Picture of smart phone in human hand

World leading smartphone and mobile technology research at Strathclyde...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by Strathclyde researchers from the Department of Computer & Information Sciences involved in researching exciting new applications for mobile and smartphone technology. But the transformative application of mobile technologies is also the focus of research within disciplines as diverse as Electronic & Electrical Engineering, Marketing, Human Resource Management and Biomedical Enginering, among others.

Explore Strathclyde's Open Access research on smartphone technology now...

The non-isothermal spreading of a thin drop on a heated or cooled horizontal substrate

Dunn, Gavin (2005) The non-isothermal spreading of a thin drop on a heated or cooled horizontal substrate. In: Edinburgh Mathematical Society Postgraduate Students' Meeting, 2005-05-10 - 2005-05-12. (In Press)

[img]
Preview
PDF (strathprints002261.pdf)
strathprints002261.pdf

Download (106kB) | Preview

Abstract

We revisit the spreading of a thin drop of incompressible Newtonian fluid on a uniformly heated or cooled smooth planar surface. The dynamics of the moving contact line are modelled by a Tanner Law relating the contact angle to the speed of the contact line. The present work builds on an earlier theoretical investigation by Ehrhard and Davis (JFM, 229,365{388 (1991)) who derived the non-linear partial differential equation governing the evolution of the drop. The (implicit) exact solution to the two-dimensional version of this equation in the limit of quasi-steady motion is obtained. Numerically calculated and asymptotic solutions are presented and compared. In particular, multiple solutions are found for a drop hanging beneath a suffciently cooled substrate. If time permits, some basic models for evaporative spreading will be considered.