Open Access

ARTICLE

Novel Analytical Thermal Performance Rate Analysis in ZnO-SAE50 Nanolubricant: Nonlinear Mathematical Model

Adnan¹, Umar Khan², Naveed Ahmed³, Syed Tauseef Mohyud-Din⁴, Ilyas Khan^5,*, El-Sayed M. Sherif^6,7

1 Department of Mathematics, Mohi-ud-Din Islamic University, Nerian Sharif, AJ&K, 12080, Pakistan
2 Department of Mathematics and Statistics, Hazara University, Mansehra, 21120, Pakistan
3 Department of Mathematics, HITEC University, Taxila, Cantt, 47070, Pakistan
4 University of Multan, Multan, 66000, Pakistan
5 Department of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, 72915, Vietnam
6 Department of Mechanical Engineering, College of Engineering, King Saud University, Al-Riyadh, 11421, Saudi Arabia
7 Department of Physical Chemistry, Electrochemistry and Corrosion Laboratory, National Research Centre, Cairo, 12622, Egypt

* Corresponding Author: Ilyas Khan. Email:

Computers, Materials & Continua 2021, 67(1), 477-489. https://doi.org/10.32604/cmc.2021.012739

Received 11 July 2020; Accepted 30 August 2020; Issue published 12 January 2021

Abstract

The investigation of local thermal transport rate in the nanolubricants is significant. These lubricants are broadly used in environmental pollution, mechanical engineering and in the paint industry due to high thermal performance rate. Therefore, thermal transport in ZnO-SAE50 nanolubricant under the impacts of heat generation/absorption is conducted. The colloidal suspension is flowing between parallel stretching disks in which the lower disk is positioned at z = 0 and upper disk apart from distance d. The problem is transformed in dimensionless version via described similarity transforms. In the next stage, an analytical technique (VPM) is implemented for the solution purpose. The graphical results against multiple flow parameters were furnished over the region of interest and explained comprehensively. It is imperative to mention that the results are plotted for ZnO-SAE50 and conventional liquid as well. Further, rapid motion of the fluid is perceived against high Reynolds and γ parameters. The wall shear stresses at the upper end rises for multiple Reynolds and γ while; decrement is detected at the lower end. The significant contribution of an internal heat source is noted for thermal performance rate at the upper end. Foremost, the local heat transport rate declines at the lower disk. By altering Reynolds number, prompt heat transfer rate is gained at the upper disk and increasing behavior of the local heat transport rate is slow at the lower disk. From the study, it is concluded that the nanolubricants have high thermal characteristics. Therefore, such fluids are reliable to use in above stated areas.

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