Nonlinear Thermal Diffusion and Radiative Stagnation Point Flow of Nanofluid with Viscous Dissipation and Slip Constrains: Keller Box Framework Applications to Micromachines

Omar T Bafakeeh; Bilal Ahmad; Skeena Noor; Tasawar Abbas; Sami Ullah Khan; Muhammad Ijaz Khan; Samia Elattar; Sayed M Eldin; Mowffaq Oreijah; Kamel Guedri

doi:10.3390/mi13111839

Nonlinear Thermal Diffusion and Radiative Stagnation Point Flow of Nanofluid with Viscous Dissipation and Slip Constrains: Keller Box Framework Applications to Micromachines

Micromachines (Basel). 2022 Oct 27;13(11):1839. doi: 10.3390/mi13111839.

Authors

Omar T Bafakeeh¹, Bilal Ahmad², Skeena Noor², Tasawar Abbas², Sami Ullah Khan³, Muhammad Ijaz Khan^{4

5}, Samia Elattar⁶, Sayed M Eldin⁷, Mowffaq Oreijah⁸, Kamel Guedri^{8

9}

Affiliations

¹ Department of Industrial Engineering, Jazan University, Jazan 82822, Saudi Arabia.
² Department of Mathematics, University of Wah, Wah Cantt 47040, Pakistan.
³ Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan.
⁴ Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan.
⁵ Department of Mechanical Engineering, Lebanese American University, Beirut 1102, Lebanon.
⁶ Department of Industrial & Systems Engineering, College of Engineering, Princes Nourah, Bint Abdulrahman University, Riyadh 11671, Saudi Arabia.
⁷ Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, Egypt.
⁸ Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, Makkah 21955, Saudi Arabia.
⁹ Research Unity: Materials, Energy and Renewable Energies, Faculty of Science of Gafsa, University of Gafsa, Gafsa 2100, Tunisia.

Abstract

The radiated flow of magnetized viscous fluid subject to the viscous dissipation phenomenon is numerically studied. The radiative phenomenon is addressed with nonlinear relations. Further, analysis is performed by using the slip effects and convective thermal flow constraints. The transformed problem is numerically evaluated using the Keller Box method. The physical parameter effects, such as the magnetic parameter for the velocity profile, Prandtl number, Brownian motion parameter and Biot number for the energy profile and Lewis number, and the thermophoresis parameter for the concentration profile are discussed. The obtained results suggest applications in enhancing the heat transfer phenomenon, thermal system, energy generation, heat transmission devices, power generation, chemical reactions, etc.

Keywords: nanofluid; porous medium; stagnation point flow; thermal flow; thermal radiation; viscous dissipation.

Grants and funding

The authors would like to thank the Deanship of Scientific Research at Umm Al-Qura University for supporting this work by Grant Code: 22UQU4340474DSR15. Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2022R163), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.