Thermodynamic Analysis of Magnetized Carbon Nanotubes (CNTs) Conveying Ethylene Glycol (EG) Based Nanofluid Flow Through Porous Convergent/Divergent Channel in the Existence of Lorentz Force and Solar Radiation

Author:

Ullah Subhan1,Ali Amir1,Ullah Ikram2,Israr Muhammad3

Affiliation:

1. Department of Mathematics, University of Malakand, 18800, Chakdara, Pakistan

2. Department of Natural Sciences and Humanities, University of Engineering and Technology, 23200, Mardan, Pakistan

3. Department of Mathematics, Northern University, 24110, Wattar-Nowshera, KPK, Pakistan

Abstract

Due to higher thermal features, carbon nanotubes (CNTs) have significant uses in heating frameworks, medical, hyperthermia, industrial cooling, process of cooling in heat exchangers, electronic and pharmaceutical administration systems, heating systems, radiators, electrical, electronic device batteries, and engineering areas. The main concern of present study is to inspect the EG based CNTs nanomaterials flow in a porous divergent/convergent channel with the application of Lorentz force. The Darcy-Forchheimer theory is utilized to investigate the nanofluid motion and thermal features. Mathematical modeling is further developed by considering Joule heating, solar radiation and heat source. Ordinary differential equations (ODEs) are obtained by employing the proper transformations (obtained from symmetry analysis). The numerical computations are executed through NDSolve technique using Mathematica tool. The upshots of distinct significant parameters on different profiles are displayed via numerical data and sketches. The major outcome is that, enhancement in nanoparticles volume fraction and in inertia coefficient escalate the nanofluids motion for both divergent and convergent. Furthermore, drag forces exerted by the channel is more for higher porosity parameter and inertia coefficient. Also heat transfer rate is significantly enhances against radiation and heat source parameter and is more in case of stretching wall than the shrinking one. Overall, the effect of MWCNT is about 3% is more than that of CWCNT.

Publisher

American Scientific Publishers

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