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Implicit differential equation arising in the steady flow of a Sisko fluid. (English) Zbl 1160.76002
Summary: Consideration is given to the thin film flow of a Sisko fluid on a moving belt. Using the implicit function theorem, an existence result for the solution of the resulting nonlinear differential equation is established. Also, the homotopy analysis method is used to obtain approximate analytical solution of the problem for non-integer values of the power index. The numerical results are presented graphically, and the salient features of the solution are discussed for various values of power index parameter. The results obtained reveal many interesting behaviors that warrant further study of the equations related to non-Newtonian fluid phenomena, especially the shear-thinning phenomena. Shear thinning reduces the wall shear stress.

##### MSC:
 76A05 Non-Newtonian fluids
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##### References:
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