Exploration of Aluminum and Titanium Alloys in the Stream-Wise and Secondary Flow Directions Comprising the Significant Impacts of Magnetohydrodynamic and Hybrid Nanofluid

This exploration examines the nonlinear effect of radiation on magnet flow consisting of hybrid alloy nanoparticles in the way of stream-wise and cross flow. Many experimental, as well as theoretical explorations, demonstrated that the thermal conductivity of the regular liquid increases by up to 15...

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Main Authors: Kottakkaran Sooppy Nisar, Umair Khan, Aurang Zaib, Ilyas Khan, Dumitru Baleanu
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Crystals
Subjects:
Online Access:https://www.mdpi.com/2073-4352/10/8/679
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spelling doaj-b1fef79ae59340a7957186fcd3a9d7da2020-11-25T03:37:11ZengMDPI AGCrystals2073-43522020-08-011067967910.3390/cryst10080679Exploration of Aluminum and Titanium Alloys in the Stream-Wise and Secondary Flow Directions Comprising the Significant Impacts of Magnetohydrodynamic and Hybrid NanofluidKottakkaran Sooppy Nisar0Umair Khan1Aurang Zaib2Ilyas Khan3Dumitru Baleanu4Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi ArabiaDepartment of Mathematics and Social Sciences, Sukkur IBA University, Sukkur 65200, PakistanDepartment of Mathematic, The Begum Nusrat Bhutto Women University, Sukkur 65170, PakistanFaculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 72915, VietnamDepartment of Mathematics, Cankaya University, Ankara 06790, TurkeyThis exploration examines the nonlinear effect of radiation on magnet flow consisting of hybrid alloy nanoparticles in the way of stream-wise and cross flow. Many experimental, as well as theoretical explorations, demonstrated that the thermal conductivity of the regular liquid increases by up to 15 to 40% when nanomaterials are mixed with the regular liquid. This change of the thermal conductivity of the nanoliquid depends on the various characteristics of the mixed nanomaterials like the size of the nanoparticles, the agglomeration of the particles, the volume fraction, etc. Researchers have used numerous nanoparticles. However, we selected water-based aluminum alloy (AA7075) and titanium alloy (Ti<sub>6</sub>Al<sub>4</sub>V) hybrid nanomaterials. This condition was mathematically modeled by capturing the Soret and Dufour impacts. The similarity method was exercised to change the partial differential equations (PDEs) into nonlinear ordinary differential equations (ODEs). Such nonlinear ODEs were worked out numerically via the bvp4c solver. The influences of varying the parameters on the concentration, temperature, and velocity area and the accompanying engineering quantities such as friction factor, mass, and heat transport rate were obtained and discussed using graphs. The velocity declines owing to nanoparticle volume fraction in the stream-wise and cross flow directions in the first result and augment in the second result, while the temperature and concentration upsurge in the first and second results. In addition, the Nusselt number augments due to the Soret number and declines due to the Dufour number in both results, whereas the Sherwood number uplifts due to the Dufour number and shrinks due to the Soret number in both results.https://www.mdpi.com/2073-4352/10/8/679Dufour and Soret effectsstream-wise directioncross flowhybrid alloy nanomaterialsdual solutions
collection DOAJ
language English
format Article
sources DOAJ
author Kottakkaran Sooppy Nisar
Umair Khan
Aurang Zaib
Ilyas Khan
Dumitru Baleanu
spellingShingle Kottakkaran Sooppy Nisar
Umair Khan
Aurang Zaib
Ilyas Khan
Dumitru Baleanu
Exploration of Aluminum and Titanium Alloys in the Stream-Wise and Secondary Flow Directions Comprising the Significant Impacts of Magnetohydrodynamic and Hybrid Nanofluid
Crystals
Dufour and Soret effects
stream-wise direction
cross flow
hybrid alloy nanomaterials
dual solutions
author_facet Kottakkaran Sooppy Nisar
Umair Khan
Aurang Zaib
Ilyas Khan
Dumitru Baleanu
author_sort Kottakkaran Sooppy Nisar
title Exploration of Aluminum and Titanium Alloys in the Stream-Wise and Secondary Flow Directions Comprising the Significant Impacts of Magnetohydrodynamic and Hybrid Nanofluid
title_short Exploration of Aluminum and Titanium Alloys in the Stream-Wise and Secondary Flow Directions Comprising the Significant Impacts of Magnetohydrodynamic and Hybrid Nanofluid
title_full Exploration of Aluminum and Titanium Alloys in the Stream-Wise and Secondary Flow Directions Comprising the Significant Impacts of Magnetohydrodynamic and Hybrid Nanofluid
title_fullStr Exploration of Aluminum and Titanium Alloys in the Stream-Wise and Secondary Flow Directions Comprising the Significant Impacts of Magnetohydrodynamic and Hybrid Nanofluid
title_full_unstemmed Exploration of Aluminum and Titanium Alloys in the Stream-Wise and Secondary Flow Directions Comprising the Significant Impacts of Magnetohydrodynamic and Hybrid Nanofluid
title_sort exploration of aluminum and titanium alloys in the stream-wise and secondary flow directions comprising the significant impacts of magnetohydrodynamic and hybrid nanofluid
publisher MDPI AG
series Crystals
issn 2073-4352
publishDate 2020-08-01
description This exploration examines the nonlinear effect of radiation on magnet flow consisting of hybrid alloy nanoparticles in the way of stream-wise and cross flow. Many experimental, as well as theoretical explorations, demonstrated that the thermal conductivity of the regular liquid increases by up to 15 to 40% when nanomaterials are mixed with the regular liquid. This change of the thermal conductivity of the nanoliquid depends on the various characteristics of the mixed nanomaterials like the size of the nanoparticles, the agglomeration of the particles, the volume fraction, etc. Researchers have used numerous nanoparticles. However, we selected water-based aluminum alloy (AA7075) and titanium alloy (Ti<sub>6</sub>Al<sub>4</sub>V) hybrid nanomaterials. This condition was mathematically modeled by capturing the Soret and Dufour impacts. The similarity method was exercised to change the partial differential equations (PDEs) into nonlinear ordinary differential equations (ODEs). Such nonlinear ODEs were worked out numerically via the bvp4c solver. The influences of varying the parameters on the concentration, temperature, and velocity area and the accompanying engineering quantities such as friction factor, mass, and heat transport rate were obtained and discussed using graphs. The velocity declines owing to nanoparticle volume fraction in the stream-wise and cross flow directions in the first result and augment in the second result, while the temperature and concentration upsurge in the first and second results. In addition, the Nusselt number augments due to the Soret number and declines due to the Dufour number in both results, whereas the Sherwood number uplifts due to the Dufour number and shrinks due to the Soret number in both results.
topic Dufour and Soret effects
stream-wise direction
cross flow
hybrid alloy nanomaterials
dual solutions
url https://www.mdpi.com/2073-4352/10/8/679
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AT aurangzaib explorationofaluminumandtitaniumalloysinthestreamwiseandsecondaryflowdirectionscomprisingthesignificantimpactsofmagnetohydrodynamicandhybridnanofluid
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AT dumitrubaleanu explorationofaluminumandtitaniumalloysinthestreamwiseandsecondaryflowdirectionscomprisingthesignificantimpactsofmagnetohydrodynamicandhybridnanofluid
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