Analysis of fuzzified boundary value problems for MHD Couette and Poiseuille flow

被引：12

作者：

Siddique, Imran ^{[1
]}

Nadeem, Muhammad ^{[1
]}

Khan, Ilyas ^{[2
]}

Jamil, Raja Noshad ^{[1
]}

Shamseldin, Mohamed A. ^{[3
]}

Akgul, Ali ^{[4
]}

机构：

[1] Univ Management & Technol, Dept Math, Lahore 54770, Pakistan

[2] Majmaah Univ, Coll Sci Al Zulfi, Dept Math, Al Majmaah 11952, Saudi Arabia

[3] Future Univ Egypt, Fac Engn & Technol, Dept Mech Engn, New Cairo 11845, Egypt

[4] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkey

来源：

SCIENTIFIC REPORTS | 2022年 / 12卷 / 01期

关键词：

THIN-FILM FLOW; 3RD-GRADE FLUID; FUZZY; STABILITY;

D O I：

10.1038/s41598-022-12110-x

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In 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-cut approach. This strategy is linked to the membership function. In a graphic and tabular depiction, the effect of a 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.

引用

页数：28

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