Flow investigation of second grade micropolar nanofluid with porous medium over an exponentially stretching sheet

Aamir Abbas Khan; Muhammad Naveed Khan; Nandalur Ameer Ahammad; Muhammad Ashraf; Kamel Guedri; Ahmed M Galal

doi:10.1177/22808000221089782

Flow investigation of second grade micropolar nanofluid with porous medium over an exponentially stretching sheet

J Appl Biomater Funct Mater. 2022 Jan-Dec:20:22808000221089782. doi: 10.1177/22808000221089782.

Authors

Aamir Abbas Khan¹, Muhammad Naveed Khan², Nandalur Ameer Ahammad³, Muhammad Ashraf¹, Kamel Guedri⁴, Ahmed M Galal^{5

6}

Affiliations

¹ Department of Mathematics, University of Sargodha, Sargodha, Pakistan.
² Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan.
³ Computational & Analytical Mathematics and Their Applications Research Group, Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia.
⁴ Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, Makkah, Saudi Arabia.
⁵ Mechanical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi addawaser, Saudi Arabia.
⁶ Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, Mansoura, Egypt.

PMID: 35459418
DOI: 10.1177/22808000221089782

Abstract

This article mainly focuses on the influence of heat and mass transportation of micropolar second grade nanofluid toward porous medium of an exponentially stretched surface. The significance of activation energy and viscous dissipation with magnetic effect are taken into deliberated. Furthermore, to analyze the heat and mass transport scrutiny the concentration and thermal slip boundary conditions are assessed on the surface of the sheet. The convenient similarity variables are adopted to transfer the non-linear governing PDEs into the dimensionless ODEs and their corresponding boundary conditions also transformed. The nonlinear coupled ODEs are numerically solved by the usage of BVP4C MATLAB technique. The obtained numerical estimations are displayed graphically to display the significance of the various parameters against the velocity, temperature, microrotation, concentration distributions. It is noticed that larger estimations of micropolar and second grade parameter improves the fluid velocity consequently, while opposite trend is found for the higher estimation of porous medium parameter. Further, it is observed that the skin friction rate is boosted by the increment of $ε$ and $β$ , whereas opposite trend is noted against the mass transfer rate and heat transfer rate.

Keywords: Second grade micropolar nanofluid; activation energy; exponential stretching sheet; porous medium; slip boundary conditions.

MeSH terms

Hot Temperature*
Magnetics*
Porosity
Temperature
Viscosity