Authors: Amir Karimdoost-Yasuri; Mohammad Passandideh-Fard
Addresses: Department of Mechanical Engineering, Ferdowsi University of Mashhad, Azadi Sq., P.O. Box 91775-1111, Mashhad, Iran ' Department of Mechanical Engineering, Ferdowsi University of Mashhad, Azadi Sq., P.O. Box 91775-1111, Mashhad, Iran
Abstract: The velocity of wetting a droplet on solid surface is a function of dynamic contact angle formed at a point on the contact line of solid and liquid phases. In this paper, the velocity of wetting obtained using the Arrhenius empirical equation is related to that of the dynamic contact angle. The resulting relationship, however, introduces two microscopic parameters, namely microscopic displacement frequency and length, which are not known as a priori and are usually obtained using a curve-fitting of the measured data. A general correlation for the microscopic displacement frequency which has a wide range of variations is developed that is only a function of the known values of a wetting process. This correlation is presented by improving the available correlation for the surface component of the specific activation free energy of a wetting process using a curve-fitting of a wide range of experimental data. The predicted values from the correlation are in good agreement with those of the reported experiments even when a rough estimate value for the microscopic displacement length is used.
Keywords: contact angles; contact line velocity; wetting process; Arrhenius empirical equation; droplets; solid surfaces; microscopic displacement frequency; microscopic displacement length.
International Journal of Surface Science and Engineering, 2013 Vol.7 No.3, pp.197 - 216
Received: 31 Jan 2012
Accepted: 12 Dec 2012
Published online: 02 Jul 2014 *