Flow investigation of the stagnation point flow of micropolar viscoelastic fluid with modified Fourier and Fick's law

Muhammad Naveed Khan; Aamir Abbas Khan; Zhentao Wang; Haifaa F Alrihieli; Sayed M Eldin; F M Aldosari; Ibrahim E Elseesy

doi:10.1038/s41598-023-36631-1

Flow investigation of the stagnation point flow of micropolar viscoelastic fluid with modified Fourier and Fick's law

Sci Rep. 2023 Jun 11;13(1):9491. doi: 10.1038/s41598-023-36631-1.

Authors

Muhammad Naveed Khan¹, Aamir Abbas Khan², Zhentao Wang³, Haifaa F Alrihieli⁴, Sayed M Eldin⁵, F M Aldosari⁶, Ibrahim E Elseesy⁷

Affiliations

¹ School of Energy and Power Engineering, Jiangsu University, Zhenjiang, 212013, China.
² Department of Mathematics, University of Sargodha, Sargodha, 40100, Pakistan.
³ School of Energy and Power Engineering, Jiangsu University, Zhenjiang, 212013, China. zhentao.wang@ujs.edu.cn.
⁴ Department of Mathematics, Faculty of Science, University of Tabuk, P.O.Box 741, Tabuk, 71491, Saudi Arabia.
⁵ Faculty of Engineering, Center of Research, Future University in Egypt, New Cairo, 11835, Egypt.
⁶ Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia.
⁷ Mechanical Engineering Department, College of Engineering, King Khalid University, Abha, 61421, Saudi Arabia.

Abstract

Non-Newtonian fluids are extensively employed in many different industries, such as the processing of plastics, the creation of electrical devices, lubricating flows, and the production of medical supplies. A theoretical analysis is conducted to examine the stagnation point flow of a 2nd-grade micropolar fluid into a porous material in the direction of a stretched surface under the magnetic field effect, which is stimulated by these applications. The stratification boundary conditions are imposed on the surface of the sheet. Generalized Fourier and Fick's laws with activation energy is also considered to discuss the heat and mass transportation. To obtain the dimensionless version of the flow modeled equations, an appropriate similarity variables are used. These transfer version of equations is solved numerically by the implement of the BVP4C technique on MATLAB. The graphical and numerical results are obtained for various emerging dimensionless parameters and discussed. It is noted that by the more accurate predictions of [Formula: see text] and M, the velocity sketch is decreased due to occurrence of resistance effect. Further, it is seen that larger estimation of micropolar parameter improves the angular velocity of the fluid.