Numerical investigation of combined convective heat transfer using fractal barriers in a circular cavity filled with nanofluid

In the present research, the numerical investigation of the nanofluid flow inside the circular cavity with the presence of fractal barriers has been done using the finite volume method (FVM). This investigation is done for Richardson numbers (Ri) = 0.1 to 1, solid nanoparticle volume fraction (φ) = ...

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Main Authors: Reza Mougouei, Ali B.M. Ali, Omid Ali Akbari, Gholamreza Ahmadi, Soheil Salahshour, Sh Baghaei
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:Case Studies in Thermal Engineering
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Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X24016459
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author Reza Mougouei
Ali B.M. Ali
Omid Ali Akbari
Gholamreza Ahmadi
Soheil Salahshour
Sh Baghaei
author_facet Reza Mougouei
Ali B.M. Ali
Omid Ali Akbari
Gholamreza Ahmadi
Soheil Salahshour
Sh Baghaei
author_sort Reza Mougouei
collection DOAJ
description In the present research, the numerical investigation of the nanofluid flow inside the circular cavity with the presence of fractal barriers has been done using the finite volume method (FVM). This investigation is done for Richardson numbers (Ri) = 0.1 to 1, solid nanoparticle volume fraction (φ) = 0 to 0.6 and for three shapes of fractal barrier in the two-dimensional (2D) cavity. The results of this research show that the presence of an obstacle with a special shape causes the components of the flow paths, creates weaker vortices in parts of the cavity and finally increases the contact of the fluid with hot surfaces. The behavior of the flow lines in the cavity is affected by two main stimulating factors. The main factor in the movement of the flow is the mobility of the cap (lid-driven), which, as a result, due to the viscosity of the fluid, the layered transfer of movement continues to the lower layers of the fluid. This factor forces the flow field to move. An increase in Ri increases the speed of the cap, which will result in better heat penetration and mixing between the fluid layers in different parts of the cavity. If this is accompanied by an increase in the disturbance of the flow due to the presence of obstacles, it will have a greater effect on the uniform temperature distribution. It seems that in addition to the forced convection, the conduction mechanism will also play a significant role in heat distribution. Adding solid nanoparticles in a higher φ, this behavior makes the heat distribution uniform to a small extent. Moreover, changing the shape of the fractal barrier will cause changes in fluid circulation behavior and reduce the slope of constant temperature lines. The thermal conductivity of the fluid will also improve through the addition of solid nanoparticles and consequently, the local Nusselt number (Nu) increases. Changes in the average Nusselt number at Ri = 0.1 in different volume fractions and for the cases studied can cause an increase in the Nusselt number between 10 and 16 percent. The above behavior for Ri = 1 improves the Nusselt number by less than 13 percent and for Ri = 10 this is less than 4 percent.
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spelling doaj-art-86f0a5e887434d6fb61978eee68c328c2025-01-08T04:52:40ZengElsevierCase Studies in Thermal Engineering2214-157X2025-01-0165105614Numerical investigation of combined convective heat transfer using fractal barriers in a circular cavity filled with nanofluidReza Mougouei0Ali B.M. Ali1Omid Ali Akbari2Gholamreza Ahmadi3Soheil Salahshour4Sh Baghaei5Department of Mechanical Engineering, Golpayegan College of Engineering, Isfahan University of Technology, Golpayegan, 87717-67498, IranAir Conditioning Engineering Department, College of Engineering, University of Warith Al-Anbiyaa,Karbala, IraqDepartment of Mechanical Engineering, Faculty of Engineering, Arak University, Arak, 38156-88349, IranFaculty of Mechanical and Energy Engineering, Shahid Beheshti University, Tehran, IranFaculty of Engineering and Natural Sciences, Istanbul Okan University, Istanbul, Turkey; Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey; Faculty of Science and Letters, Piri Reis University, Tuzla, Istanbul, TurkeyDepartment of Engineering, Islamic Azad University, Iran; Corresponding author.In the present research, the numerical investigation of the nanofluid flow inside the circular cavity with the presence of fractal barriers has been done using the finite volume method (FVM). This investigation is done for Richardson numbers (Ri) = 0.1 to 1, solid nanoparticle volume fraction (φ) = 0 to 0.6 and for three shapes of fractal barrier in the two-dimensional (2D) cavity. The results of this research show that the presence of an obstacle with a special shape causes the components of the flow paths, creates weaker vortices in parts of the cavity and finally increases the contact of the fluid with hot surfaces. The behavior of the flow lines in the cavity is affected by two main stimulating factors. The main factor in the movement of the flow is the mobility of the cap (lid-driven), which, as a result, due to the viscosity of the fluid, the layered transfer of movement continues to the lower layers of the fluid. This factor forces the flow field to move. An increase in Ri increases the speed of the cap, which will result in better heat penetration and mixing between the fluid layers in different parts of the cavity. If this is accompanied by an increase in the disturbance of the flow due to the presence of obstacles, it will have a greater effect on the uniform temperature distribution. It seems that in addition to the forced convection, the conduction mechanism will also play a significant role in heat distribution. Adding solid nanoparticles in a higher φ, this behavior makes the heat distribution uniform to a small extent. Moreover, changing the shape of the fractal barrier will cause changes in fluid circulation behavior and reduce the slope of constant temperature lines. The thermal conductivity of the fluid will also improve through the addition of solid nanoparticles and consequently, the local Nusselt number (Nu) increases. Changes in the average Nusselt number at Ri = 0.1 in different volume fractions and for the cases studied can cause an increase in the Nusselt number between 10 and 16 percent. The above behavior for Ri = 1 improves the Nusselt number by less than 13 percent and for Ri = 10 this is less than 4 percent.http://www.sciencedirect.com/science/article/pii/S2214157X24016459Circular cavityHeat transferNumerical studyNanofluidNusselt numberFractal barriers
spellingShingle Reza Mougouei
Ali B.M. Ali
Omid Ali Akbari
Gholamreza Ahmadi
Soheil Salahshour
Sh Baghaei
Numerical investigation of combined convective heat transfer using fractal barriers in a circular cavity filled with nanofluid
Case Studies in Thermal Engineering
Circular cavity
Heat transfer
Numerical study
Nanofluid
Nusselt number
Fractal barriers
title Numerical investigation of combined convective heat transfer using fractal barriers in a circular cavity filled with nanofluid
title_full Numerical investigation of combined convective heat transfer using fractal barriers in a circular cavity filled with nanofluid
title_fullStr Numerical investigation of combined convective heat transfer using fractal barriers in a circular cavity filled with nanofluid
title_full_unstemmed Numerical investigation of combined convective heat transfer using fractal barriers in a circular cavity filled with nanofluid
title_short Numerical investigation of combined convective heat transfer using fractal barriers in a circular cavity filled with nanofluid
title_sort numerical investigation of combined convective heat transfer using fractal barriers in a circular cavity filled with nanofluid
topic Circular cavity
Heat transfer
Numerical study
Nanofluid
Nusselt number
Fractal barriers
url http://www.sciencedirect.com/science/article/pii/S2214157X24016459
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