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Year 2025, Volume: 17 Issue: 1, 102 - 119, 30.06.2025
https://doi.org/10.47000/tjmcs.1617287

Abstract

References

  • Abad, J.M.N., Alizadeh, R., Fattahi, A., Doranehgard, M.H., Alhajri, E. et al. Analysis of transport processes in a reacting flow of hybrid nanofluid around a bluff-body embedded in porous media using artificial neural network and particle swarm optimization, Journal of Molecular Liquids, 313(2020), 113492.
  • Batchelor, G.K., On steady laminar flow with closed streamlines at large Reynolds number, Journal of Fluid Mechanics, 1(2)(1956), 177–190.
  • Brinkman, H.C., The viscosity of concentrated suspensions and solutions, The Journal of chemical physics, 20(4)(1952), 571–571.
  • Burggraf, O.R., Analytical and numerical studies of the structure of steady separated flows, Journal of Fluid Mechanics, 24(1)(1966), 113–151.
  • Cacua, K., Buitrago-Sierra, R., Pab´on, E., Gallego, A., Zapata, C. et al. Nanofluids stability effect on a thermosyphon thermal performance, International Journal of Thermal Sciences, 153(2020), 106347.
  • Chien, W.L., Rising, H., Ottino, J.M., Laminar mixing and chaotic mixing in several cavity flows, Journal of Fluid Mechanics, 170(1986), 355–377.
  • Çilingir Süngü, İ., Kapalı Bölgede Duvar Hareketli Akış ve Doğal Taşınımlı Isı Geçişinin Sayısal Çözümü, Ph. D. Thesis, Ondokuz Mayıs University, Institute of Science and Technology, Department of Mathematics, Samsun, Türkiye, 2011.
  • Demir, H., The Stability Properties of Some Rheological Flows, Ph. D. Thesis, The University of Glamorgan, School of Accounting and Mathematics, Divison of Maths and Computing, 264, Wales (Galler), UK, 1996.
  • Jana, S.C., Metcalfe, G., Ottino, J.M., Experimental and computational studies of mixing in complex Stokes flows: the vortex mixing flow and multicellular cavity flows, Journal of Fluid Mechanics, 269(1994), 199–246.
  • Kawaguti, M., Numerical solution of the Navier-Stokes equations for the flow in a two-dimensional cavity, Journal of the Physical Society of Japan, 16(11)(1961), 2307–2315.
  • Li, Q., Xuan, Y., Wang, J., Experimental investigations on transport properties of magnetic fluids, Experimental Thermal and Fluid Science, 30(2)(2005), 109–116.
  • Mahmoodi, M., Abbasian, A.A.A., Mazrouei, S.S., Nazari, S., Akbari, M., Free convection of a nanoluid in a square cavity with a heat source on the bottom wall and partially cooled from sides, Thermal Science, 18(2)(2014), 283–300.

Investigation of a Water-based Boron Nanofluid Inside a Cavity with an Obstacle Using a Numerical Technique

Year 2025, Volume: 17 Issue: 1, 102 - 119, 30.06.2025
https://doi.org/10.47000/tjmcs.1617287

Abstract

In this paper the stability of two-dimensional fluid flow induced by various wall movements was thoroughly investigated within a planar cavity for steady-state water-based boron nanofluids with respect to the aspect ratio. The nonlinear governing equations describing the flow were numerically evaluated using the Successive Over-Relaxation (SOR) method combined with the finite-difference approach. The relationship between velocity and pressure was represented through the stream function-vorticity formulation. Special emphasis was placed on optimising numerical procedures for two different aspect ratios to ensure solution accuracy. Simulations were conducted for a range of Reynolds numbers to predict the behaviour of streamlines in the flow domain. The results were compared with those from previous studies on Newtonian fluids, showing reliable agreement. Additionally, the behaviour of water-based boron nanofluids in wall-driven flow with an obstacle in a flow domain was documented for the first time, providing novel insights into the flow dynamics. These findings serve as a foundation for upcoming research on nanofluids in fluid dynamics. The results also contribute to advancing the understanding of nanofluid behaviour in wall-driven flow. Graphical data demonstrated the reliability and accuracy of the finite-difference method coupled with the SOR approach in solving complex fluid dynamics problems.

References

  • Abad, J.M.N., Alizadeh, R., Fattahi, A., Doranehgard, M.H., Alhajri, E. et al. Analysis of transport processes in a reacting flow of hybrid nanofluid around a bluff-body embedded in porous media using artificial neural network and particle swarm optimization, Journal of Molecular Liquids, 313(2020), 113492.
  • Batchelor, G.K., On steady laminar flow with closed streamlines at large Reynolds number, Journal of Fluid Mechanics, 1(2)(1956), 177–190.
  • Brinkman, H.C., The viscosity of concentrated suspensions and solutions, The Journal of chemical physics, 20(4)(1952), 571–571.
  • Burggraf, O.R., Analytical and numerical studies of the structure of steady separated flows, Journal of Fluid Mechanics, 24(1)(1966), 113–151.
  • Cacua, K., Buitrago-Sierra, R., Pab´on, E., Gallego, A., Zapata, C. et al. Nanofluids stability effect on a thermosyphon thermal performance, International Journal of Thermal Sciences, 153(2020), 106347.
  • Chien, W.L., Rising, H., Ottino, J.M., Laminar mixing and chaotic mixing in several cavity flows, Journal of Fluid Mechanics, 170(1986), 355–377.
  • Çilingir Süngü, İ., Kapalı Bölgede Duvar Hareketli Akış ve Doğal Taşınımlı Isı Geçişinin Sayısal Çözümü, Ph. D. Thesis, Ondokuz Mayıs University, Institute of Science and Technology, Department of Mathematics, Samsun, Türkiye, 2011.
  • Demir, H., The Stability Properties of Some Rheological Flows, Ph. D. Thesis, The University of Glamorgan, School of Accounting and Mathematics, Divison of Maths and Computing, 264, Wales (Galler), UK, 1996.
  • Jana, S.C., Metcalfe, G., Ottino, J.M., Experimental and computational studies of mixing in complex Stokes flows: the vortex mixing flow and multicellular cavity flows, Journal of Fluid Mechanics, 269(1994), 199–246.
  • Kawaguti, M., Numerical solution of the Navier-Stokes equations for the flow in a two-dimensional cavity, Journal of the Physical Society of Japan, 16(11)(1961), 2307–2315.
  • Li, Q., Xuan, Y., Wang, J., Experimental investigations on transport properties of magnetic fluids, Experimental Thermal and Fluid Science, 30(2)(2005), 109–116.
  • Mahmoodi, M., Abbasian, A.A.A., Mazrouei, S.S., Nazari, S., Akbari, M., Free convection of a nanoluid in a square cavity with a heat source on the bottom wall and partially cooled from sides, Thermal Science, 18(2)(2014), 283–300.
There are 12 citations in total.

Details

Primary Language English
Subjects Dynamical Systems in Applications
Journal Section Research Article
Authors

Yücel Baltürk 0000-0002-6030-3893

İnci Çilingir Süngü 0000-0001-7788-181X

Hüseyin Demir 0000-0003-3606-878X

Publication Date June 30, 2025
Submission Date January 10, 2025
Acceptance Date April 11, 2025
Published in Issue Year 2025 Volume: 17 Issue: 1

Cite

APA Baltürk, Y., Çilingir Süngü, İ., & Demir, H. (2025). Investigation of a Water-based Boron Nanofluid Inside a Cavity with an Obstacle Using a Numerical Technique. Turkish Journal of Mathematics and Computer Science, 17(1), 102-119. https://doi.org/10.47000/tjmcs.1617287
AMA Baltürk Y, Çilingir Süngü İ, Demir H. Investigation of a Water-based Boron Nanofluid Inside a Cavity with an Obstacle Using a Numerical Technique. TJMCS. June 2025;17(1):102-119. doi:10.47000/tjmcs.1617287
Chicago Baltürk, Yücel, İnci Çilingir Süngü, and Hüseyin Demir. “Investigation of a Water-Based Boron Nanofluid Inside a Cavity With an Obstacle Using a Numerical Technique”. Turkish Journal of Mathematics and Computer Science 17, no. 1 (June 2025): 102-19. https://doi.org/10.47000/tjmcs.1617287.
EndNote Baltürk Y, Çilingir Süngü İ, Demir H (June 1, 2025) Investigation of a Water-based Boron Nanofluid Inside a Cavity with an Obstacle Using a Numerical Technique. Turkish Journal of Mathematics and Computer Science 17 1 102–119.
IEEE Y. Baltürk, İ. Çilingir Süngü, and H. Demir, “Investigation of a Water-based Boron Nanofluid Inside a Cavity with an Obstacle Using a Numerical Technique”, TJMCS, vol. 17, no. 1, pp. 102–119, 2025, doi: 10.47000/tjmcs.1617287.
ISNAD Baltürk, Yücel et al. “Investigation of a Water-Based Boron Nanofluid Inside a Cavity With an Obstacle Using a Numerical Technique”. Turkish Journal of Mathematics and Computer Science 17/1 (June2025), 102-119. https://doi.org/10.47000/tjmcs.1617287.
JAMA Baltürk Y, Çilingir Süngü İ, Demir H. Investigation of a Water-based Boron Nanofluid Inside a Cavity with an Obstacle Using a Numerical Technique. TJMCS. 2025;17:102–119.
MLA Baltürk, Yücel et al. “Investigation of a Water-Based Boron Nanofluid Inside a Cavity With an Obstacle Using a Numerical Technique”. Turkish Journal of Mathematics and Computer Science, vol. 17, no. 1, 2025, pp. 102-19, doi:10.47000/tjmcs.1617287.
Vancouver Baltürk Y, Çilingir Süngü İ, Demir H. Investigation of a Water-based Boron Nanofluid Inside a Cavity with an Obstacle Using a Numerical Technique. TJMCS. 2025;17(1):102-19.