Mathematical modelling of granulation: static and dynamic liquid bridges

dc.contributor.author	Rynhart, Patrick
dc.date.accessioned	2013-05-08T04:50:31Z
dc.date.available	2013-05-08T04:50:31Z
dc.date.issued	2002
dc.description.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.	en
dc.identifier.citation	Rynhart, P. (2002), Mathematical modelling of granulation: static and dynamic liquid bridges, Research Letters in the Information and Mathematical Sciences, 3, 199-212	en
dc.identifier.issn	1175-2777
dc.identifier.uri	http://hdl.handle.net/10179/4368
dc.language.iso	en	en
dc.publisher	Massey University	en
dc.subject	Liquid bridges	en
dc.title	Mathematical modelling of granulation: static and dynamic liquid bridges	en
dc.type	Article	en

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