TY - JOUR
T1 - Thin film flow over spinning discs: The effect of surface topography and flow rate modulation
AU - Matar, O
AU - Sisoev, Grigory
AU - Lawrence, C
PY - 2008/4/1
Y1 - 2008/4/1
N2 - We examine the effect of disc topography and time modulation of the liquid flow rate at the inlet on the dynamics of a thin film flowing over a spinning disc. We use a combination of boundary-layer theory and the Karman-Polhausen approximation to derive coupled equations for the film thickness, and radial and azimuthal flow rates. Substrate patterning is taken into account in the limit of small-amplitude topography. Our numerical results indicate that the combined effects of flow rate modulation at the inlet and disc patterning can lead to a significant increase in interfacial waviness, which greatly exceeds that associated with the constant flow rate, smooth disc case. (C) 2008 Elsevier Ltd. All rights reserved.
AB - We examine the effect of disc topography and time modulation of the liquid flow rate at the inlet on the dynamics of a thin film flowing over a spinning disc. We use a combination of boundary-layer theory and the Karman-Polhausen approximation to derive coupled equations for the film thickness, and radial and azimuthal flow rates. Substrate patterning is taken into account in the limit of small-amplitude topography. Our numerical results indicate that the combined effects of flow rate modulation at the inlet and disc patterning can lead to a significant increase in interfacial waviness, which greatly exceeds that associated with the constant flow rate, smooth disc case. (C) 2008 Elsevier Ltd. All rights reserved.
U2 - 10.1016/j.ces.2008.01.033
DO - 10.1016/j.ces.2008.01.033
M3 - Article
SN - 1873-4405
VL - 63
SP - 2225
EP - 2232
JO - Chemical Engineering Science
JF - Chemical Engineering Science
IS - 8
ER -