THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

ANALYTICAL SOLUTION FOR THE 1-D HEAT TRANSFER EQUATIONS WITH RADIATIVE LOSS

ABSTRACT
In this paper, we consider the 1-D heat transfer equation with radiative loss. The variational iterative Sumudu type integral transform is used to obtain the analytical solution for the heat transfer problems. The presented method is efficient and accurate.
KEYWORDS
PAPER SUBMITTED: 2017-03-10
PAPER REVISED: 2017-05-01
PAPER ACCEPTED: 2017-05-10
PUBLISHED ONLINE: 2017-12-02
DOI REFERENCE: https://doi.org/10.2298/TSCI17S1047L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Supplement 1, PAGES [S47 - S53]
REFERENCES
  1. Howell, J. R., et al., Thermal Radiation Heat Transfer, CRC Press, New York, USA, 2010
  2. Modest, M. F., Radiative Heat Transfer, Academic Press, New York, USA, 2013
  3. Chui, E. H., Raithby, G. D., Computation of Radiant Heat Transfer on a Nonorthogonal Mesh Using the Finite-Volume Method, Numerical Heat Transfer, 23 (1993), 3, pp. 269-288
  4. Abbasbandy, S., The Application of Homotopy Analysis Method to Nonlinear Equations Arising in Heat Transfer, Physics Letters A, 360 (2006), 1, pp. 109-113
  5. Ganji, D. D., Sadighi, A., Application of Homotopy-Perturbation and Variational Iteration Methods to Nonlinear Heat Transfer and Porous Media Equations, Journal of Computational and Applied Mathematics, 207 (2007), 1, pp. 24-34
  6. Belhadj, A., et al., Boubaker Polynomials Expansion Scheme-Related Heat Transfer Investigation Inside Keyhole Model, Journal of Thermophysics and Heat Transfer, 23 (2009), 3, pp. 639-640
  7. Yang, X. J., et al., On Local Fractional Operators View of Computational Complexity, Thermal Science, 20 (2016), Suppl. 3, pp. S723-S727
  8. Yang, X. J., Srivastava, et al., A New Fractional Derivative without Singular Kernel: Application to the Modelling of the Steady Heat Flow, Thermal Science, 20 (2016), 2, pp. 753-756
  9. Yang, X. J., A New Integral Transform Operator for Solving the Heat-Diffusion Problem, Applied Mathematics Letters, 64 (2017), Feb., pp. 193-197
  10. Yang, X. J., A New Integral Transform Method for Solving Steady Heat Transfer Problem, Thermal Science, 20 (2016), Suppl. 3, pp. S639-S642
  11. Weerakoon, S., Complex Inversion Formula for Sumudu Transform, International Journal of Mathematical Education in Science and Technology, 29 (1998), 4, pp. 618-620
  12. Yang, X. J., Gao, F., A New Technology for Solving Diffusion and Heat Equations, Thermal Science, 21 (2017), 1A, pp. 133-140
  13. Gao, L., et al., Analytical Solutions of Linear Diffusion and Wave Equations in Semi-Infinite Domains by Using a New Integral Transform, Thermal Science, 21 (2017), Suppl. 1, pp. S71-S78, (in this issue)

© 2017 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence