Insight into the heat transfer of third-grade micropolar fluid over an exponentially stretched surface

Kamel Guedri; N Ameer Ahammad; Sohail Nadeem; ElSayed M Tag-ElDin; Aziz Ullah Awan; Mansour F Yassen

doi:10.1038/s41598-022-19124-5

Insight into the heat transfer of third-grade micropolar fluid over an exponentially stretched surface

Sci Rep. 2022 Sep 16;12(1):15577. doi: 10.1038/s41598-022-19124-5.

Authors

Kamel Guedri¹, N Ameer Ahammad², Sohail Nadeem³, ElSayed M Tag-ElDin⁴, Aziz Ullah Awan⁵, Mansour F Yassen^{6

7}

Affiliations

¹ Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P.O. Box 5555, Makkah, 21955, Saudi Arabia.
² Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk, 71491, Saudi Arabia.
³ Department of Mathematics, Quaid-i-Azam University, Islamabad, 45320, Pakistan.
⁴ Faculty of Engineering and Technology, Future University in Egypt, New Cairo, 11835, Egypt.
⁵ Department of Mathematics, University of the Punjab, Lahore, 54590, Pakistan. aziz.math@pu.edu.pk.
⁶ Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam Bin Abdulaziz University, Al-Aflaj, 11912, Saudi Arabia.
⁷ Department of Mathematics, Faculty of Science, Damietta University, New Damietta, 34517, Damietta, Egypt.

Abstract

Due to their unique microstructures, micropolar fluids have attracted enormous attention for their industrial applications, including convective heat and mass transfer polymer production and rigid and random cooling particles of metallic sheets. The thermodynamical demonstration is an integral asset for anticipating the ideal softening of heat transfer. This is because there is a decent connection between mathematical and scientific heat transfers through thermodynamic anticipated outcomes. A model is developed under the micropolar stream of a non-Newtonian (3rd grade) liquid in light of specific presumptions. Such a model is dealt with by summoning likeness answers for administering conditions. The acquired arrangement of nonlinear conditions is mathematically settled using the fourth-fifth order Runge-Kutta-Fehlberg strategy. The outcomes of recognized boundaries on liquid streams are investigated in subtleties through the sketched realistic images. Actual amounts like Nusselt number, Sherwood number, and skin-part coefficient are explored mathematically by tables. It is observed that the velocity distribution boosts for larger values of any of [Formula: see text], [Formula: see text], and declines for larger [Formula: see text] and Hartmann numbers. Furthermore, the temperature distribution [Formula: see text] shows direct behavior with the radiation parameter and Eckert number, while, opposite behavior with Pr, and K. Moreover, the concentration distribution shows diminishing behavior as we put the higher value of the Brownian motion number.