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The optimization of heat transfer in thermally convective micropolar-based nanofluid flow by the influence of nanoparticle’s diameter and nanolayer via stretching sheet: sensitivity analysis approach

  • Liaqat Ali EMAIL logo , Pardeep Kumar , Zahoor Iqbal , Sharifah E. Alhazmi , Sujesh Areekara ORCID logo , M. M. Alqarni , Alphonsa Mathew and Retna Apsari EMAIL logo

Abstract

The proposed study demonstrates the flow phenomenon and thermo-variation of a magnetized stretching sheet induced-radiative nanofluid flow. By incorporating the response surface methodology, the heat transfer rate of the thermally convective flow of nanofluid is optimized. The graphene nanomaterial is used in the water-based nanofluid. A dynamic magnetic field, thermal radiation, and the Cattaneo–Christov heat flux model have used to represent the thermal behavior of the nanofluid. The simulation utilizes experimentally estimated values for the nanomaterial’s thermal conductivity and viscosity. To further reveal the thermal enhancement of the flow, the impact of nanoparticle diameter and the solid-liquid interfacial layer is proposed at the molecular level. The response surface methodology and the sensitivity analysis has used to examine the effects of the nanoparticle volume fraction, Biot number, and magnetic parameter on the rate of heat transfer statistically. A set of equations is formed from the governing partial differential equations by implementing suitable similarity transformations. The bvp4c approach is used to solve the problem numerically. The effect of various parameters has displayed through tables, graphs, and surface plots on heat transfer, mass transfer, and the local Nusselt number. It is discovered that as the Biot number increases, so does the concentration and temperature profile. An excellent accord between the present and previously existing solutions is establishing the validity of the achieved results.

2010 MSC: 00-01; 99-00

Corresponding authors: Liaqat Ali, School of Sciences, Xi’an Technological University, Xi’an, 710021, China; and Department of Engineering, Faculty of Advanced Technology and Multidiscipline, Universitas Airlangga, Surabaya 60115, Indonesia, E-mail: ; and Retna Apsari, Department of Engineering, Faculty of Advanced Technology and Multidiscipline, Universitas Airlangga, Surabaya 60115, Indonesia; and Department of Physics, Faculty of Science and Technology, Universitas Airlangga, Surabaya 60115, Indonesia, E-mail:

Funding source: Deanship of Scientific Research at King Khalid University

Award Identifier / Grant number: RGP.2/116/43

Funding source: Deanship of Scientific Research at Umm Al-Qura University

Award Identifier / Grant number: 22UQU4282396DSR32

Acknowledgment

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through Large Groups (Project under grant number (RGP.2/116/43)). The author Sharifah E. Alhazmi (sehazmi@uqu.edu.sa) would like to thank the Deanship of Scientific Research at Umm Al-Qura University for supporting this work by Grant code (22UQU4282396DSR32). The first author acknowledges with thanks the School of Sciences for their support at Xian Technological University, and the corresponding authors acknowledge with thanks Universitas Airlangga.

  1. Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2022-09-17
Accepted: 2023-01-09
Published Online: 2023-01-24
Published in Print: 2023-07-27

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