Analytical solution of non-Newtonian Williamson fluid under the effect of magnetohydrodynamics

被引:3
作者
Shaheen, Aqila [1 ]
Muhammad Hussain, Saira [1 ]
Ghazwani, Hassan Ali [2 ]
Huma, Zile [1 ]
Siddique, Imran [3 ]
机构
[1] Minhaj Univ Lahore, Dept Math, Lahore, Pakistan
[2] Jazan Univ, Fac Engn, Dept Mech Engn, PO Box 45124, Jazan 45124, Saudi Arabia
[3] Univ Management & Technol, Dept Math, Lahore 54770, Pakistan
来源
MODERN PHYSICS LETTERS B | 2024年 / 38卷 / 13期
关键词
Williamson fluid; non-Newtonian; analytical solution; inclined tube; homotopy perturbation method; TEMPERATURE-DEPENDENT VISCOSITY; INDUCED MAGNETIC-FIELD; PERISTALTIC TRANSPORT; HEAT-TRANSFER; NANOFLUID; FLOW; ANNULUS; WAVE; CONVECTION; RADIATION;
D O I
10.1142/S0217984924501033
中图分类号
O59 [应用物理学];
学科分类号
摘要
In this paper, inscribed non-Newtonian Williamson fluid relaxation and contraction phenomena due to the effect of magnetohydrodynamics (MHD) is taken into account. This issue is modeled, and precise solutions are handled using a low Reynolds number and long wavelength approximation. Graphical depiction of the consequences of various parameters on temperature and velocity are provided. It becomes clear that the temperature reactions to increases in Biot numbers are decreased. Considering a cylindrical coordinate system, the impact of various physical parameters on the temperature distribution, velocity, the pressure gradient, and frictional force are secured from the flow for non-Newtonian Williamson fluid exposed from MATLAB. Additionally, it has been discovered that the velocity profile at the tube's center increases for shear-thinning a fluid and decreases for thickening a fluid. Furthermore, the peristaltic walls show the opposite behavior.
引用
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页数:17
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