Study of Third-Grade Fluid under the Fuzzy Environment with Couette and Poiseuille Flows

Muhammad Nadeem; Imran Siddique; Rifaqat AliNawa AlshammariRaja Noshad JamilNawaf HamadnehIlyas KhanMulugeta AndualemArunava Majumder

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Study of Third-Grade Fluid under the Fuzzy Environment with Couette and Poiseuille Flows

机译：Study of Third-Grade Fluid under the Fuzzy Environment with Couette and Poiseuille Flows

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In this work, fundamental ?ow problems, namely, Couette flow, fully developed plane Poiseuille flow, and plane Couette–Poiseuille flow of a third-grade non-Newtonian ?uid between two horizontal parallel plates separated by a finite distance in a fuzzy environment are considered. The governing nonlinear differential equations (DEs) are converted into fuzzy differential equations (FDEs) and explain our approach with the help of the membership function (MF) of triangular fuzzy numbers (TFNs). Adomian decomposition method (ADM) is used to solve fundamental ?ow problems based on FDEs. In a crisp environment, the current findings are in good accord with their previous numerical and analytical results. Finally, the effect of the α-cut α∈0,1 and other engineering constants on fuzzy velocity pro?le are invested in graphically and tabular forms. Also, the variability of the uncertainty is studied through the triangular MF.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2022年第2期|1.1-1.19|共19页
作者
Muhammad Nadeem; Imran Siddique; Rifaqat AliNawa AlshammariRaja Noshad JamilNawaf HamadnehIlyas KhanMulugeta AndualemArunava Majumder;
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Department of Mathematics University of Management and Technology Lahore 54770;

Department of Mathematics College of Science and Arts King Khalid University Muhayil Abha 61413;

Department of Basic Sciences College of Science and Theoretical Studies Saudi Electronic University Riyadh 11673Department of Mathematics College of Science Al-Zulfi Majmaah University Al Majma’ah 11952Department of Mathematics Bonga University Bonga;

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Study of Third-Grade Fluid under the Fuzzy Environment with Couette and Poiseuille Flows

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