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ARTICLE

Stability Scrutinization of Agrawal Axisymmetric Flow of Nanofluid through a Permeable Moving Disk Due to Renewable Solar Radiation with Smoluchowski Temperature and Maxwell Velocity Slip Boundary Conditions

Umair Khan^1,2, Aurang Zaib³, Anuar Ishak¹, Iskandar Waini⁴, El-Sayed M. Sherif⁵, Dumitru Baleanu^6,7,8,*

1 Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, 43600, Malaysia
2 Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur, 65200, Pakistan
3 Department of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, Karachi, 75300, Pakistan
4 Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Melaka, 76100, Malaysia
5 Mechanical Engineering Department, College of Engineering, King Saud University, Riyadh, 11423, Saudi Arabia
6 Department of Mathematics, Cankaya University, Ankara, 06790, Turkey
7 Institute of Space Sciences, Magurele, 077125, Romania
8 Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40447, Taiwan

* Corresponding Author: Dumitru Baleanu. Email:

(This article belongs to the Special Issue: Advanced Computational Methods in Fluid Mechanics and Heat Transfer)

Computer Modeling in Engineering & Sciences 2023, 134(2), 1371-1392. https://doi.org/10.32604/cmes.2022.020911

Received 19 December 2021; Accepted 13 April 2022; Issue published 31 August 2022

Abstract

The utilization of solar energy is essential to all living things since the beginning of time. In addition to being a constant source of energy, solar energy (SE) can also be used to generate heat and electricity. Recent technology enables to convert the solar energy into electricity by using thermal solar heat. Solar energy is perhaps the most easily accessible and plentiful source of sustainable energy. Copper-based nanofluid has been considered as a method to improve solar collector performance by absorbing incoming solar energy directly. The goal of this research is to explore theoretically the Agrawal axisymmetric flow induced by Cu-water nanofluid over a moving permeable disk caused by solar energy. Moreover, the impacts of Maxwell velocity and Smoluchowski temperature slip are incorporated to discuss the fine points of nanofluid flow and characteristics of heat transfer. The primary partial differential equations are transformed to similarity equations by employing similarity variables and then utilizing bvp4c to resolve the set of equations numerically. The current numerical approach can produce double solutions by providing suitable initial guesses. In addition, the results revealed that the impact of solar collector efficiency enhances significantly due to nanoparticle volume fraction. The suction parameter delays the boundary layer separation. Moreover, stability analysis is performed and is found that the upper solution is stable and physically trustworthy while the lower one is unstable.

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