Author:
Siddique Imran,Nadeem Muhammad,Khan Ilyas,Jamil Raja Noshad,Shamseldin Mohamed A.,Akgül Ali
Abstract
AbstractIn an uncertain atmosphere, the magnetohydrodynamics (MHD) flow in three principal flows of the third grade fluid across two parallel plates is presented. Fuzzy differential equations are constructed by manipulating dimensionless differential equations. The prime purpose of the current article is to use a semi-analytical approach fuzzy-based Adomian decomposition method to achieve numerical results for nonlinear FDEs with fuzzy boundary conditions. Triangular fuzzy numbers are used in fuzzy BCs with help of $$\alpha {\text{-cut}}$$
α
-cut
approach. This strategy is linked to the membership function. In a graphic and tabular depiction, the effect of $$\alpha$$
α
and other constraints on fuzzy velocity profiles is explored. The current findings are in good agreement with their previous numerical and analytical results in a crisp environment.
Publisher
Springer Science and Business Media LLC
Reference42 articles.
1. Truesdell, C. & Noll, W. The Non-linear Field’s Theories of Mechanics 3rd edn. (Springer, 2004).
2. Rajagopal, K. R. On the stability of third grade fluids. Arch Mech. 32(6), 867–875 (1980).
3. Rajagopal, K. R. Thermodynamics and stability of fluids of third grade. Proc R Soc Lond A 339, 351–377 (1980).
4. Siddiqui, A. M., Mahmood, R. & Ghori, Q. K. Homotopy perturbation method for thin film flow of a third-grade fluid down an inclined plane. Chaos Solitons Fractals 35, 140–147 (2008).
5. Hayat, T., Ellahi, R. & Mahomed, F. M. Exact solutions for thin film flow of a third-grade fluid down an inclined plane. Chaos Solitons Fractals 38, 1336–1341 (2008).
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