Abstract
A numerical study has been performed to uncover the nonuniform heating on buoyant flow of nanofluid and associated thermal transport processes inside the annular geometry. The vertical boundaries of the annulus are differently heated with linear thermal profiles, and horizontal surfaces are kept insulated. Using vorticity-stream function formulation, the governing model equations are integrated using time-splitting and relaxation finite difference techniques. The simulation predictions are illustrated through streamline and isotherms and heat transport rates in terms of the average Nusselt numbers for a wider range of chosen parameters. In particular, the impacts of radius and aspect ratios on the buoyant convection and thermal transport rates have been investigated. The simulation predictions reveal that the flow and thermal distribution along with thermal transport rates are significantly modified by aspect and radius ratios. Heat transport rates are augmented with an enhancement in nanoparticle concentrations as well as radius ratio. The aspect ratio has a significant impact on flow and thermal transport rates in comparison with remaining parameters.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Sankar, M., Kiran, S., Ramesh, G.K., Makinde, O.D.: Natural convection in a non-uniformly heated vertical annular cavity. Defect Diffus. Forum 377, 189–199 (2017)
Kiran, S., Sankar, M., Sivasankaran, S.: Numerical study on conjugate convective thermal transport in an annular porous geometry. Kuwait J. Sci. 49(2), 1–23 (2022)
Kemparaju, S., Kumara Swamy, H.A., Sankar, M., Mebarek-Oudina, F.: Impact of thermal and solute source-sink combination on thermosolutal convection in a partially active porous annulus. Phys. Scr. 97, 055206 (2022)
Abouali, O., Falahatpisheh, A.: Numerical investigation of natural convection of \(Al_{2}O_3\) nanofluid in vertical annuli. Heat Mass Transf. 46(1), 15–23 (2009)
Cadena-de la Pe\(\tilde {n}\)a, N.L., Rivera-Solorio, C.I., Pay\(\acute {a}\)n-Rodr\(\acute {i}\)guez, L.A., Garc\(\acute {i}\)a-Cu\(\acute {e}\)llar, A.J., L\(\acute {o}\)pez-Salinas, J.L.: Experimental analysis of natural convection in vertical annuli filled with AlN and \(TiO_2\)/mineral oil-based nanofluids. Int. J. Therm. Sci. 111, 138–145 (2017).
Mebarek-Oudina, F.: Convective heat transfer of Titania nanofluids of different base fluids in cylindrical annulus with discrete heat source. Heat Transf.-Asian Res. 48(1), 135–147 (2019)
Bouzerzour, A., Djezzar, M., Oztop, H.F., Tayebi, T., and Abu-Hamdeh, N.: Natural convection in nanofluid filled and partially heated annulus: effect of different arrangements of heaters. Phys. A 538, 122479 (2020)
Pushpa, B.V., Sankar, M., Mebarek-Oudina, F.: Buoyant convective flow and heat dissipation of Cu–\(H_2\)O nanoliquids in an annulus through a thin baffle. J. Nanofluids 10, 292–304 (2021)
Swamy, H.A.K., Sankar, M., Reddy, N.K.: Analysis of entropy generation and energy transport of Cu-water nanoliquid in a tilted vertical porous annulus. Int. J. Appl. Comput. Math. 8(1), 10 (2022)
Basak, T., Chamkha, A.J.: Heatline analysis on natural convection for nanofluids confined within square cavities with various thermal boundary conditions. Int. J. Heat Mass Transf. 55, 5526–5543 (2012)
Roy, N.C.: Natural convection of nanofluids in a square enclosure with different shapes of inner geometry. Phys. Fluids 30, 113605 (2018)
Alsabery, A.I., Chamkha, A.J., Saleh, H., Hashim, I.: Heatline visualization of conjugate natural convection in a square cavity filled with nanofluid with sinusoidal temperature variations on both horizontal walls. Int. J. Heat Mass Transf. 100, 835–850 (2016)
Mahmoudi, A., Mejri, I., Abbassi, M.A., Omri, A.: Lattice Boltzmann simulation of MHD natural convection in a nanofluid-filled cavity with linear temperature distribution. Powder Technol. 256, 257–271 (2014)
Guo, Z.: A review on heat transfer enhancement with nanofluids. J. Enhanc. Heat Transf. 27(1), 1–70 (2020)
Mebarek Oudina, F., Chabani, I.: Review on nano-fluids applications and heat transfer enhancement techniques in different enclosures. J. Nanofluids 11(2), 155–168 (2022)
Sathiyamoorthy, M., Basak, T., Roy, S., Pop, I.: Steady natural convection flows in a square cavity with linearly heated side wall(s). Int. J. Heat Mass Transf. 50, 766–775 (2007)
Sathiyamoorthy, M., Chamkha, A.: Effect of magnetic field on natural convection flow in a liquid gallium filled square cavity for linearly heated side wall(s). Int. J. Therm. Sci. 49, 1856–1865 (2010)
Reddy, N.K., Sankar, M.: Buoyant heat transfer of nanofluids in a vertical porous annulus: a comparative study of different models. Int. J. Numer. Methods Heat Fluid Flow 33(2), 477–509 (2023)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Kiran, S., Sankar, M., Girish, N., Kumara Swamy, H.A. (2024). Buoyant Convection of Nanofluid in an Annular Domain with Linear Heating. In: Kamalov, F., Sivaraj, R., Leung, HH. (eds) Advances in Mathematical Modeling and Scientific Computing. ICRDM 2022. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-41420-6_30
Download citation
DOI: https://doi.org/10.1007/978-3-031-41420-6_30
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-031-41419-0
Online ISBN: 978-3-031-41420-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)