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Article

Dynamics of Tri-Hybrid Nanoparticles in the Rheology of Pseudo-Plastic Liquid with Dufour and Soret Effects

1
College of Mathematics, Huaibei Normal University, Huaibei 235000, China
2
Department of Mathematics, Nanchang Institute of Technology, Nanchang 330044, China
3
College of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou 221018, China
4
Department of Applied Mathematics and Statistics, Institute of Space Technology, P.O. Box 2750, Islamabad 44000, Pakistan
5
Renewable Energy Research Centre, Department of Teacher Training in Electrical Engineering, Faculty of Technical Education, King Mongkut’s University of Technology North Bangkok, 1518 Pracharat 1 Road, Bangsue, Bangkok 10800, Thailand
*
Author to whom correspondence should be addressed.
Micromachines 2022, 13(2), 201; https://doi.org/10.3390/mi13020201
Submission received: 15 January 2022 / Revised: 23 January 2022 / Accepted: 25 January 2022 / Published: 27 January 2022
(This article belongs to the Special Issue Non-Newtonian Microfluidics)

Abstract

The rheology of different materials at the micro and macro levels is an area of great interest to many researchers, due to its important physical significance. Past experimental studies have proved the efficiency of the utilization of nanoparticles in different mechanisms for the purpose of boosting the heat transportation rate. The purpose of this study is to investigate heat and mass transport in a pseudo-plastic model past over a stretched porous surface in the presence of the Soret and Dufour effects. The involvement of tri-hybrid nanoparticles was incorporated into the pseudo-plastic model to enhance the heat transfer rate, and the transport problem of thermal energy and solute mechanisms was modelled considering the heat generation/absorption and the chemical reaction. Furthermore, traditional Fourier and Fick’s laws were engaged in the thermal and solute transportation. The physical model was developed upon Cartesian coordinates, and boundary layer theory was utilized in the simplification of the modelled problem, which appears in the form of coupled partial differential equations systems (PDEs). The modelled PDEs were transformed into corresponding ordinary differential equations systems (ODEs) by engaging the appropriate similarity transformation, and the converted ODEs were solved numerically via a Finite Element Procedure (FEP). The obtained solution was plotted against numerous emerging parameters. In addition, a grid independent survey is presented. We recorded that the temperature of the tri-hybrid nanoparticles was significantly higher than the fluid temperature. Augmenting the values of the Dufour number had a similar comportment on the fluid temperature and concentration. The fluid temperature increased against a higher estimation of the heat generation parameter and the Eckert numbers. The impacts of the buoyancy force parameter and the porosity parameter were quite opposite on the fluid velocity.
Keywords: tri-hybrid nanoparticles; Soret and Dufour effect; boundary layer analysis; finite element scheme; heat generation; constructive and destructive chemical reaction tri-hybrid nanoparticles; Soret and Dufour effect; boundary layer analysis; finite element scheme; heat generation; constructive and destructive chemical reaction

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MDPI and ACS Style

Hou, E.; Wang, F.; Nazir, U.; Sohail, M.; Jabbar, N.; Thounthong, P. Dynamics of Tri-Hybrid Nanoparticles in the Rheology of Pseudo-Plastic Liquid with Dufour and Soret Effects. Micromachines 2022, 13, 201. https://doi.org/10.3390/mi13020201

AMA Style

Hou E, Wang F, Nazir U, Sohail M, Jabbar N, Thounthong P. Dynamics of Tri-Hybrid Nanoparticles in the Rheology of Pseudo-Plastic Liquid with Dufour and Soret Effects. Micromachines. 2022; 13(2):201. https://doi.org/10.3390/mi13020201

Chicago/Turabian Style

Hou, Enran, Fuzhang Wang, Umar Nazir, Muhammad Sohail, Noman Jabbar, and Phatiphat Thounthong. 2022. "Dynamics of Tri-Hybrid Nanoparticles in the Rheology of Pseudo-Plastic Liquid with Dufour and Soret Effects" Micromachines 13, no. 2: 201. https://doi.org/10.3390/mi13020201

APA Style

Hou, E., Wang, F., Nazir, U., Sohail, M., Jabbar, N., & Thounthong, P. (2022). Dynamics of Tri-Hybrid Nanoparticles in the Rheology of Pseudo-Plastic Liquid with Dufour and Soret Effects. Micromachines, 13(2), 201. https://doi.org/10.3390/mi13020201

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