(1) Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, 14778, Iran;(2) Department of Mathematics, Imam Khomeini International University, Ghazvin, 34194, Iran
Abstract:
An exact solution for the thin film flow of a third-grade fluid on an inclined plane is presented. This is a corrected version of the solution obtained by Hayat et al. (Chaos Solitons Fractals 38:1336–1341, 2008). An alternative parametric form for the solution is also derived. The variation of the dimensionless velocity and average velocity is given for a wide range of parameter values. An asymptotic solution for large parameter values is obtained giving rise to a boundary-layer structure at the free surface.
