Numerical Simulation of 1D Heat Conduction in Spherical and Cylindrical Coordinates by Fourth-Order Finite Difference Method

Assis, Letícia Helena Paulino de; Romão, Estaner Claro

doi:10.14445/22315373/ijmtt-v46p521

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2020

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“…de Assis and Romao [14], worked on that phenomenon in pipes and spheres by discretizing the advection-diffusion equations through finite differences, using Crank Nickolson's scheme. Several authors have presented the resolution of this equation using different methods [15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Simulation of Heat Transfer in Different Geometries Immersed in a Solar Pond Using Fortran and COMSOL Codes

Labed¹,

Zermane²

2020

IJHT

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In this paper, we have numerically studied the phenomenon of unidimensional convectionconduction equation in a channel, cylinder and sphere immersed in a solar pond. Then we have studied bidimensional case in a heat exchanger, which undergoes an external heat flow provided by solar pond. We carried out the discretization of the mathematical model by finite differences method (explicit scheme). Calculation codes in Fortran language have been created for the temperature distribution in all these geometries. We presented the numerical results in terms of temperature profile functions, one-and twodimensional, in laminar flow regime, for various parameters. We also present a study by COMSOL of the same phenomenon on these geometries. This study can be presented by two methods, the first using the physical model and the second using the mathematical part of COMSOL.

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Section: Introductionmentioning

confidence: 99%

Simulation of Heat Transfer in Different Geometries Immersed in a Solar Pond Using Fortran and COMSOL Codes

Labed¹,

Zermane²

2020

IJHT

View full text Add to dashboard Cite

show abstract

Numerical Simulation of 1D Heat Conduction in Spherical and Cylindrical Coordinates by Fourth-Order Finite Difference Method

Abstract: This paper aims to apply the Fourth Order Finite Difference Method to solve the onedimensional Convection-Diffusion equation with energy generation (or sink) in in cylindrical and spherical coordinates.

Cited by 1 publication

References 4 publications

Simulation of Heat Transfer in Different Geometries Immersed in a Solar Pond Using Fortran and COMSOL Codes

Simulation of Heat Transfer in Different Geometries Immersed in a Solar Pond Using Fortran and COMSOL Codes

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