We investigate unsteady flow of a thin film of Newtonian fluid around a symmetric slender dry patch moving with constant velocity on an inclined planar substrate, the flow being driven by a prescribed constant shear stress at the free surface of the film (which would be of uniform thickness in the absence of the dry patch). We obtain a novel unsteady travelling-wave similarity solution which predicts that the dry patch has a parabolic shape and that the film thickness increases monotonically away from the dry patch.
|Number of pages||6|
|Publication status||Published - 2013|
|Event||Proceedings of the 19th National Symposium on Science and Mathematics (Prosiding Simposium Kebangsaan Sains Matematik Ke 19, SKSM 19), 9th--11th November 2011, Universiti Teknologi Mara Pulau Pinang, Malaysia. - , Malaysia|
Duration: 9 Nov 2011 → 11 Nov 2011
- thin-film flow
- similarity solutions
- dry patch