Thin film flow of non-Newtonian fluids on a vertical moving belt using

Abstract

In this study, the problem of thin film flow of two non-Newtonian fluids namely, a Sisko fluid and an Oldroyd 6-constantfluid on a vertical moving belt that modeled by a system of nonlinear differential equations is studied. The system is solvedusing the Homotopy Analysis Method (HAM), which yields an analytic solution in the form of a rapidly convergent infiniteseries with easily computable terms. Homotopy analysis method contains the auxiliary parameter , which provides us witha simple way to adjust and control the convergence region of solution series. By suitable choice of the auxiliary parameter, reasonable solutions for large modulus can be obtained.

Keywords

• thin film
• non-Newtonian fluids
• HAM