ANALYTIC INVESTIGATION OF STEADY THIN FILM FLOW OF NON-NEWTONIAN FLUID ON VERTICAL CYLINDER FOR LIFTING AND DRAINAGE PROBLEMS

ANALYTIC INVESTIGATION OF STEADY THIN FILM FLOW OF NON-NEWTONIAN FLUID ON VERTICAL CYLINDER FOR LIFTING AND DRAINAGE PROBLEMS

H. R. Marasi, M. Daneshbastam, A. Alizadeh

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Abstract

The work addressed in this paper is the analytic investigation of the steady thin lm ow of non-Newtonian Johnson-Segalman uid on vertical cylinder for lifting and drainage problems. The arised equation in the mathematical modelling is a highly nonlinear rst order dierential equation. We use the analytical methods, homotopy analysis method and a modication of dierential transform method based on Adomian polynomials. Eects of important physical quantities on velocity eld are demonstrated graphically with comprehensive discussions.

Keywords

Numeric approximation, Eigenvalue problem, Dispersion curve.