Research Letters in the Information and Mathematical Sciences

Permanent URI for this collectionhttps://mro.massey.ac.nz/handle/10179/4332

Research Letters welcomes papers from staff and graduate students at Massey University in the areas of: Computer Science, Information Science, Mathematics, Statistics and the Physical and Engineering Sciences. Research letters is a preprint series that accepts articles of completed research work, technical reports, or preliminary results from ongoing research. After editing, articles are published online and can be referenced, or handed out at conferences. Copyright remains with the authors and the articles can be used as preprints to academic journal publications or handed out at conferences. Editors Dr Elena Calude Dr Napoleon Reyes The guidelines for writing a manuscript can be accessed here.

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Subject: search.filters.subject.Liquid bridges

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    Solution of the Young-Laplace equation for three particles
    (Massey University, 2003) Rynhart, P.R.; McLachlan, R.; Jones, J.R.; McKibbin, R.
    This paper presents the solution to the liquid bridge profile formed between three equally sized spherical primary particles. The particles are equally separated, with sphere centres located on the vertices of an equilateral triangle. Equations for the problem are derived and solved numerically for given constant mean curvature H0, contact angle , and inter-particle separation distance S. The binding force between particles is calculated and plotted as a function of liquid bridge volume for a particular example. Agreement with experiment is provided.
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    Mathematical modelling of granulation: static and dynamic liquid bridges
    (Massey University, 2002) Rynhart, Patrick
    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.