Analysis of magnetized micropolar fluid subjected to generalized heat-mass transfer theories

Author:

Li Yijie1,Anwar Muhammad Imran234,Katbar Nek Muhammad56,Prakash M.7,Saqlain Muhammad2,Waqas Muhammad89,Wahab Abdul4,Jamshed Wasim10,Eid Mohamed R.1112,Hassan Ahmed M.13

Affiliation:

1. School of Computer Science, University of St Andrews , St Andrews KY16 9SX , United Kingdom

2. Department of Mathematics, University of Sargodha , Sargodha , Pakistan

3. Higher Education Department , Lahore , Pakistan

4. Department of Mathematics, School of Sciences and Humanities, Nazarbayev University , Astana , Kazakhstan

5. School of Mathematics and Statistics, Central South University , Changsha , 410083 , China

6. Mehran UET Shaheed Zulfiqar Ali Bhutto Campus Khairpur , Khairpur , Pakistan

7. Department of Mathematics, KPR Institute of Engineering and Technology , Coimbatore , Tamil Nadu , 641407 , India

8. NUTECH School of Applied Sciences and Humanities, National University of Technology , Islamabad , Pakistan

9. Department of Mechanical Engineering, Lebanese American University , Beirut , Lebanon

10. Department of Mathematics, Capital University of Science and Technology (CUST) , Islamabad , 44000 , Pakistan

11. Department of Mathematics, Faculty of Science, New Valley University, Al-Kharga , Al-Wadi Al-Gadid , 72511 Egypt

12. Finance and Insurance Department, College of Business Administration, Northern Border University , Arar , 1321 , Saudi Arabia

13. Center of Research, Faculty of Engineering, Future University in Egypt New Cairo , New Cairo , 11835 , Egypt

Abstract

Abstract In this study, the steady 2D flow of micropolar fluid via a vertical surface is taken into account. The magnetohydrodynamics applied normally to the flow direction at a vertical surface in the presence of temperature-dependent attributes. The effect of the chemical reaction under the generalized Fourier–Fick law is considered to investigate the heat transference rate at the vertical sheet. Under the flow assumptions, the boundary layer approximations were applied to the nonlinear differential equations and partial differential equations were obtained. The use of similarity modifications allows for a reduction in the number of partial differential equations. The resulting ordinary differential equations are then resolved numerically using a technique known as the homotopy analysis method. The results reveal that microparticle suspensions have a significant impact on the flowing domain when varied fluid characteristics are utilized. The effect of potential factors on flow, micro-rotation velocities, temperature, drag force factor, and heat transport rate is investigated. The obtained results show that the velocity profile and micropolar function increase for larger values of micropolar parameters. Drag force effects are also seen, and required outcomes are observed to be in outstanding accord with the available literature. Significant results of this work were toward the velocity function, which gets reduced with increasing magnetic field parameter values, but the velocity function enhances for higher values of β \beta and λ \lambda . On temperature distribution, it decreased for higher values of ϵ 1 {{\epsilon }}_{1} and temperature profile declines due to higher values of Pr \text{Pr} , γ 2 {\gamma }_{2} and γ 1 {\gamma }_{1} or both cases of δ > 0 \delta \gt 0 and δ < 0 \delta \lt 0 . The higher values of Sc \text{Sc} resist declining the temperature function at the surface.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

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