Laminar Rayleigh–Benard convection in a closed square field with meshless radial basis function method

Research on natural convection is exciting in some experimental and numerical cases, especially in rectangular cavities with relatively low heat dissipation and thermal control systems with low cost, reliability, and ease of use. The present study will use the meshless radial basis function method t...

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Main Authors: Santosa Irfan, Budiana Eko Prasetya, Hadi Syamsul, Wijayanta Agung Tri
Format: Article
Language:English
Published: De Gruyter 2023-08-01
Series:Curved and Layered Structures
Subjects:
Online Access:https://doi.org/10.1515/cls-2022-0204
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author Santosa Irfan
Budiana Eko Prasetya
Hadi Syamsul
Wijayanta Agung Tri
author_facet Santosa Irfan
Budiana Eko Prasetya
Hadi Syamsul
Wijayanta Agung Tri
author_sort Santosa Irfan
collection DOAJ
description Research on natural convection is exciting in some experimental and numerical cases, especially in rectangular cavities with relatively low heat dissipation and thermal control systems with low cost, reliability, and ease of use. The present study will use the meshless radial basis function method to solve the velocity formulation of the Navier–Stokes equations by varying some nominal Rayleigh numbers of 104, 105, and 106. The numerical accuracy is compared with the previous research. The advantages of the meshless method are that it does not require a structured mesh and does not require inter-nodal connectivity. The results show that the temperature pattern is identical to the previous research. The calculations have been done for three different Rayleigh numbers of 104, 105, and 106 for 151 × 151 nodes. The variations of the Ra number will affect the isothermal, velocity contours, and Nusselt number.
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spelling doaj.art-64732862dc6c49539569130c9f674b0b2023-08-21T06:42:04ZengDe GruyterCurved and Layered Structures2353-73962023-08-011011226495010.1515/cls-2022-0204Laminar Rayleigh–Benard convection in a closed square field with meshless radial basis function methodSantosa Irfan0Budiana Eko Prasetya1Hadi Syamsul2Wijayanta Agung Tri3Department of Mechanical Engineering, Faculty of Engineering, Universitas Sebelas Maret, Jalan Ir. Sutami 36A, Surakarta57126, IndonesiaDepartment of Mechanical Engineering, Faculty of Engineering, Universitas Sebelas Maret, Jalan Ir. Sutami 36A, Surakarta57126, IndonesiaDepartment of Mechanical Engineering, Faculty of Engineering, Universitas Sebelas Maret, Jalan Ir. Sutami 36A, Surakarta57126, IndonesiaDepartment of Mechanical Engineering, Faculty of Engineering, Universitas Sebelas Maret, Jalan Ir. Sutami 36A, Surakarta57126, IndonesiaResearch on natural convection is exciting in some experimental and numerical cases, especially in rectangular cavities with relatively low heat dissipation and thermal control systems with low cost, reliability, and ease of use. The present study will use the meshless radial basis function method to solve the velocity formulation of the Navier–Stokes equations by varying some nominal Rayleigh numbers of 104, 105, and 106. The numerical accuracy is compared with the previous research. The advantages of the meshless method are that it does not require a structured mesh and does not require inter-nodal connectivity. The results show that the temperature pattern is identical to the previous research. The calculations have been done for three different Rayleigh numbers of 104, 105, and 106 for 151 × 151 nodes. The variations of the Ra number will affect the isothermal, velocity contours, and Nusselt number.https://doi.org/10.1515/cls-2022-0204laminar convectionrayleigh–benardradial basis function method
spellingShingle Santosa Irfan
Budiana Eko Prasetya
Hadi Syamsul
Wijayanta Agung Tri
Laminar Rayleigh–Benard convection in a closed square field with meshless radial basis function method
Curved and Layered Structures
laminar convection
rayleigh–benard
radial basis function method
title Laminar Rayleigh–Benard convection in a closed square field with meshless radial basis function method
title_full Laminar Rayleigh–Benard convection in a closed square field with meshless radial basis function method
title_fullStr Laminar Rayleigh–Benard convection in a closed square field with meshless radial basis function method
title_full_unstemmed Laminar Rayleigh–Benard convection in a closed square field with meshless radial basis function method
title_short Laminar Rayleigh–Benard convection in a closed square field with meshless radial basis function method
title_sort laminar rayleigh benard convection in a closed square field with meshless radial basis function method
topic laminar convection
rayleigh–benard
radial basis function method
url https://doi.org/10.1515/cls-2022-0204
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AT budianaekoprasetya laminarrayleighbenardconvectioninaclosedsquarefieldwithmeshlessradialbasisfunctionmethod
AT hadisyamsul laminarrayleighbenardconvectioninaclosedsquarefieldwithmeshlessradialbasisfunctionmethod
AT wijayantaagungtri laminarrayleighbenardconvectioninaclosedsquarefieldwithmeshlessradialbasisfunctionmethod