Numerical Simulation of 1D Unsteady Heat Conduction-Convection in Spherical and Cylindrical Coordinates by Fourth-Order FDM

Authors

  • E. C. Romao Basic and Environmental Sciences Department, University of Sao Paulo, Lorena, Sao Paulo, Brazil
  • L. H. P. de Assis Basic and Environmental Sciences Department, University of Sao Paulo, Lorena, Sao Paulo, Brazil
Volume: 8 | Issue: 1 | Pages: 2389-2392 | February 2018 | https://doi.org/10.48084/etasr.1724

Abstract

This paper aims to apply the Fourth Order Finite Difference Method (FDM) to solve the one-dimensional unsteady conduction-convection equation with energy generation (or sink) in cylindrical and spherical coordinates. Two applications were compared through exact solutions to demonstrate the accuracy of the proposed formulation.

Keywords:

central difference method, cylindrical and spherical coordinates, numerical simulation, numerical efficiency

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References

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T. J. Chung, Computational fluid dynamics, Cambridge University Press, 2002 DOI: https://doi.org/10.1017/CBO9780511606205

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How to Cite

[1]
E. C. Romao and L. H. P. de Assis, “Numerical Simulation of 1D Unsteady Heat Conduction-Convection in Spherical and Cylindrical Coordinates by Fourth-Order FDM”, Eng. Technol. Appl. Sci. Res., vol. 8, no. 1, pp. 2389–2392, Feb. 2018.

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