Numerical Investigation of Darcy-Forchheimer Hybrid Nanofluid Flow with Energy Transfer over a Spinning Fluctuating Disk under the Influence of Chemical Reaction and Heat Source

Muhammad Riaz Khan; Aisha M Alqahtani; Sharifah E Alhazmi; Mohamed Abdelghany Elkotb; Maawiya Ould Sidi; Haifaa F Alrihieli; Elsayed Tag-Eldin; Mansour F Yassen

doi:10.3390/mi14010048

Numerical Investigation of Darcy-Forchheimer Hybrid Nanofluid Flow with Energy Transfer over a Spinning Fluctuating Disk under the Influence of Chemical Reaction and Heat Source

Micromachines (Basel). 2022 Dec 25;14(1):48. doi: 10.3390/mi14010048.

Authors

Muhammad Riaz Khan¹, Aisha M Alqahtani², Sharifah E Alhazmi³, Mohamed Abdelghany Elkotb^{4

5}, Maawiya Ould Sidi⁶, Haifaa F Alrihieli⁷, Elsayed Tag-Eldin⁸, Mansour F Yassen^{9

10}

Affiliations

¹ Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan.
² Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi Arabia.
³ Mathematics Department, Al-Qunfudah University College, Umm Al-Qura University, Mecca 21955, Saudi Arabia.
⁴ Mechanical Engineering Department, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia.
⁵ Mechanical Engineering Department, College of Engineering, Kafrelsheikh University, Kafr Elsheikh 33516, Egypt.
⁶ RT-M2A Laboratory, Mathematics Department, College of Science, Jouf University, P.O. Box 2014, Sakaka 42421, Saudi Arabia.
⁷ Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi Arabia.
⁸ Faculty of Engineering and Technology, Future University in Egypt, New Cairo 11835, Egypt.
⁹ Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam Bin Abdulaziz University, Al-Aflaj 11912, Saudi Arabia.
¹⁰ Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt.

Abstract

The present computational model is built to analyze the energy and mass transition rate through a copper and cobalt ferrite water-based hybrid nanofluid (hnf) flow caused by the fluctuating wavy spinning disk. Cobalt ferrite (CoFe₂O₄) and copper (Cu) nanoparticles (nps) are incredibly renowned in engineering and technological research due to their vast potential applications in nano/microscale structures, devices, materials, and systems related to micro- and nanotechnology. The flow mechanism has been formulated in the form of a nonlinear set of PDEs. That set of PDEs has been further reduced to the system of ODEs through resemblance replacements and computationally solved through the parametric continuation method. The outcomes are verified with the Matlab program bvp4c, for accuracy purposes. The statistical outputs and graphical evaluation of physical factors versus velocity, energy, and mass outlines are given through tables and figures. The configuration of a circulating disk affects the energy transformation and velocity distribution desirably. In comparison to a uniform interface, the uneven spinning surface augments energy communication by up to 15%. The addition of nanostructured materials (cobalt ferrite and copper) dramatically improves the solvent physiochemical characteristics. Furthermore, the upward and downward oscillation of the rotating disc also enhances the velocity and energy distribution.

Keywords: MHD; PCM; chemical reaction; heat source; hybrid nanofluid; wavy fluctuating disk.

Grants and funding

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University, Abha, Saudi Arabia, for funding this work through the Research Group Program under grant no. RGP. 2/19/43. The authors would like to thank the Deanship of Scientific Research at Umm Al-Qura University for supporting this work by Grant Code: (22UQU4282396DSR28). Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2022R52), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.