Experimental and TDDFT materials simulation of thermal characteristics and entropy optimized of Williamson Cu-methanol and Al2O3-methanol nanofluid flowing through solar collector

Wasim Jamshed; Mohamed R Eid; Ahmed F Al-Hossainy; Zehba Raizah; El Sayed M Tag El Din; Tanveer Sajid

doi:10.1038/s41598-022-23025-y

Experimental and TDDFT materials simulation of thermal characteristics and entropy optimized of Williamson Cu-methanol and Al₂O₃-methanol nanofluid flowing through solar collector

Sci Rep. 2022 Oct 28;12(1):18130. doi: 10.1038/s41598-022-23025-y.

Authors

Wasim Jamshed¹, Mohamed R Eid^{2

3}, Ahmed F Al-Hossainy⁴, Zehba Raizah⁵, El Sayed M Tag El Din⁶, Tanveer Sajid⁷

Affiliations

¹ Department of Mathematics, Capital University of Science and Technology (CUST), Islamabad, 44000, Pakistan. wasiktk@hotmail.com.
² Department of Mathematics, Faculty of Science, New Valley University, Al-Kharga, 72511, Al-Wadi Al-Gadid, Egypt.
³ Department of Mathematics, Faculty of Science, Northern Border University, Arar, 1321, Saudi Arabia.
⁴ Department of Chemistry, Faculty of Science, New Valley University, Al-Kharga, 72511, Al-Wadi Al-Gadid, Egypt.
⁵ Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia.
⁶ Electrical Engineering, Faculty of Engineering and Technology, Future University in Egypt, New Cairo, 11835, Egypt.
⁷ Department of Mathematics, Capital University of Science and Technology (CUST), Islamabad, 44000, Pakistan.

Abstract

Current investigation emphasizes the evaluation of entropy in a porous medium of Williamson nanofluid (WNF) flow past an exponentially extending horizontal plate featuring Parabolic Trough Solar Collector (PTSC). Two kinds of nanofluids such as copper-methanol (Cu-MeOH) and alumina-methanol (Al₂O₃-MeOH) were tested, discussed and plotted graphically. The fabricated nanoparticles are studied using different techniques, including TDDFT/DMOl³ method as simulated and SEM measurements as an experimental method. The centroid lengths of the dimer are 3.02 Å, 3.27 Å, and 2.49 Å for (Cu-MeOH), (Al₂O₃-MeOH), and (Cu-MeOH-αAl-MOH), respectively. Adequate similarity transformations were applied to convert the partial differential equation (PDEs) into nonlinear ordinary differential equations (ODEs) with the corresponding boundary constraints. An enhancement in Brinkmann and Reynolds numbers increases the overall system entropy. WNF parameter enhances the heat rate in PTSC. The thermal efficiency gets elevated for Cu-MeOH than that of Al₂O₃-MeOH among 0.8% at least and 6.6% in maximum for varying parametric values.