart, Patrick
    Publisher
    Massey University
    URI
    http://hdl.handle.net/10179/4368
    Collections
    • Research Letters in the Information and Mathematical Sciences
    Metadata
    Show full item record

    Copyright © Massey University
    | Contact Us | Feedback | Copyright Take Down Request | Massey University Privacy Statement
    DSpace software copyright © Duraspace
    v5.7-2020.1-beta1
     

     

    Tweets by @Massey_Research
    Information PagesContent PolicyDepositing content to MROCopyright and Access InformationDeposit LicenseDeposit License SummaryTheses FAQFile FormatsDoctoral Thesis Deposit

    Browse

    All of MROCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    LoginRegister

    Statistics

    View Usage Statistics

    Copyright © Massey University
    | Contact Us | Feedback | Copyright Take Down Request | Massey University Privacy Statement
    DSpace software copyright © Duraspace
    v5.7-2020.1-beta1