Estimation of the shear stress parameter of a power-law fluid. (English) Zbl 1400.76009

Al-Ashhab, Samer S.; Alqahtani, Rubayyi T.

Math. Probl. Eng. 2016, Article ID 4729063, 4 p. (2016).

Summary: We apply the Adomian decomposition method to a power-law problem for solutions that do not change the sign of curvature. In particular we consider solutions with positive curvature. The power series obtained via the Adomian decomposition method is used to estimate the shear stress parameter as well as the instant of time where the solution reaches its terminal point of a steady state. We compare our results with estimates obtained via numerical integrators. More importantly we illustrate that the error is predictable and can be reduced without further effort or using higher order terms in the approximating series.

MSC:

76A05	Non-Newtonian fluids
34B40	Boundary value problems on infinite intervals for ordinary differential equations
76M25	Other numerical methods (fluid mechanics) (MSC2010)

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