Solution of the steady thin film flow of non-Newtonian fluid on vertical cylinder using Adomian decomposition method. (English) Zbl 1452.76022
Summary: In this paper, the steady thin film flow on the outer surface of long vertical cylinder of non-Newtonian Johnson-Segalman fluid for lifting and drainage problems have been investigated. Adomian decomposition (ADM) and numerical methods are applied for the solutions of the nonlinear problems. Expressions for the velocity field and average velocity have been derived for both the problems, respectively. For Weissenberg number \(W_e=0\), we retrieve Newtonian cases for both the problems. We also obtain the results for Maxwell fluid by taking slip parameter \(a=1\). We also discussed the effect of the Stokes number \(S_t\), the Weissenberg number \(W_e\), the ratio of viscosities \(\phi\) and the slip parameter \(a\) on the fluid flows.
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